Integral Transforms and Special Functions

Article	Citations
Operational rules for a new family of d -orthogonal polynomials of Laguerre type	15
Some formulas for Bessel functions related to diag(1, −1, −1)-matrices and an intertwining operator	14
On the use of complex Macdonald function in the fractional diffusion equation with the m -harmonic operator	13
On polynomial transformations preserving purely imaginary zeros*	12
On Rainville-type generating functions for Hermite polynomials	11
Generalized form of 2D-Laguerre polynomials	11
The indefinite integrals of Meijer's G-functions from integrating factors	9
Novel wavelet transforms associated with the offset linear canonical transform	8
Correction	8
Fractional Riesz–Feller type derivative for the one dimensional Dunkl operator and Lipschitz condition	7
Multidimensional continuous Bessel wavelet transform: properties and applications	7
Lipschitz and Dini–Lipschitz functions for the Sturm–Liouville transform	7
Abelian and Tauberian results for the fractional Hankel transform in Zemanian-type spaces	7
Cubic decomposition of 2-orthogonal polynomials related to the Bateman's J n	7
On the quasi-orthogonality and Hahn-classicald-orthogonal polynomials	7
Wavelet transform associated with Dunkl transform	7
A matrix approach to λ -Sheffer sequences through λ -Pascal and λ -Wronskian matrices	6
Finite-part integration of the Hilbert transform	6
Quantitative uncertainty principles for the Gabor spherical mean transform	6
Characterization of theD-Laguerre–Hahn orthogonal polynomials of class one via the cubic decomposition	6
Binomial identities obtained from the Gegenbauer series expansion	6
Finite sums associated with some polynomial identities	6
On the quantum algebra su q (1,1) from a special function standpoint	5
Integrability of the continuum Laguerre wavelet kernel	5
Convolution theorem for the windowed linear canonical transform	5

Interplay between windowed Boas transform and windowed Hilbert transform	5
Explicit expressions for one family of the four parametric linear Euler sums	5
Leibniz rules for fractional derivatives of non-differentiable functions	5
The μ th order Mehler–Fock transform and allied pseudo-differential operator	5
A unified inversion formula for the k -plane transform on constant curvature spaces using Wavelet-like transforms	5
New results on the associated Meixner, Charlier, and Krawtchouk polynomials	5
A generalization of Szász–Baskakov operators including Genocchi polynomials	4
Kontorovich–Lebedev wavelet transform on Besov type spaces	4
Asymptotics of a Gauss hypergeometric function related to moments of symmetric square L-functions II	4
On certain subclass of multivalent functions associated with Bessel functions	4
Generalized translation and convolution associated to the linear canonical Fourier–Jacobi transform	4
Correction	4
Asymptotic evaluation of the Sinc transform of exponential type function resulting to exact polynomial behaviour	4
Hardy-type inequality associated with the Laguerre–Bessel transform	4
Commutators of maximal operator with Lipschitz functions on local Morrey-Lorentz spaces	4
On Ultraspherical polynomials and Wronskian determinants of trigonometric functions	4
Applications of Laguerre transform to solve Schrödinger-type equations and differential equations of order four	4
Bessel operator with Jacobi polynomial integration	4
Fourier transform of biorthogonal polynomials in one variable	4
The continuous Mehler–Fock wavelet packets transform	4
Evaluating six Apéry-like series of weight 5	3
The algebra of difference operators associated to Meixner type polynomials	3
End-point estimates of the totally-geodesic Radon transform on spaces of constant curvature: a unified approach	3
The heat kernel associated with generalized Kontorovich–Lebedev transform	3
Time-frequency analysis associated with the k -Hankel wavelet transform on ℝ d	3
Expressing a class of series in terms of the Riemann zeta and Dirichlet beta functions	3
Basis property of the root functions of a class of nonlocal differential operators	3
Continuity of generalized Kontorovich-Lebedev wavelet transform on Lebesgue, Besov and Besov-type spaces	3
Generalization of the Ramanujan's integrals for the Volterra μ -functions via complex contours: representations and approximations	3
On Neumann series of Macdonald functions	3
Uniform asymptotic expansions for Bessel functions of imaginary order and their zeros	3
On a new equivalence relation for matrix-valued orthogonal polynomials	3
Koenigs functions in the subcritical and critical Markov branching processes with Poisson probability reproduction of particles	3
Laplace transform method for the radially deformed Fourier transform	3
Series representations of all branches of the Lambert W function	3
Linear canonical Jacobi–Dunkl wavelet transform	3
On modular forms and Domb numbers	3
The symmetric Dw-Laguerre–Hahn orthogonal polynomial of class one	3
Mean value inequalities for the Riemann zeta function	3
Mellin transform in connection with Wigner–Ville transform and linear canonical transform	3
Weighted integrability of Fourier–Jacobi transforms	3
A note on the bilateral binomial theorem	2
Contiguous values for a class of nonterminating 3F2(1)-series	2
Abel–Tauber theorem for the continuous Bessel wavelet transforms	2
Local Morrey–Lorentz spaces and commutators of fractional maximal operator with Lipschitz functions on them	2
Improvements on Jensen's functional, Hölder's inequality and Hadamard's inequality	2
Parabolic fractional integral operators on parabolic total Morrey–Guliyev spaces	2
Generalization of Titchmarsh's theorem for the linear Canonical Fourier–Bessel transform	2
On a class of multidimensional fractional Stockwell transform and uncertainty principles	2
New Mittag-Leffler type functions from solving fractional pantograph differential equations	2

Sums of Kapteyn series associated with Anger and Weber functions with coefficients involving trigonometric functions	2
On the algebraic structure of Mehler–Fock–Clifford convolution and applications	2
Spectrogram analysis associated with the Sturm–Liouville multiplier operators	2
Correction	2
Four hypergeometric summation theorems with trigonometric parameters	2
Uniqueness and stability for a seismic-type generalized Radon transform	2
On some relations in the class of multi-index Mittag-Leffler functions	2
Some evaluations of parametric Euler type sums of harmonic numbers	2
On some integrals involving the inverse tangent integrals	2
Inversion formulae for a Lambert-type transform and the Salem's equivalence to the Riemann hypothesis	2
The explicit solutions for a class of fractional Fourier–Laplace convolution equations	2
Generalized absolute convergence of Fourier-Jacobi expansions	2
New identities for the Laplace transform and their applications	2
The h-Fourier sine-Laplace discrete generalized convolution on time scale	2
Approaching the Riemann hypothesis using Salem's equivalence and inversion formulae of a Widder–Lambert-type transform	2
On a variant of multivariate Mittag-Leffler's function arising in the Laplace transform method	2
On connection between zeros and d -orthogonality	2
Some expansion formulas for Brenke polynomial sets	2
On some properties of the Neumann polynomials	2
Linear canonical Fourier–Bessel wavelet transform: properties and inequalities	2
Weighted mixed inequalities for commutators of Schrödinger type operators	2
Generalization of Titchmarsh's theorem for the modified Whittaker transform	1
Vanishing moments of wavelets associated with generalized-phase Boas transforms	1
Uniform upper bounds and asymptotic expansions for certain index kernels	1
Hardy's inequality for a class of generalized Hankel transform	1
Wavelet convolutors on the space of distributions	1
All iterated antiderivatives of the Lambert W function	1
The fractional multi-dimensional Bessel transform and its role in anisotropic Riesz-Bessel potential	1
On some congruences involving harmonic numbers and Bernoulli polynomials	1
Polynomial approximation using Gegenbauer polynomials	1
Two-dimensional contiguous relations for the linearization coefficients of classical orthogonal polynomials	1
A novel special affine convolution and short time special affine Fourier transform	1
???? α -transformation and its uncertainty principles	1
The L 2 -Ritt's type integro-differential operators of the real Lebedev–Skalskaya transform revisited	1
Sufficient conditions for the weighted integrability of Fourier–Laguerre transforms	1
More on the complex branches of the Lambert W function	1
On the characterizations of third-degree semiclassical forms via polynomial mappings	1
Existence results for higher-order superlinear fractional boundary value problems	1
Boas-type results for Mellin transform	1
Abelian and Tauberian results for the fractional Fourier and short-time Fourier transforms of distributions	1
On convergence of Fourier series in discrete Jacobi–Sobolev spaces	1
On some relations between hyper Bessel–Clifford, Macdonald and Meijer functions and hyper Hankel–Clifford integral transforms	1
On differentiation with respect to parameters of the functions of the Mittag–Leffler type	1
Shannon, Sobolev and uncertainty inequalities for the Weinstein transform	1
Generalization of Titchmarsh's theorems for the Minkowski algebra	1
Linearly related orthogonal polynomials: the vision of J. Petronilho	1
New formulas for Maclaurin's series expansions of powers of arctangent and other related topics	1
Fourier–Feynman transforms of cylinder functionals combining Gaussian paths on Wiener space	1
Analytic continuation of Lauricella's function for large in modulo variables in logarithmic case	1
Inequalities for ratios of modified Struve functions	1
Paley–Wiener theorems for the Bessel wavelet transformation	1
A study of the Hermite polynomials associated with Mittag–Leffler function: a novelty approach	1
Fractional calculus for the Hartley transform	1
Sharp weighted Hölder mean bounds for the complete elliptic integral of the second kind	1
Generalized Wigner transform associated with the Jacobi-Dunkl operator and uncertainty principles	1
On the first root of two-parametric Mittag–Leffler functions: a functional perspective	1
Inversion formula and uncertainty inequalities for the Weinstein-type Segal–Bargmann transform	1
On congruences from analogue of higher order generalized Lehmer–Euler numbers	1
Ramanujan-Berndt-type integrals of order four and series associated with Jacobi elliptic functions	1
Polynomial sequences associated with the fractional Pascal measure	1
Explicit, recurrent, determinantal expressions of the k th power of formal power series and applications to the generalized Bernoulli numbers	1
Poisson summation formula and index transforms	1
L p − L q estimates for the soluti	1
Lebedev–Skalskaya transform for Boehmians	1
A note on wavelet packet summation methods	1
Mellin transform on compactly supported Boehmians	1
Wavelet-based inversion and analysis of Flett, Riesz and bi-parametric potentials in ( k , 1)-generalized Fourier framework	1
On zeros of discrete paraorthogonal polynomials on the unit circle	1
Dual Laplace-Jacobi type transforms as permutation operators	1
On the generalized Apostol–Euler polynomials	1
Other family of cubic decomposition of a semiclassical form of class one	1
Iteration of the Laplace transform over generalized functions and a Post-Widder inversion formula over distributions of compact support	1
Characterizations of the gyrator transform via the fractional Fourier transform	1
Trigonometric weighted generalized convolution operator associated with Fourier cosine–sine and Kontorovich–Lebedev transformations	1
Long-time behaviour of solutions to a nonlinear fractional differential system	1
Anisotropic wavelet-type transforms associated with a Laplace-Bessel differential operator and relevant reproducing formulas	1
Some Fourier transforms involving confluent hypergeometric functions	1
Characterizations of anisotropic Lipschitz functions via the commutators of anisotropic maximal function in Lorentz spaces	1
The convolution estimates and Parseval–Goldstein type theorem in the framework of generalized Kontorovich–Lebedev transforms	1
On some integrals of Ramanujan type	1

Riesz basis property of discontinuous Sturm–Liouville problem with transmission condition rationally dependent on the eigenparameter	1
New series expansions for the ℋ-function of communication theory	1
On the absolute monotonicity related to Alzer–Qiu's conjecture	1
The canonical Jacobi–Dunkl transform and its applications	1
On the Barnes double gamma function	0
Monotonicity properties of several functions involving the difference between the modified Bessel and Struve functions of the first kind	0
Multidimensional short-time fractional Fourier transform	0
Inequalities for the integral mean of Hölder continuous functions on planar p -disks	0
A novel integral identity for circular and diamond symmetric functions	0
Some integrals involving rational, Anger and Weber functions with respect to their order and argument	0
The continuous fractional Bessel wavelet transform and its applications	0
Quantitative uncertainty principles associated with the Laguerre wavelet transform and signal recovery	0
A complex function that interpolates the Dunkl factorial	0
Unification and extension of classical integral theorems via the generalized Mittag–Leffler function	0
Accessibility of a dilogarithm identity related to hyperbolic functions	0
The h -Hartley-cosine discrete generalized convolution on the time scale ???? h	0
Fourier transform and estimates for stability of Laplace equation with Dirichlet boundary condition on half space	0
On the well-posedness of time-space fractional Schrödinger equation on ℝ d	0
A refined variant of Hartley convolution: algebraic structures, spectral radius and related issues	0
Simplicity criteria for zeros of Mittag–Leffler functions	0
On some generalized Calogero series	0
More q -analogs of congruences involving Catalan numbers	0
Multiplicity results for the generalized extensible beam equations with concave–convex nonlinearities	0
Characterization of orthogonal polynomials on lattices	0
A convergent version of Watson's lemma for double integrals	0
Unifying discrete and integral transforms through the use of a Banach algebra	0
Hausdorff type operators and wavelet transform associated with the modified Whittaker transform	0
Extension to a family of integrals related to values of the Riemann zeta function	0
A note on Gaussian family of the Leonardo polynomials	0
Le Roy, Lerch and Legendre chi functions and generalised Borel-Le Roy transform	0
The Jacobi-Sobolev, Laguerre-Sobolev, and Gegenbauer-Sobolev differential equations and their interrelations	0
From the Schläfli function to Coxeter's integrals	0
Characterization of W -type spaces via the gyrator pseudo-differential operators	0
A Laguerre series methodology for the inversion of Laplace transforms	0
Explicit evaluation of a family of Ramanujan-type integrals	0
A new inversion formula for Laplace transform using Laguerre polynomials	0
???? α,β,ν trigonometric and hyperbolic generalized functions	0
A generic inequality for basic special functions	0
Composition structure of polyconvolution associated with index Kontorovich–Lebedev transform and Fourier integrals	0
New uncertainty principles for the free metaplectic wavelet transform	0
A note on Ramanujan-type integrals	0
A response letter for the editor's reports on the paper: On the polyconvolution operator with a trigonometric weight function for Hartley integral transforms and applications	0
Properties of the fractional Clifford–Fourier transform	0
Calderón's reproducing formulas for the poly-axiallyLα2-multiplier operators	0
Fractional Laguerre derivatives and associated differential equations	0
Generalized Weinstein convolution in the space Dα,d,np and its dual	0
Absolutely convergent Fourier–Jacobi series and generalized Lipschitz classes	0
Binomial harmonic series via parametric integration	0
Directional Stockwell transform of distributions	0
Bi-parametric potentials and fractional Sobolev-type spaces associated with the Dunkl operators on IRd	0
Laguerre-type general-Appell polynomials	0
Characterization of some quantum semiclassical orthogonal polynomials via a certain algebraic equation	0
The generalized Fourier convolution on time scales	0
A family of Fourier transform eigenfunctions	0
Study of an example of Markov chains involving Chebyshev polynomials	0
Finite transforms with applications to Bessel differential equations of order higher than two	0
Solution to a problem involving central binomial coefficients	0
Parseval–Goldstein type theorems for the Sturm–Liouville transform	0
Special affine Fourier transform of tempered distributions and pseudo-differential operators	0
Gyrator potential operator and L p -Sobolev spaces involving Gyrator transform	0
Some remarks on the order structures of multi-polylogarithms	0
On some formulas for the confluent Horn functions H3(c) (a, b, c; d; w, z), H4(c) (a, c; d; w, z) and H9(c) (a, b; c; w, z)	0
Abelian and Tauberian results for the fractional Hankel transform of generalized functions	0
Weyl–Hartley–Bessel-transforms on the real line	0
Hardy type inequalities on multidimensional balls	0
The natural boundary of Fourier-Laplace transforms of functions in the half-line Schwartz space	0
inequality for a modified Struve transform	0
Limits of some integrals connected with Bessel analysis	0
A generalization of Szász operators including Dunkl–Appell polynomials of class A (2)	0
Mellin transform of shifted Airy functions and of their products	0
Constructing basises in solution space of the system of equations for the Lauricella Function F D (N)	0
Convergence criteria for Frullani-type integrals involving differences of cosines	0
Composition of wavelet transforms and wave packet transform associated with Kontorovich-Lebedev-Clifford transform	0
The symmetric Dunkl-classical orthogonal polynomials revisited	0
Reproducing formulas for L 2 -multiplier operators related to the k -Hankel transform	0
A calculus approach to the tempered ultrahyperfunctions	0
Monotonicity rules for the ratio of two Laplace transforms with second-order oscillation	0
Fractal Sturm–Liouville problems	0
On the polyconvolution operator with a trigonometric weight function for the Hartley integral transforms and applications	0
On the Big Hartley transform	0
Connection formulas between Fourier–Legendre/Jacobi expansions and central binomial series	0
A recipe for obtaining algebraic addition theorems of the Weierstrass elliptic function	0
Starlikeness and convexity of normalized Miller–Ross function	0
Recurrence relation for the Appell sequences	0
On the fractional space-time Fourier transforms	0
Extensions of Ramanujan's formula involving the Landau constants	0
Operational rules and d-orthogonal polynomials of Laguerre type	0
On a higher-order version of a formula due to Ramanujan	0
Infinite integrals containing trigonometric, Anger and Weber functions with respect to the order and argument	0
Umbral techniques to integral equations for Sheffer-Bessel functions	0
Euler-type sums involving odd harmonic numbers and binomial coefficients	0
Some generalized Euler-type sums involving harmonic numbers and binomial coefficients	0
New simple proofs of uncertainty inequalities for linear canonical space-time transform	0
Expressing Hilbert and Riesz transforms in terms of wavelet transforms	0
Raabe's formula for gamma function via Riemann–Liouville fractional integrals and generalized Glaisher constants	0