[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 …
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
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 …
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
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 …
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 …
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
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 …
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 …
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 …
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 …
generalized hypergeometric functions and present some new integral and series …
[PDF][PDF] Contiguous function relations and an integral representation for Appell k-series
α α α α α Page 1 53 † Corresponding author © 2015 Conscientia Beam. All Rights Reserved.
CONTIGUOUS FUNCTION RELATIONS AND AN INTEGRAL REPRESENTATION FOR …
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 …
and leveraging two differentiation formulas for the Gauss hypergeometric functions, the …