Integral Transforms and Special Functions

Article	Citations
The indefinite integrals of Meijer's G-functions from integrating factors	14
Operational rules for a new family of d -orthogonal polynomials of Laguerre type	12
Lipschitz and Dini–Lipschitz functions for the Sturm–Liouville transform	11
On Rainville-type generating functions for Hermite polynomials	9
Generalized form of 2D-Laguerre polynomials	8
On polynomial transformations preserving purely imaginary zeros*	8
On the use of complex Macdonald function in the fractional diffusion equation with the m -harmonic operator	8
Some formulas for Bessel functions related to diag(1, −1, −1)-matrices and an intertwining operator	8
Multidimensional continuous Bessel wavelet transform: properties and applications	7
On the quasi-orthogonality and Hahn-classicald-orthogonal polynomials	7
Analytic continuation of the Kampé de Fériet function and the general double Horn series	6
Finite-part integration of the Hilbert transform	6
Wavelet transform associated with Dunkl transform	5
Leibniz rules for fractional derivatives of non-differentiable functions	5
Fractional Riesz–Feller type derivative for the one dimensional Dunkl operator and Lipschitz condition	5
Characterization of theD-Laguerre–Hahn orthogonal polynomials of class one via the cubic decomposition	5
The continuous Mehler–Fock wavelet packets transform	4
Some integral representations for the Faxén function	4
On the quantum algebra su q (1,1) from a special function standpoint	4
New results on the associated Meixner, Charlier, and Krawtchouk polynomials	4
A matrix approach to λ -Sheffer sequences through λ -Pascal and λ -Wronskian matrices	4
The μ th order Mehler–Fock transform and allied pseudo-differential operator	4
Applications of Laguerre transform to solve Schrödinger-type equations and differential equations of order four	4
Kontorovich–Lebedev wavelet transform on Besov type spaces	4
Convolution theorem for the windowed linear canonical transform	4

Quantitative uncertainty principles for the Gabor spherical mean transform	4
Generalized translation and convolution associated to the linear canonical Fourier–Jacobi transform	4
Correction	4
On the zeros of some d-orthogonal polynomials	4
Explicit expressions for one family of the four parametric linear Euler sums	4
Binomial identities obtained from the Gegenbauer series expansion	4
Hardy-type inequality associated with the Laguerre–Bessel transform	3
Mellin transform in connection with Wigner–Ville transform and linear canonical transform	3
Basis property of the root functions of a class of nonlocal differential operators	3
Linear canonical Jacobi–Dunkl wavelet transform	3
Time-frequency analysis associated with the k -Hankel wavelet transform on ℝ d	3
The heat kernel associated with generalized Kontorovich–Lebedev transform	3
Asymptotics of a Gauss hypergeometric function related to moments of symmetric square L-functions II	3
Bessel operator with Jacobi polynomial integration	3
Commutators of maximal operator with Lipschitz functions on local Morrey-Lorentz spaces	3
Mean value inequalities for the Riemann zeta function	3
Generalization of the Ramanujan's integrals for the Volterra μ -functions via complex contours: representations and approximations	3
The algebra of difference operators associated to Meixner type polynomials	3
Fourier transform of biorthogonal polynomials in one variable	3
On certain subclass of multivalent functions associated with Bessel functions	3
Laplace transform method for the radially deformed Fourier transform	3
Series representations of all branches of the Lambert W function	3
On a new equivalence relation for matrix-valued orthogonal polynomials	3
Weighted integrability of Fourier–Jacobi transforms	3
Generalization of Titchmarsh's theorem for the linear Canonical Fourier–Bessel transform	2
On a variant of multivariate Mittag-Leffler's function arising in the Laplace transform method	2
A note on the bilateral binomial theorem	2
Spectrogram analysis associated with the Sturm–Liouville multiplier operators	2
End-point estimates of the totally-geodesic Radon transform on spaces of constant curvature: a unified approach	2
The symmetric Dw-Laguerre–Hahn orthogonal polynomial of class one	2
Approaching the Riemann hypothesis using Salem's equivalence and inversion formulae of a Widder–Lambert-type transform	2
Some expansion formulas for Brenke polynomial sets	2
On some integrals involving the inverse tangent integrals	2
New identities for the Laplace transform and their applications	2
Contiguous values for a class of nonterminating 3F2(1)-series	2
On Neumann series of Macdonald functions	2
On modular forms and Domb numbers	2
On the generalized Dunkl Dini–Lipschitz spaces	2
Four hypergeometric summation theorems with trigonometric parameters	2
Uniqueness and stability for a seismic-type generalized Radon transform	2
On the algebraic structure of Mehler–Fock–Clifford convolution and applications	2
The explicit solutions for a class of fractional Fourier–Laplace convolution equations	2
Uniform asymptotic expansions for Bessel functions of imaginary order and their zeros	2
New cases of Hankel operator diagonalization	2
Evaluating six Apéry-like series of weight 5	2
Generalized absolute convergence of Fourier-Jacobi expansions	2
The h-Fourier sine-Laplace discrete generalized convolution on time scale	2
Some evaluations of parametric Euler type sums of harmonic numbers	2
Generalization of Titchmarsh's theorem for the modified Whittaker transform	1
Poisson summation formula and index transforms	1

Abelian and Tauberian results for the fractional Fourier and short-time Fourier transforms of distributions	1
New Mittag-Leffler type functions from solving fractional pantograph differential equations	1
On a ℂ2-valued integral index transform and bilateral hypergeometric series	1
Linear canonical Fourier–Bessel wavelet transform: properties and inequalities	1
Weighted mixed inequalities for commutators of Schrödinger type operators	1
Boas-type results for Mellin transform	1
Inequalities for ratios of modified Struve functions	1
Generalization of Titchmarsh's theorems for the Minkowski algebra	1
Two-dimensional contiguous relations for the linearization coefficients of classical orthogonal polynomials	1
The L 2 -Ritt's type integro-differential operators of the real Lebedev–Skalskaya transform revisited	1
Stability of initial-boundary value problem for diffusion equation on a half space	1
A note on wavelet packet summation methods	1
Sufficient conditions for the weighted integrability of Fourier–Laguerre transforms	1
New series expansions for the ℋ-function of communication theory	1
Polynomial approximation using Gegenbauer polynomials	1
Shannon, Sobolev and uncertainty inequalities for the Weinstein transform	1
Sharp weighted Hölder mean bounds for the complete elliptic integral of the second kind	1
On some formulas for the Horn function H7(a, b, b′; c; w, z)	1
On connection between zeros and d -orthogonality	1
On the characterizations of third-degree semiclassical forms via polynomial mappings	1
On a class of multidimensional fractional Stockwell transform and uncertainty principles	1
On some integrals of Ramanujan type	1
Inversion formulae for a Lambert-type transform and the Salem's equivalence to the Riemann hypothesis	1
The convolution estimates and Parseval–Goldstein type theorem in the framework of generalized Kontorovich–Lebedev transforms	1
On differentiation with respect to parameters of the functions of the Mittag–Leffler type	1
Vanishing moments of wavelets associated with generalized-phase Boas transforms	1
Inversion formula and uncertainty inequalities for the Weinstein-type Segal–Bargmann transform	1
On the first root of two-parametric Mittag–Leffler functions: a functional perspective	1
Trigonometric weighted generalized convolution operator associated with Fourier cosine–sine and Kontorovich–Lebedev transformations	1
Other family of cubic decomposition of a semiclassical form of class one	1
Anisotropic wavelet-type transforms associated with a Laplace-Bessel differential operator and relevant reproducing formulas	1
Uniform upper bounds and asymptotic expansions for certain index kernels	1
L p − L q estimates for the soluti	1
Some Fourier transforms involving confluent hypergeometric functions	1
Characterizations of the gyrator transform via the fractional Fourier transform	1
Continuous characterization of Besov spaces by the mean of the wavelet transform with rotations	1
A novel special affine convolution and short time special affine Fourier transform	1
Ramanujan-Berndt-type integrals of order four and series associated with Jacobi elliptic functions	1
On some properties of the Neumann polynomials	1
Characterizations of anisotropic Lipschitz functions via the commutators of anisotropic maximal function in Lorentz spaces	1
On some relations in the class of multi-index Mittag-Leffler functions	1
Explicit, recurrent, determinantal expressions of the k th power of formal power series and applications to the generalized Bernoulli numbers	1
Fourier–Feynman transforms of cylinder functionals combining Gaussian paths on Wiener space	1
The fractional multi-dimensional Bessel transform and its role in anisotropic Riesz-Bessel potential	1
On some relations between hyper Bessel–Clifford, Macdonald and Meijer functions and hyper Hankel–Clifford integral transforms	1
Fractional moments	1
Polynomial sequences associated with the fractional Pascal measure	1
The canonical Jacobi–Dunkl transform and its applications	1
Directional Stockwell transform in L2(ℝn)	1
Fractional calculus for the Hartley transform	1
Wavelet convolutors on the space of distributions	1
On convergence of Fourier series in discrete Jacobi–Sobolev spaces	1
A note on the operator norm of the Laplace transformation	1
Bell polynomials and generalized Laplace transforms	1
Correction	0
Generalized fractional Stockwell transform and its associated pseudo-differential operator	0
On the fractional space-time Fourier transforms	0
Multidimensional short-time fractional Fourier transform	0
Mellin transform of shifted Airy functions and of their products	0
Upper bounds and asymptotic expansion for Macdonald's function and the summability of the Kontorovich-Lebedev integrals	0
The natural boundary of Fourier-Laplace transforms of functions in the half-line Schwartz space	0
A complex function that interpolates the Dunkl factorial	0
A large family of third degree Laguerre–Hahn linear functionals of class zero	0
Study of an example of Markov chains involving Chebyshev polynomials	0
Deformed Hankel Wigner distribution: theory and Toeplitz operators	0
A Laguerre series methodology for the inversion of Laplace transforms	0
Accessibility of a dilogarithm identity related to hyperbolic functions	0
Hausdorff type operators and wavelet transform associated with the Weinstein operator	0
Recurrence relation for the Appell sequences	0
Properties of the fractional Clifford–Fourier transform	0
Extension to a family of integrals related to values of the Riemann zeta function	0
New formulas for Maclaurin's series expansions of powers of arctangent and other related topics	0
Monotonicity rules for the ratio of two Laplace transforms with second-order oscillation	0
Composition structure of polyconvolution associated with index Kontorovich–Lebedev transform and Fourier integrals	0
Analytic continuation of Lauricella's function for large in modulo variables in logarithmic case	0
Expressing Hilbert and Riesz transforms in terms of wavelet transforms	0
On the polyconvolution operator with a trigonometric weight function for the Hartley integral transforms and applications	0
Unifying discrete and integral transforms through the use of a Banach algebra	0
On the generalized Apostol–Euler polynomials	0
Inequalities for the integral mean of Hölder continuous functions on planar p -disks	0

On a conjecture involving Askey–Wilson polynomials	0
Euler-type sums involving odd harmonic numbers and binomial coefficients	0
More q -analogs of congruences involving Catalan numbers	0
A new family of orthogonal polynomials related to Mellin transforms of Gegenbauer polynomials	0
The symmetric Dunkl-classical orthogonal polynomials revisited	0
The Jacobi-Sobolev, Laguerre-Sobolev, and Gegenbauer-Sobolev differential equations and their interrelations	0
Harmonic analysis associated with the linear canonical Fourier–Jacobi transform	0
Hardy type inequalities on multidimensional balls	0
Connection formulas between Fourier–Legendre/Jacobi expansions and central binomial series	0
Dual Laplace integral transforms associated to Jacobi-Dunkl kernel	0
Correction	0
A generalization of Szász operators including Dunkl–Appell polynomials of class A (2)	0
On Meijer's G function Gm,np,p for m + n = p	0
Removable sets for fractional heat and fractional Bessel-heat equations	0
Hausdorff type operators and wavelet transform associated with the modified Whittaker transform	0
Explicit evaluation of a family of Ramanujan-type integrals	0
On the closed form of Clausen functions	0
Generalized Weinstein convolution in the space Dα,d,np and its dual	0
Several characterizations of third-degree semiclassical linear forms of class two appearing via cubic decomposition	0
Solution to a problem involving central binomial coefficients	0
Composition of wavelet transforms and wave packet transform associated with Kontorovich-Lebedev-Clifford transform	0
A generic inequality for basic special functions	0
Canonical potential and Lp-Sobolev space involving linear canonical Fourier transform	0
On the theory of orthogonal polynomials for the weight xνexp⁡(−x−t/x). II	0
???? α,β,ν trigonometric and hyperbolic generalized functions	0
Correction	0
inequality for a modified Struve transform	0
Parseval-Goldstein type theorems for the index Whittaker transform	0
The continuous fractional Bessel wavelet transform and its applications	0
Mellin transform on compactly supported Boehmians	0
Reproducing formulas for L 2 -multiplier operators related to the k -Hankel transform	0
Generalized Lambert-type transforms over integrable Boehmians	0
An extension of Maass theory to general Dirichlet series	0
Characterization of some quantum semiclassical orthogonal polynomials via a certain algebraic equation	0
Mikusiński's operational calculus for Prabhakar fractional calculus	0
Starlikeness and convexity of normalized Miller–Ross function	0
All iterated antiderivatives of the Lambert W function	0
Characterization of W -type spaces via the gyrator pseudo-differential operators	0
Iteration of the Laplace transform over generalized functions and a Post-Widder inversion formula over distributions of compact support	0
On a higher-order version of a formula due to Ramanujan	0
A novel integral identity for circular and diamond symmetric functions	0
The linear canonical Fourier-Jacobi wavelet transform	0
Finite transforms with applications to Bessel differential equations of order higher than two	0
Bi-parametric potentials and fractional Sobolev-type spaces associated with the Dunkl operators on IRd	0
Compactness of commutators of some integral operators on generalized Morrey spaces with variable exponent	0
Limits of some integrals connected with Bessel analysis	0
The generalized Fourier convolution on time scales	0
Interpolated multiple t -values of general level with fixed weight, depth and height	0
Trigonometric sums via inverse series relations	0
Fourier transform and estimates for stability of Laplace equation with Dirichlet boundary condition on half space	0
Conditioning of Fourier sums on a cubic curve	0
On the Barnes double gamma function	0
New uncertainty principles for the free metaplectic wavelet transform	0
Calderón's formulas and uncertainty principles for the Laguerre–Bessel Lα2-multiplier operators	0
On boundedness of Hausdorff-type operators on Sobolev spaces	0
Laguerre-type general-Appell polynomials	0
Parseval–Goldstein type theorems for the Sturm–Liouville transform	0
Operational rules and d-orthogonal polynomials of Laguerre type	0
Numerical solution and accelerated computations for a radiative transfer equation in stellar atmospheres	0
Gyrator potential operator and L p -Sobolev spaces involving Gyrator transform	0
Calderón's reproducing formulas for the poly-axiallyLα2-multiplier operators	0
Hardy's inequality for a class of generalized Hankel transform	0
Monotonicity properties of several functions involving the difference between the modified Bessel and Struve functions of the first kind	0
On the zeros of derivatives of Bessel functions	0
Raabe's formula for gamma function via Riemann–Liouville fractional integrals and generalized Glaisher constants	0
Fractal Sturm–Liouville problems	0
On the theory of orthogonal polynomials for the weight xν exp (−x − t/x). I	0
Extensions of Ramanujan's formula involving the Landau constants	0
Titchmarsh-type theorems for the Hartley integral transform	0
Abelian and Tauberian results for the fractional Hankel transform of generalized functions	0
Lauricella hypergeometric series F D ( n ) <	0
Quantitative uncertainty principles associated with the Laguerre wavelet transform and signal recovery	0
Multiplicity results for the generalized extensible beam equations with concave–convex nonlinearities	0
Paley–Wiener theorems for the Bessel wavelet transformation	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
Fractional Laguerre derivatives and associated differential equations	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
On zeros of discrete paraorthogonal polynomials on the unit circle	0
Special affine Fourier transform of tempered distributions and pseudo-differential operators	0
Generalized Wigner transform associated with the Jacobi-Dunkl operator and uncertainty principles	0
Constructing basises in solution space of the system of equations for the Lauricella Function F D (N)	0
Absolutely convergent Fourier–Jacobi series and generalized Lipschitz classes	0
Positivity of oscillatory integrals and Hankel transforms	0
Weyl–Hartley–Bessel-transforms on the real line	0
Characterization of orthogonal polynomials on lattices	0
Some results on the generalized hypergeometric function	0
Boundedness of bilinear Dunkl–Hausdorff operators on products of Lebesgue and Morrey spaces	0
On the Big Hartley transform	0
Another proof of the validity of Keiper–Li’s criterion to prove the Riemann hypothesis	0
The reverse translation and convolution estimates and continuity of operators associated to the generalized Kontorovich–Lebedev transform	0
Directional Stockwell transform of distributions	0
On weighted solutions of ∂¯-equation in the complex plane C	0
Extending Gosper's 3F2(34)-series by three integer parameters	0
A convergent version of Watson's lemma for double integrals	0
Identities for combinatorial sums involving trigonometric functions	0