OOIR: Observatory of International Research

Papers

(The median citation count 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 2020-11-01 to 2024-11-01.)

Article	Citations
A new product formula involving Bessel functions	15
Linear canonical wave packet transform	14
Fourier-Bessel transforms and generalized uniform Lipschitz classes	13
On the extension of the coupled fractional Fourier transform and its properties	12
On the fractional Bessel operator	12
On some formulas for the Horn functions H₆(a, b, b′w, z) and H₈^(c)(a, b;w, z)	11
Mikusiński's operational calculus for Prabhakar fractional calculus	10
Symbolic computations via Fourier–Legendre expansions and fractional operators	9
A convolution-based special affine wavelet transform	9
Analytic continuation of Lauricella's function F_D^(N) for variables close to unit near hyperplanes {z_j = z_l}	9
Generalized Bessel potential and its application to non-homogeneous singular screened Poisson equation	8
On some formulas for the Horn functions H₅ (a, b; c;w, z) and (a; c;w, z)	8
Analytic continuation of Lauricella's function F_D^(N) for large in modulo variables near hyperplanes {z_j = z_l	7
On some formulas for the Horn functions H₄(a, b; c, c′;w, z) and H₇^(c) (a; c, c′;w, z)	7
A generalized sextic Freud weight	6
Quadratic-phase Fourier transform of tempered distributions and pseudo-differential operators	6
Remark on a Mittag–Leffler function of Le Roy type	6
On the Hankel transform of functions from Nikol'ski type classes	5
Generalization of Titchmarsh's theorem for the modified Whittaker transform	5
Integrability of the Fourier–Jacobi transform of functions satisfying Lipschitz and Dini–Lipschitz-type estimates	5
A general class of integral transforms and an expression for their convolution formulas	5
Fourier series for coherent pairs of Jacobi measures	5
Lebedev–Skalskaya transforms and allied operators on certain function spaces	5
On some formulas for the Horn function H₇(a, b, b′; c; w, z)	4
Young inequalities for a Fourier cosine and sine polyconvolution and a generalized convolution	4

Canonical potential and L^p-Sobolev space involving linear canonical Fourier transform	4
Quantitative uncertainty principles associated with the directional short-time Fourier transform	4
Symmetric differential operators for Sobolev orthogonal polynomials of Laguerre- and Jacobi-type	4
Expressing Hilbert and Riesz transforms in terms of wavelet transforms	4
Some properties relating to the Mittag–Leffler function of two variables	4
Weighted integrability of Fourier–Jacobi transforms	4
A new asymptotic representation and inversion method for the Student's t distribution	3
On some relations between hyper Bessel–Clifford, Macdonald and Meijer functions and hyper Hankel–Clifford integral transforms	3
Abelian and Tauberian results for the fractional Fourier and short-time Fourier transforms of distributions	3
Cauchy type problems for fractional differential equations	3
Bell polynomials and generalized Laplace transforms	3
On a variant of multivariate Mittag-Leffler's function arising in the Laplace transform method	3
On the generalized Dunkl Dini–Lipschitz spaces	3
Linear and nonlinear Bessel potentials associated with the Poly-axially operator	3
Applications of Caputo operators in the evaluation of Clebsch–Gordan-type multiple elliptic integrals	3
Inequalities related to spherical harmonics associated with the Weinstein operator	3
The explicit solutions for a class of fractional Fourier–Laplace convolution equations	3
Generalization of Titchmarsh's theorems for the Minkowski algebra	3
Jacobi-type functions defined by fractional Bessel derivatives	3
Indefinite integrals involving the exponential integral function	2
Fractional Riesz–Feller type derivative for the one dimensional Dunkl operator and Lipschitz condition	2
On the properties of zeros of Bessel series in the real line	2
Lipschitz–Hankel identities and integral representations of toroidal functions	2
Discrete Lebedev–Skalskaya transforms	2
An extension of Maass theory to general Dirichlet series	2
Lie-type operational approach to modified 2D-Laguerre polynomials	2
Quantitative uncertainty principles for the Gabor spherical mean transform	2
On the characterizations of third-degree semiclassical forms via polynomial mappings	2
Analytic continuation of the Kampé de Fériet function and the general double Horn series	2
Interlacing of zeros of Laguerre polynomials of equal and consecutive degree	2
Some evaluations of parametric Euler type sums of harmonic numbers	2
On the zeros of some d-orthogonal polynomials	2
Non-homogeneous wave equation on a cone	2
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)	2
Explicit evaluation of some integrals involving polylogarithm functions	2
Hyponormal Toeplitz operators on weighted Bergman spaces	2
On Meijer's G function G^m,n_p,p for m + n = p	2
Singular value decomposition of the attenuated conical Radon transform with a fixed central axis and opening angle	2
On the theory of orthogonal polynomials for the weight x^ν exp (−x − t/x). I	2
Product formula for the one-dimensional (k,a) -generalized Fourier kernel	2
On some formulas for the confluent Horn functions H ₁₀ ^{( c )}	2
Infinite series involving harmonic numbers of convergence rate 1/2	2
Asymptotic expansions of Kummer hypergeometric functions for large values of the parameters	2
Inversion formula and uncertainty inequalities for the Weinstein-type Segal–Bargmann transform	2
Some integral operators and their relation to multidimensional Fourier-Bessel transform on L_α²(ℝ₊ⁿ) and applications	1
Matrix hypergeometric functions, semi-classical orthogonal polynomials and quantum Painlevé equations	1
Some integral representations for the Faxén function	1
Indefinite integrals involving Jacobi polynomials from integrating factors	1
On some relations in the class of multi-index Mittag-Leffler functions	1
Logarithmic asymptotic of multi-level Hermite–Padé polynomials	1

Continuous characterization of Besov spaces by the mean of the wavelet transform with rotations	1
Sufficient conditions for the Lebesgue integrability of Mellin transforms	1
Relationships between the *_w-product and the generalized integral transforms	1
The Fourier transform of a function related to cylinder functions and asymptotic expansions with logarithmic terms	1
New formulas for Maclaurin's series expansions of powers of arctangent and other related topics	1
On the theory of orthogonal polynomials for the weight xνexp⁡(−x−t/x). II	1
Integrals of polylogarithms and infinite series involving generalized harmonic numbers	1
Some results on Dunkl-coherent Pairs	1
Fractional Stockwell transform of Lizorkin distributions	1
On differential systems related to generalized Meixner and deformed Laguerre orthogonal polynomials	1
Linear canonical Fourier–Bessel wavelet transform: properties and inequalities	1
Rate of convergence at the hard edge for various Pólya ensembles of positive definite matrices	1
Approaching the Riemann hypothesis using Salem's equivalence and inversion formulae of a Widder–Lambert-type transform	1
On matrix Cauchy biorthogonal polynomials	1
Fractional moments	1
Construction of modular function bases for Γ₀(121) related to p(11n+6)	1
Generalization of the Ramanujan's integrals for the Volterra μ -functions via complex contours: representations and approximations	1
Generalized translation and convolution associated to the linear canonical Fourier–Jacobi transform	1
Unifying discrete and integral transforms through the use of a Banach algebra	1
Lebedev identities and integral representations of products of Hermite functions	1
Multiple q-Kravchuk polynomials	1
Parseval-Goldstein type theorems for the index Whittaker transform	1
Sharp weighted Hölder mean bounds for the complete elliptic integral of the second kind	1
The continuous fractional Bessel wavelet transform and its applications	1
Analogues of Beurling's theorem for some integral transforms	1
Contiguous values for a class of nonterminating ₃F₂(1)-series	1
Bicomplex hypergeometric function and its properties	1
Binomial identities obtained from the Gegenbauer series expansion	1
Inversion formulae for a Lambert-type transform and the Salem's equivalence to the Riemann hypothesis	1
Operational rules and d-orthogonal polynomials of Laguerre type	1
Certain results on generating functions related to the associated Meixner-Pollaczek polynomials	1
Generalized Lambert-type transforms over integrable Boehmians	1
The h-Fourier sine-Laplace discrete generalized convolution on time scale	1
Discrete Hahn-classicald-orthogonal polynomials	1
Indefinite integrals from Wronskians and related linear second-order differential equations	1
Sufficient conditions for the weighted integrability of Fourier–Laguerre transforms	1
Directional Stockwell transform in L²(ℝⁿ)	1
Analytical solution of the generalized space-time fractional ultra-hyperbolic differential equation	1
Voros coefficients of the Gauss hypergeometric differential equation with a large parameter	1
Relations for a class of terminating ₄F₃(4) hypergeometric series	1
Characterizations of the gyrator transform via the fractional Fourier transform	1
Calderón's reproducing formulas for the poly-axiallyL_α²-multiplier operators	1
On the polyconvolution operator with a trigonometric weight function for the Hartley integral transforms and applications	1
Limit relations involving 2-orthogonal polynomials	1