OOIR: Observatory of International Research

Papers

(The TQCC of Integral Transforms and Special Functions is 1. The table below lists those papers that are above that threshold based on CrossRef citation counts [max. 250 papers]. The publications cover those that have been published in the past four years, i.e., from 2021-03-01 to 2025-03-01.)

Article	Citations
Multiple q-Kravchuk polynomials	16
Other family of cubic decomposition of a semiclassical form of class one	16
The symmetric Dunkl-classical orthogonal polynomials revisited	15
Optimal power-type Heronian and Lehmer means inequalities for the complete elliptic integrals	12
Some formulas for Bessel functions related to diag(1, −1, −1)-matrices and an intertwining operator	11
The Fourier transform of a function related to cylinder functions and asymptotic expansions with logarithmic terms	10
On polynomial transformations preserving purely imaginary zeros*	9
Canonical potential and L^p-Sobolev space involving linear canonical Fourier transform	9
Applications of Caputo operators in the evaluation of Clebsch–Gordan-type multiple elliptic integrals	8
Uniform upper bounds and asymptotic expansions for certain index kernels	8
A generalized ????-transform for the Fourier-type functional and its applications	7
Time-frequency analysis associated with the k -Hankel wavelet transform on ℝ ^d	6
A mean value formula for the iterated Dunkl-Helmoltz operator	6
Symmetric differential operators for Sobolev orthogonal polynomials of Laguerre- and Jacobi-type	6
Unifying discrete and integral transforms through the use of a Banach algebra	6
Solution to a problem involving central binomial coefficients	5
Inversion of Bessel potentials associated with the Dunkl operators on IRd	5
The heat kernel associated with generalized Kontorovich–Lebedev transform	5
Several characterizations of third-degree semiclassical linear forms of class two appearing via cubic decomposition	5
Sufficient conditions for the Lebesgue integrability of Mellin transforms	5
Operational rules for a new family of d -orthogonal polynomials of Laguerre type	4
Shannon, Sobolev and uncertainty inequalities for the Weinstein transform	4
Generalized fractional Stockwell transform and its associated pseudo-differential operator	4
Indefinite integrals from Wronskians and related linear second-order differential equations	4
Lipschitz and Dini–Lipschitz functions for the Sturm–Liouville transform	4

The indefinite integrals of Meijer's G-functions from integrating factors	4
Compositions of localized fractional derivatives and integrals of a different degree of localization	4
Jacobi-type functions defined by fractional Bessel derivatives	4
Generalized form of 2D-Laguerre polynomials	3
The Lommel polynomials and related formulas	3
Directional Stockwell transform in L²(ℝⁿ)	3
A note on wavelet packet summation methods	3
On Rainville-type generating functions for Hermite polynomials	3
Interlacing of zeros of Laguerre polynomials of equal and consecutive degree	3
Series representations of all branches of the Lambert W function	3
Bilateral Laplace–Feynman transforms on abstract Wiener spaces	3
Generalization of the Ramanujan's integrals for the Volterra μ -functions via complex contours: representations and approximations	3
Gyrator potential operator and L ^p -Sobolev spaces involving Gyrator transform	3
On some formulas for the Horn functions H₆(a, b, b′w, z) and H₈^(c)(a, b;w, z)	3
Quadratic-phase Fourier transform of tempered distributions and pseudo-differential operators	3
Analytic continuation of Lauricella's function F_D^(N) for variables close to unit near hyperplanes {z_j = z_l}	3
Mean value inequalities for the Riemann zeta function	2
Upper bounds and asymptotic expansion for Macdonald's function and the summability of the Kontorovich-Lebedev integrals	2
Wavelet convolutors on the space of distributions	2
Cauchy type problems for fractional differential equations	2
Characterization of theD-Laguerre–Hahn orthogonal polynomials of class one via the cubic decomposition	2
Sums of powers of roots via Bell polynomials	2
Logarithmic asymptotic of multi-level Hermite–Padé polynomials	2
On the closed form of Clausen functions	2
Directional Stockwell transform of distributions	2
The symmetric D_w-Laguerre–Hahn orthogonal polynomial of class one	2
Harmonic analysis associated with the linear canonical Fourier–Jacobi transform	2
The generalized Fourier convolution on time scales	2
Weighted integrability of Fourier–Jacobi transforms	2
Positivity of oscillatory integrals and Hankel transforms	2
Characterization of orthogonal polynomials on lattices	2
On the quasi-orthogonality and Hahn-classicald-orthogonal polynomials	2
Integrability of the Fourier–Jacobi transform of functions satisfying Lipschitz and Dini–Lipschitz-type estimates	2
On inherited properties and Julia sets of exceptional Jacobi polynomials	2
Matrix hypergeometric functions, semi-classical orthogonal polynomials and quantum Painlevé equations	1
Fractional moments	1
Young inequalities for a Fourier cosine and sine polyconvolution and a generalized convolution	1
Fourier series for coherent pairs of Jacobi measures	1
Indefinite integrals involving the exponential integral function	1
The Jacobi-Sobolev, Laguerre-Sobolev, and Gegenbauer-Sobolev differential equations and their interrelations	1
A generalized sextic Freud weight	1
Fractional Riesz–Feller type derivative for the one dimensional Dunkl operator and Lipschitz condition	1
Moments of log-tanh integrals	1
Finite-part integration of the Hilbert transform	1
Approaching the Riemann hypothesis using Salem's equivalence and inversion formulae of a Widder–Lambert-type transform	1
Remark on a Mittag–Leffler function of Le Roy type	1
Boas-type results for Mellin transform	1
The algebra of difference operators associated to Meixner type polynomials	1
On differential systems related to generalized Meixner and deformed Laguerre orthogonal polynomials	1
On Neumann series of Macdonald functions	1

Boundedness of bilinear Dunkl–Hausdorff operators on products of Lebesgue and Morrey spaces	1
Analytic continuation of Lauricella's function F_D^(N) for large in modulo variables near hyperplanes {z_j = z_l	1
On the extension of the coupled fractional Fourier transform and its properties	1
On boundedness of Hausdorff-type operators on Sobolev spaces	1
Some properties relating to the Mittag–Leffler function of two variables	1
Titchmarsh-type theorems for the Hartley integral transform	1
Absolutely convergent Fourier–Jacobi series and generalized Lipschitz classes	1
Wavelet transform associated with Dunkl transform	1
Recurrence relations for Wronskian Laguerre polynomials	1
Abelian and Tauberian results for the fractional Fourier and short-time Fourier transforms of distributions	1
The fractional multi-dimensional Bessel transform and its role in anisotropic Riesz-Bessel potential	1
New cases of Hankel operator diagonalization	1
Reproducing formulas for L ² -multiplier operators related to the k -Hankel transform	1
On the polyconvolution operator with a trigonometric weight function for the Hartley integral transforms and applications	1
Analytic continuation of the Kampé de Fériet function and the general double Horn series	1
Binomial identities obtained from the Gegenbauer series expansion	1
Certain results on generating functions related to the associated Meixner-Pollaczek polynomials	1
On the Barnes double gamma function	1
The h-Fourier sine-Laplace discrete generalized convolution on time scale	1
On a ℂ²-valued integral index transform and bilateral hypergeometric series	1
Multidimensional continuous Bessel wavelet transform: properties and applications	1
On the characterizations of third-degree semiclassical forms via polynomial mappings	1
On the zeros of derivatives of Bessel functions	1
Recurrence relation for the Appell sequences	1
Extending Gosper's 3F2(34)-series by three integer parameters	1
Discrete Fourier-Jacobi transform	1
Fourier–Feynman transforms of cylinder functionals combining Gaussian paths on Wiener space	1
Properties of the fractional Clifford–Fourier transform	1
On modular forms and Domb numbers	1
A note on the operator norm of the Laplace transformation	1
Limits of some integrals connected with Bessel analysis	1
Inversion formula and uncertainty inequalities for the Weinstein-type Segal–Bargmann transform	1
Mikusiński's operational calculus for Prabhakar fractional calculus	1
On Meijer's G function G^m,n_p,p for m + n = p	1
Hyponormal Toeplitz operators on weighted Bergman spaces	1
On the Big Hartley transform	1
Generalization of Titchmarsh's theorems for the Minkowski algebra	1
Identities for combinatorial sums involving trigonometric functions	1