Integral Transforms and Special Functions

Article	Citations
Operational rules for a new family of d -orthogonal polynomials of Laguerre type	18
On polynomial transformations preserving purely imaginary zeros*	17
The indefinite integrals of Meijer's G-functions from integrating factors	16
Some formulas for Bessel functions related to diag(1, −1, −1)-matrices and an intertwining operator	11
Lipschitz and Dini–Lipschitz functions for the Sturm–Liouville transform	10
On Rainville-type generating functions for Hermite polynomials	10
Generalized form of 2D-Laguerre polynomials	9
Multidimensional continuous Bessel wavelet transform: properties and applications	8
Characterization of theD-Laguerre–Hahn orthogonal polynomials of class one via the cubic decomposition	8
On the quasi-orthogonality and Hahn-classicald-orthogonal polynomials	8
Analytic continuation of the Kampé de Fériet function and the general double Horn series	7
Finite-part integration of the Hilbert transform	7
Wavelet transform associated with Dunkl transform	6
Fractional Riesz–Feller type derivative for the one dimensional Dunkl operator and Lipschitz condition	6
Hyponormal Toeplitz operators on weighted Bergman spaces	6
Quantitative uncertainty principles for the Gabor spherical mean transform	5
Leibniz rules for fractional derivatives of non-differentiable functions	5
Explicit expressions for one family of the four parametric linear Euler sums	5
Binomial identities obtained from the Gegenbauer series expansion	5
New results on the associated Meixner, Charlier, and Krawtchouk polynomials	4
Generalized translation and convolution associated to the linear canonical Fourier–Jacobi transform	4
Applications of Laguerre transform to solve Schrödinger-type equations and differential equations of order four	4
The μ th order Mehler–Fock transform and allied pseudo-differential operator	4
The complex moment problem of Dirichlet type	4
On the zeros of some d-orthogonal polynomials	4

On a determinant involving the volume of the unit ball in	4
Convolution theorem for the windowed linear canonical transform	4
Kontorovich–Lebedev wavelet transform on Besov type spaces	3
Fourier transform of biorthogonal polynomials in one variable	3
The heat kernel associated with generalized Kontorovich–Lebedev transform	3
Generalization of the Ramanujan's integrals for the Volterra μ -functions via complex contours: representations and approximations	3
Logarithmic asymptotic of multi-level Hermite–Padé polynomials	3
Some integral representations for the Faxén function	3
Correction	3
Laplace transform method for the radially deformed Fourier transform	3
Mean value inequalities for the Riemann zeta function	3
Mellin transform in connection with Wigner–Ville transform and linear canonical transform	3
Time-frequency analysis associated with the k -Hankel wavelet transform on ℝ d	3
Rate of convergence at the hard edge for various Pólya ensembles of positive definite matrices	3
On the WKB theoretic transformation to the boosted Airy equation	3
The continuous Mehler–Fock wavelet packets transform	3
Symmetric differential operators for Sobolev orthogonal polynomials of Laguerre- and Jacobi-type	3
Weighted integrability of Fourier–Jacobi transforms	3
On certain subclass of multivalent functions associated with Bessel functions	3
The symmetric Dw-Laguerre–Hahn orthogonal polynomial of class one	2
The h-Fourier sine-Laplace discrete generalized convolution on time scale	2
New cases of Hankel operator diagonalization	2
Series representations of all branches of the Lambert W function	2
On some integrals involving the inverse tangent integrals	2
Some expansion formulas for Brenke polynomial sets	2
The explicit solutions for a class of fractional Fourier–Laplace convolution equations	2
The algebra of difference operators associated to Meixner type polynomials	2
On modular forms and Domb numbers	2
Explicit evaluation of some integrals involving polylogarithm functions	2
On a variant of multivariate Mittag-Leffler's function arising in the Laplace transform method	2
On some relations in the class of multi-index Mittag-Leffler functions	2
Generalization of Titchmarsh's theorem for the linear Canonical Fourier–Bessel transform	2
Uniqueness and stability for a seismic-type generalized Radon transform	2
Approaching the Riemann hypothesis using Salem's equivalence and inversion formulae of a Widder–Lambert-type transform	2
On Neumann series of Macdonald functions	2
Contiguous values for a class of nonterminating 3F2(1)-series	2
On the generalized Dunkl Dini–Lipschitz spaces	2
A generalized sextic Freud weight	2
Some evaluations of parametric Euler type sums of harmonic numbers	2
New identities for the Laplace transform and their applications	2
The fractional multi-dimensional Bessel transform and its role in anisotropic Riesz-Bessel potential	1
Boas-type results for Mellin transform	1
Other family of cubic decomposition of a semiclassical form of class one	1
Recurrence relations for Wronskian Laguerre polynomials	1
Multiple q-Kravchuk polynomials	1
On the first root of two-parametric Mittag–Leffler functions: a functional perspective	1
On connection between zeros and d -orthogonality	1
Bell polynomials and generalized Laplace transforms	1
On inherited properties and Julia sets of exceptional Jacobi polynomials	1
New series expansions for the ℋ-function of communication theory	1

Some Fourier transforms involving confluent hypergeometric functions	1
Continuous characterization of Besov spaces by the mean of the wavelet transform with rotations	1
Inversion formulae for a Lambert-type transform and the Salem's equivalence to the Riemann hypothesis	1
Ramanujan-Berndt-type integrals of order four and series associated with Jacobi elliptic functions	1
Abelian and Tauberian results for the fractional Fourier and short-time Fourier transforms of distributions	1
On some integrals of Ramanujan type	1
On a ℂ2-valued integral index transform and bilateral hypergeometric series	1
The L 2 -Ritt's type integro-differential operators of the real Lebedev–Skalskaya transform revisited	1
Fractional moments	1
Shannon, Sobolev and uncertainty inequalities for the Weinstein transform	1
Inversion formula and uncertainty inequalities for the Weinstein-type Segal–Bargmann transform	1
Uniform upper bounds and asymptotic expansions for certain index kernels	1
A note on wavelet packet summation methods	1
Sharp weighted Hölder mean bounds for the complete elliptic integral of the second kind	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
On some formulas for the Horn function H7(a, b, b′; c; w, z)	1
New Mittag-Leffler type functions from solving fractional pantograph differential equations	1
A mean value inequality for the cyclic functions	1
A note on the operator norm of the Laplace transformation	1
On the characterizations of third-degree semiclassical forms via polynomial mappings	1
Analytic continuation of Lauricella's function FD(N) for large in modulo variables near hyperplanes {zj = zl	1
On some relations between hyper Bessel–Clifford, Macdonald and Meijer functions and hyper Hankel–Clifford integral transforms	1
Generalization of Titchmarsh's theorems for the Minkowski algebra	1
Directional Stockwell transform in L2(ℝn)	1
Generalization of Titchmarsh's theorem for the modified Whittaker transform	1
Wavelet convolutors on the space of distributions	1
Polynomial approximation using Gegenbauer polynomials	1
Polynomial sequences associated with the fractional Pascal measure	1
Poisson summation formula and index transforms	1
Fourier–Feynman transforms of cylinder functionals combining Gaussian paths on Wiener space	1
On convergence of Fourier series in discrete Jacobi–Sobolev spaces	1
On a class of multidimensional fractional Stockwell transform and uncertainty principles	1
Stability of initial-boundary value problem for diffusion equation on a half space	1
Linear canonical Fourier–Bessel wavelet transform: properties and inequalities	1
On differentiation with respect to parameters of the functions of the Mittag–Leffler type	1
On some properties of the Neumann polynomials	1
Sufficient conditions for the weighted integrability of Fourier–Laguerre transforms	1
Absolutely convergent Fourier–Jacobi series and generalized Lipschitz classes	0
Compositions of localized fractional derivatives and integrals of a different degree of localization	0
Generalized Lambert-type transforms over integrable Boehmians	0
Matrix hypergeometric functions, semi-classical orthogonal polynomials and quantum Painlevé equations	0
Limit relations involving 2-orthogonal polynomials	0
Finite transforms with applications to Bessel differential equations of order higher than two	0
Unifying discrete and integral transforms through the use of a Banach algebra	0
Generalizations of the Jacobi identity to the case of the Lauricella function FD(N)	0
A new addition theorem for cylinder functions	0
A generalized ????-transform for the Fourier-type functional and its applications	0
On a conjecture involving Askey–Wilson polynomials	0
More q -analogs of congruences involving Catalan numbers	0
Special affine Fourier transform of tempered distributions and pseudo-differential operators	0
Optimal power-type Heronian and Lehmer means inequalities for the complete elliptic integrals	0
Harmonic analysis associated with the linear canonical Fourier–Jacobi transform	0
Certain results on generating functions related to the associated Meixner-Pollaczek polynomials	0
Analytical solution of the generalized space-time fractional ultra-hyperbolic differential equation	0
A mean value formula for the iterated Dunkl-Helmoltz operator	0
Sums of powers of roots via Bell polynomials	0
Directional Stockwell transform of distributions	0
Boundedness of bilinear Dunkl–Hausdorff operators on products of Lebesgue and Morrey spaces	0
On some series of special functions	0
Analytic continuation of Lauricella's function FD(N) for variables close to unit near hyperplanes {zj = zl}	0
Reproducing formulas for L 2 -multiplier operators related to the k -Hankel transform	0
Limits of some integrals connected with Bessel analysis	0
Inequalities related to spherical harmonics associated with the Weinstein operator	0
Generalized fractional Stockwell transform and its associated pseudo-differential operator	0
Parseval–Goldstein type theorems for the Sturm–Liouville transform	0
Gyrator potential operator and L p -Sobolev spaces involving Gyrator transform	0
On differential systems related to generalized Meixner and deformed Laguerre orthogonal polynomials	0
Indefinite integrals from Wronskians and related linear second-order differential equations	0
Calderón's reproducing formulas for the poly-axiallyLα2-multiplier operators	0
A convergent version of Watson's lemma for double integrals	0
Relations for a class of terminating 4F3(4) hypergeometric series	0
Fourier series for coherent pairs of Jacobi measures	0
Fourier-Bessel transforms and generalized uniform Lipschitz classes	0
The continuous fractional Bessel wavelet transform and its applications	0
A new asymptotic representation and inversion method for the Student's t distribution	0
Recurrence relation for the Appell sequences	0
A generic inequality for basic special functions	0
Special issue OPSFA15: orthogonal polynomials, special functions and applications	0
Division problem of a regular symmetric form the case x3u = λxv	0

On the fractional Bessel operator	0
Some properties relating to the Mittag–Leffler function of two variables	0
A novel integral identity for circular and diamond symmetric functions	0
Some integral operators and their relation to multidimensional Fourier-Bessel transform on Lα2(ℝ+n) and applications	0
Young inequalities for a Fourier cosine and sine polyconvolution and a generalized convolution	0
On zeros of discrete paraorthogonal polynomials on the unit circle	0
Monotonicity rules for the ratio of two Laplace transforms with second-order oscillation	0
Laguerre-type general-Appell polynomials	0
Multiple hyperharmonic-star numbers	0
Iteration of the Laplace transform over generalized functions and a Post-Widder inversion formula over distributions of compact support	0
Euler-type sums involving odd harmonic numbers and binomial coefficients	0
Lebedev–Skalskaya transforms and allied operators on certain function spaces	0
An extension of Maass theory to general Dirichlet series	0
Jacobi-type functions defined by fractional Bessel derivatives	0
Parseval-Goldstein type theorems for the index Whittaker transform	0
The Jacobi-Sobolev, Laguerre-Sobolev, and Gegenbauer-Sobolev differential equations and their interrelations	0
Constructing basises in solution space of the system of equations for the Lauricella Function F D (N)	0
On some formulas for the Horn functions H6(a, b, b′w, z) and H8(c)(a, b;w, z)	0
On the zeros of derivatives of Bessel functions	0
Characterization of orthogonal polynomials on lattices	0
Indefinite integrals from Wronskians for Whittaker and Gauss hypergeometric functions	0
Sufficient conditions for the Lebesgue integrability of Mellin transforms	0
Extending Gosper's 3F2(34)-series by three integer parameters	0
The generalized Fourier convolution on time scales	0
Hausdorff type operators and wavelet transform associated with the modified Whittaker transform	0
An operational point of view for the theory of multi-variable/multi-index Hermite polynomials	0
Several characterizations of third-degree semiclassical linear forms of class two appearing via cubic decomposition	0
A generalization of Szász operators including Dunkl–Appell polynomials of class A (2)	0
Correction	0
Inversion of Bessel potentials associated with the Dunkl operators on IRd	0
Canonical potential and Lp-Sobolev space involving linear canonical Fourier transform	0
Voros coefficients and the topological recursion for the hypergeometric differential equation of type (1, 4)	0
On matrix Cauchy biorthogonal polynomials	0
Moments of log-tanh integrals	0
Upper bounds and asymptotic expansion for Macdonald's function and the summability of the Kontorovich-Lebedev integrals	0
Generalized Weinstein convolution in the space Dα,d,np and its dual	0
Raabe's formula for gamma function via Riemann–Liouville fractional integrals and generalized Glaisher constants	0
Mellin transform on compactly supported Boehmians	0
Mellin transform of shifted Airy functions and of their products	0
On the theory of orthogonal polynomials for the weight xνexp⁡(−x−t/x). II	0
Product formula for the one-dimensional (k,a) -generalized Fourier kernel	0
Integrals of polylogarithms and infinite series involving generalized harmonic numbers	0
Mikusiński's operational calculus for Prabhakar fractional calculus	0
inequality for a modified Struve transform	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
Strong asymptotics of Jacobi-type kissing polynomials	0
Generalized Wigner transform associated with the Jacobi-Dunkl operator and uncertainty principles	0
Quantitative uncertainty principles associated with the Laguerre wavelet transform and signal recovery	0
Operational rules and d-orthogonal polynomials of Laguerre type	0
Extension to a family of integrals related to values of the Riemann zeta function	0
Correction	0
Construction of modular function bases for Γ0(121) related to p(11n+6)	0
Solution to a problem involving central binomial coefficients	0
On the fractional space-time Fourier transforms	0
Calderón's formulas and uncertainty principles for the Laguerre–Bessel Lα2-multiplier operators	0
Two-dimensional contiguous relations for the linearization coefficients of classical orthogonal polynomials	0
On a higher-order version of a formula due to Ramanujan	0
A study on the interplay between generalized Boas transform and fractional Fourier transform	0
Paley–Wiener theorems for the Bessel wavelet transformation	0
Properties of the fractional Clifford–Fourier transform	0
The Lommel polynomials and related formulas	0
Positivity of oscillatory integrals and Hankel transforms	0
On the Big Hartley transform	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
Bicomplex hypergeometric function and its properties	0
On boundedness of Hausdorff-type operators on Sobolev spaces	0
The symmetric Dunkl-classical orthogonal polynomials revisited	0
Expressing Hilbert and Riesz transforms in terms of wavelet transforms	0
Correction	0
Bilateral Laplace–Feynman transforms on abstract Wiener spaces	0
Connection formulas between Fourier–Legendre/Jacobi expansions and central binomial series	0
On the Barnes double gamma function	0
On some formulas for the Horn functions H5 (a, b; c;w, z) and (a; c;w, z)	0
On the closed form of Clausen functions	0
Titchmarsh-type theorems for the Hartley integral transform	0
On Meijer's G function Gm,np,p for m + n = p	0
Applications of Caputo operators in the evaluation of Clebsch–Gordan-type multiple elliptic integrals	0
Interlacing of zeros of Laguerre polynomials of equal and consecutive degree	0
Multidimensional short-time fractional Fourier transform	0
A new product formula involving Bessel functions	0
New formulas for Maclaurin's series expansions of powers of arctangent and other related topics	0
Quadratic-phase Fourier transform of tempered distributions and pseudo-differential operators	0
Study of an example of Markov chains involving Chebyshev polynomials	0
Analogues of Beurling's theorem for some integral transforms	0
A bivariate approach to real-rootedness of special polynomials	0
Identities for combinatorial sums involving trigonometric functions	0
A modification of the Prudnikov and Laguerre polynomials	0
A Laguerre series methodology for the inversion of Laplace transforms	0
Lebedev identities and integral representations of products of Hermite functions	0
A large family of third degree Laguerre–Hahn linear functionals of class zero	0
On the polyconvolution operator with a trigonometric weight function for the Hartley integral transforms and applications	0
Infinite series involving harmonic numbers of convergence rate 1/2	0
Voros coefficients of the Gauss hypergeometric differential equation with a large parameter	0
The extension of a functional equation of the Lambert W function	0
On the theory of orthogonal polynomials for the weight xν exp (−x − t/x). I	0