[PDF][PDF] An integral representation of some k-hypergeometric functions

S Mubeen, GM Habibullah - Int. Math. Forum, 2012 - Citeseer
An Integral Representation of Some k-Hypergeometric Functions ∫ ∫ Page 1 International
Mathematical Forum, Vol. 7, 2012, no. 4, 203 - 207 An Integral Representation of Some k-Hypergeometric …

Joint metrics for EMF exposure and coverage in real-world homogeneous and inhomogeneous cellular networks

Q Gontier, C Wiame, S Wang… - IEEE Transactions …, 2024 - ieeexplore.ieee.org
This paper evaluates the downlink performance of cellular networks in terms of coverage
and electromagnetic field exposure (EMFE), in the framework of stochastic geometry. The …

Ising n-fold integrals as diagonals of rational functions and integrality of series expansions

A Bostan, S Boukraa, G Christol… - Journal of Physics A …, 2013 - iopscience.iop.org
We show that the n-fold integrals χ (n) of the magnetic susceptibility of the Ising model, as
well as various other n-fold integrals of the'Ising class', or n-fold integrals from enumerative …

A New Closed-Form Formula of the Gauss Hypergeometric Function at Specific Arguments

YW Li, F Qi - Axioms, 2024 - mdpi.com
In this paper, the authors briefly review some closed-form formulas of the Gauss
hypergeometric function at specific arguments, alternatively prove four of these formulas …

Ising n-fold integrals as diagonals of rational functions and integrality of series expansions: integrality versus modularity

A Bostan, S Boukraa, G Christol, S Hassani… - arXiv preprint arXiv …, 2012 - arxiv.org
We show that the n-fold integrals $\chi^{(n)} $ of the magnetic susceptibility of the Ising
model, as well as various other n-fold integrals of the" Ising class", or n-fold integrals from …

Asymptotic distribution of the zeros of a certain family of generalized hypergeometric polynomials

JR Zhou, H Li, Y Xu - Applicable Analysis, 2024 - Taylor & Francis
The primary aim of this paper is to investigate the asymptotic distribution of the zeros of
certain classes of hypergeometric q+ 1 F q polynomials. We employ classical analytical …

[PDF][PDF] Identities for the gamma and hypergeometric functions: an overview from Euler to the present

JP Hannah - University of the Witwatersrand, 2013 - core.ac.uk
Equations involving the gamma and hypergeometric functions are of great interest to
mathematicians and scientists, and newly proven identities for these functions assist in …

[PDF][PDF] Extended generalized hypergeometric functions and their applications

MJ Luo, RK Raina - Bull. Math. Anal. Appl, 2013 - researchgate.net
By means of the extended beta function B(κl) b, d, we introduce new extensions of the
generalized hypergeometric functions and present some new integral and series …

[PDF][PDF] Contiguous function relations and an integral representation for Appell k-series

S Mubeen, S Iqbal, G Rahman - Int. J. Math. Res, 2015 - academia.edu
α α α α α Page 1 53 † Corresponding author © 2015 Conscientia Beam. All Rights Reserved.
CONTIGUOUS FUNCTION RELATIONS AND AN INTEGRAL REPRESENTATION FOR …

Closed-form formulas of two Gauss hypergeometric functions of specific parameters

GV Milovanović, F Qi - Journal of Mathematical Analysis and Applications, 2025 - Elsevier
Using the Faà di Bruno formula, along with three identities of the partial Bell polynomials,
and leveraging two differentiation formulas for the Gauss hypergeometric functions, the …