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 2021-04-01 to 2025-04-01.)

Article	Citations
Multiple q-Kravchuk polynomials	17
Other family of cubic decomposition of a semiclassical form of class one	16
Optimal power-type Heronian and Lehmer means inequalities for the complete elliptic integrals	15
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
Connection formulas between Fourier–Legendre/Jacobi expansions and central binomial series	10
A study on the interplay between generalized Boas transform and fractional Fourier transform	9
On polynomial transformations preserving purely imaginary zeros*	9
Canonical potential and L^p-Sobolev space involving linear canonical Fourier transform	8
A mean value formula for the iterated Dunkl-Helmoltz operator	7
The symmetric Dunkl-classical orthogonal polynomials revisited	6
Uniform upper bounds and asymptotic expansions for certain index kernels	6
A generalized ????-transform for the Fourier-type functional and its applications	6
Applications of Caputo operators in the evaluation of Clebsch–Gordan-type multiple elliptic integrals	6
Symmetric differential operators for Sobolev orthogonal polynomials of Laguerre- and Jacobi-type	5
Several characterizations of third-degree semiclassical linear forms of class two appearing via cubic decomposition	5
Unifying discrete and integral transforms through the use of a Banach algebra	5
Sufficient conditions for the Lebesgue integrability of Mellin transforms	5
The heat kernel associated with generalized Kontorovich–Lebedev transform	5
Time-frequency analysis associated with the k -Hankel wavelet transform on ℝ ^d	5
Solution to a problem involving central binomial coefficients	5
Generalized fractional Stockwell transform and its associated pseudo-differential operator	4
Indefinite integrals from Wronskians and related linear second-order differential equations	4
Shannon, Sobolev and uncertainty inequalities for the Weinstein transform	4
The indefinite integrals of Meijer's G-functions from integrating factors	4

Operational rules for a new family of d -orthogonal polynomials of Laguerre type	4
Lipschitz and Dini–Lipschitz functions for the Sturm–Liouville transform	4
Compositions of localized fractional derivatives and integrals of a different degree of localization	4
Inversion of Bessel potentials associated with the Dunkl operators on IRd	4
Analytic continuation of Lauricella's function F_D^(N) for variables close to unit near hyperplanes {z_j = z_l}	3
Bilateral Laplace–Feynman transforms on abstract Wiener spaces	3
Upper bounds and asymptotic expansion for Macdonald's function and the summability of the Kontorovich-Lebedev integrals	3
On Rainville-type generating functions for Hermite polynomials	3
On some formulas for the Horn functions H₆(a, b, b′w, z) and H₈^(c)(a, b;w, z)	3
Directional Stockwell transform of distributions	3
Directional Stockwell transform in L²(ℝⁿ)	3
Positivity of oscillatory integrals and Hankel transforms	3
Generalized form of 2D-Laguerre polynomials	3
The Lommel polynomials and related formulas	3
Weighted integrability of Fourier–Jacobi transforms	3
Logarithmic asymptotic of multi-level Hermite–Padé polynomials	3
Generalization of the Ramanujan's integrals for the Volterra μ -functions via complex contours: representations and approximations	3
Interlacing of zeros of Laguerre polynomials of equal and consecutive degree	3
Gyrator potential operator and L ^p -Sobolev spaces involving Gyrator transform	2
A note on wavelet packet summation methods	2
Jacobi-type functions defined by fractional Bessel derivatives	2
On the zeros of derivatives of Bessel functions	2
Moments of log-tanh integrals	2
Sums of powers of roots via Bell polynomials	2
Fourier–Feynman transforms of cylinder functionals combining Gaussian paths on Wiener space	2
On the closed form of Clausen functions	2
Series representations of all branches of the Lambert W function	2
Characterization of orthogonal polynomials on lattices	2
The Jacobi-Sobolev, Laguerre-Sobolev, and Gegenbauer-Sobolev differential equations and their interrelations	2
The generalized Fourier convolution on time scales	2
On inherited properties and Julia sets of exceptional Jacobi polynomials	2
Mean value inequalities for the Riemann zeta function	2
Quadratic-phase Fourier transform of tempered distributions and pseudo-differential operators	2
Wavelet convolutors on the space of distributions	2
On the quasi-orthogonality and Hahn-classicald-orthogonal polynomials	2
The symmetric D_w-Laguerre–Hahn orthogonal polynomial of class one	2
Characterization of theD-Laguerre–Hahn orthogonal polynomials of class one via the cubic decomposition	2
Explicit evaluation of some integrals involving polylogarithm functions	1
On the Big Hartley transform	1
Absolutely convergent Fourier–Jacobi series and generalized Lipschitz classes	1
Identities for combinatorial sums involving trigonometric functions	1
Limits of some integrals connected with Bessel analysis	1
On Neumann series of Macdonald functions	1
The algebra of difference operators associated to Meixner type polynomials	1
Binomial identities obtained from the Gegenbauer series expansion	1
Extending Gosper's 3F2(34)-series by three integer parameters	1
Correction	1
Integrability of the Fourier–Jacobi transform of functions satisfying Lipschitz and Dini–Lipschitz-type estimates	1
Hausdorff type operators and wavelet transform associated with the modified Whittaker transform	1
A note on the operator norm of the Laplace transformation	1

Mikusiński's operational calculus for Prabhakar fractional calculus	1
Fourier series for coherent pairs of Jacobi measures	1
Reproducing formulas for L ² -multiplier operators related to the k -Hankel transform	1
Recurrence relation for the Appell sequences	1
Explicit expressions for one family of the four parametric linear Euler sums	1
On Meijer's G function G^m,n_p,p for m + n = p	1
New cases of Hankel operator diagonalization	1
The h-Fourier sine-Laplace discrete generalized convolution on time scale	1
Fractional moments	1
Analytic continuation of Lauricella's function F_D^(N) for large in modulo variables near hyperplanes {z_j = z_l	1
Analytic continuation of the Kampé de Fériet function and the general double Horn series	1
Some properties relating to the Mittag–Leffler function of two variables	1
Titchmarsh-type theorems for the Hartley integral transform	1
On differentiation with respect to parameters of the functions of the Mittag–Leffler type	1
On boundedness of Hausdorff-type operators on Sobolev spaces	1
On some integrals of Ramanujan type	1
On modular forms and Domb numbers	1
Quantitative uncertainty principles for the Gabor spherical mean transform	1
Inversion formula and uncertainty inequalities for the Weinstein-type Segal–Bargmann transform	1
On some relations between hyper Bessel–Clifford, Macdonald and Meijer functions and hyper Hankel–Clifford integral transforms	1
On the polyconvolution operator with a trigonometric weight function for the Hartley integral transforms and applications	1
Multidimensional continuous Bessel wavelet transform: properties and applications	1
Hyponormal Toeplitz operators on weighted Bergman spaces	1
The fractional multi-dimensional Bessel transform and its role in anisotropic Riesz-Bessel potential	1
Certain results on generating functions related to the associated Meixner-Pollaczek polynomials	1
Harmonic analysis associated with the linear canonical Fourier–Jacobi transform	1
Abelian and Tauberian results for the fractional Fourier and short-time Fourier transforms of distributions	1
Approaching the Riemann hypothesis using Salem's equivalence and inversion formulae of a Widder–Lambert-type transform	1
Fractional Riesz–Feller type derivative for the one dimensional Dunkl operator and Lipschitz condition	1
Young inequalities for a Fourier cosine and sine polyconvolution and a generalized convolution	1
Finite-part integration of the Hilbert transform	1
Remark on a Mittag–Leffler function of Le Roy type	1
Wavelet transform associated with Dunkl transform	1
Contiguous values for a class of nonterminating ₃F₂(1)-series	1
Leibniz rules for fractional derivatives of non-differentiable functions	1