Cover Image

A Generalized Closed Form of Ramanujan-Type Fourier Cosine Transform via Meijer's G-Function

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Dar, S. A., Paris, R. P.
Format:	Preprint
Published:	2026
Subjects:	Number Theory 33C60, 33C65, 33C70, 33B15, 33C05, 33C45, 33C10
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Erdélyi-type integrals for $F_K$ function and their $q$-analogues
by: Guo, Liang-Jia, et al.
Published: (2025)

Asymptotics of Saran's hypergeometric function $F_K$
by: Hang, Peng-Cheng, et al.
Published: (2024)

Fourier transforms of orthogonal structures on the paraboloid
by: Çetin, Hasan Özkan, et al.
Published: (2025)

Derivatives of Humbert confluent hypergeometric functions with respect to their parameters
by: Shehata, Ayman, et al.
Published: (2021)

On the application of a hypergeometric identity to generate generalized hypergeometric reduction formulas
by: González-Santander, J. L.
Published: (2025)

Asymptotics of the Humbert Function $Ψ_1$ for Two Large Arguments
by: Hang, Peng-Cheng, et al.
Published: (2024)

A note on the multiple generating functions for multivariate Laguerre polynomials
by: Guo, Liang-Jia, et al.
Published: (2026)

The non-central gamma sum and difference distributions: exact distribution and asymptotic expansions
by: Gaunt, Robert E., et al.
Published: (2026)

Fourier transforms of orthogonal polynomials on the cone
by: Karaman, Rabia Aktaş, et al.
Published: (2024)

On some Analytic Inequalities for Gauss Hypergeometric Functions via Gruss Discrete Inequality
by: Raissouli, Mustapha, et al.
Published: (2024)

Higher-order Hermite numbers: Properties and applications to evolution problems
by: Dattoli, Giuseppe, et al.
Published: (2025)

McMahon-type asymptotic expansions of the zeros of the Coulomb wave functions
by: Gil, Amparo, et al.
Published: (2024)

Polynomial and rational measure modifications of orthogonal polynomials via infinite-dimensional banded matrix factorizations
by: Gutleb, Timon S., et al.
Published: (2023)

Absolute moments of the variance-gamma distribution
by: Gaunt, Robert E.
Published: (2024)

Asymptotic Identities for Jacobi Polynomials via Spectral Geometry of Rank-One Symmetric Spaces
by: Sharma, Ankita
Published: (2025)

Uniform asymptotic expansions for the zeros of parabolic cylinder functions
by: Dunster, T. M., et al.
Published: (2024)

New biorthogonal sequences generated by index integrals of the weight functions
by: Yakubovich, Semyon
Published: (2026)

Two closed-form evaluations for the generalized hypergeometric function ${}_4F_3(\frac1{16})$
by: Rathie, Arjun K., et al.
Published: (2023)

Fast Ramanujan--type Series for Logarithms. Part II
by: Zuniga, Jorge
Published: (2025)

An extended version of the $_{r+1}R_{s,k}(B,C,z)$ matrix function
by: Shehata, Ayman
Published: (2023)

Integrals of products of four modified Bessel functions
by: Gaunt, Robert E.
Published: (2026)

On the characterization of chordal graphs using Horn hypergeometric series
by: Biswas, Dipnit, et al.
Published: (2024)

Representations of $\mathrm{GL}_2$ over $\mathbb{Z}/p^n\mathbb{Z}$ and supercongruences for hypergeometric polynomials
by: Ichino, Atsushi, et al.
Published: (2025)

On the characteristic function of the asymmetric Student's $t$-distribution and an integral involving the sine function
by: Gaunt, Robert E.
Published: (2026)

Symmetrical Sonin kernels in terms of the hypergeometric functions
by: Luchko, Yuri
Published: (2023)

The AGM of Gauss, Ramanujan's corresponding theory, and spectral bounds of self-adjoint operators
by: Faulhuber, Markus, et al.
Published: (2022)

A Ramanujan's hypergeometric transformation formula, its validity range and implications
by: Shpot, M. A.
Published: (2024)

(Strange) gamma evaluations
by: Zudilin, Wadim
Published: (2025)

Recurrence relations for the Maclaurin coefficients of products of elementary functions and Hypergeometric functions
by: Mao, Zhong-Xuan, et al.
Published: (2026)

Extending the Meijer $G$-function
by: Karp, Dmitrii, et al.
Published: (2024)

Unveiling new perspectives of hypergeometric functions using umbral techniques
by: Dattoli, Giuseppe, et al.
Published: (2024)

On the incomplete Lauricella matrix functions of several variables
by: Verma, Ashish
Published: (2020)

Large-degree asymptotic expansions for the Jacobi and related functions
by: Nemes, Gergő
Published: (2024)

Generalized product formulas for Whittaker's functions and a novel class of index transforms
by: Yakubovich, Semyon
Published: (2025)

Meta Algebras and Biorthogonal Rational Functions: The Hahn Case
by: Tsujimoto, Satoshi, et al.
Published: (2024)

Fractions of Recurrence Operators for Generalized Fourier Series in Classical Orthogonal Polynomials
by: Benoit, Alexandre, et al.
Published: (2026)

A Tribute to Richard Askey, and an Expansive View of Some of his Favorite Beta Integrals
by: Richards, Donald
Published: (2025)

Building hierarchies of semiclassical Jacobi polynomials for spectral methods in annuli
by: Papadopoulos, Ioannis P. A., et al.
Published: (2023)

On the generalized interlacing property for the zeros of Bessel functions
by: Chung, Seok-Young, et al.
Published: (2023)

A new index transform with the square of Whittaker's function
by: Yakubovich, Semyon
Published: (2025)