MultiHypExp: a Mathematica package for expanding multivariate hypergeometric functions in terms of multiple polylogarithms

S Bera - Computer Physics Communications, 2024 - Elsevier
We present the Mathematica package MultiHypExp that allows for the expansion of
multivariate hypergeometric functions (MHFs), especially those likely to appear as solutions …

On the evaluation of the Appell F2 double hypergeometric function

B Ananthanarayan, S Bera, S Friot, O Marichev… - Computer Physics …, 2023 - Elsevier
The transformation theory of the Appell F 2 (a, b 1, b 2; c 1, c 2; x, y) double hypergeometric
function is developed to obtain a set of series representations of F 2 which provide an …

[HTML][HTML] Some decomposition formulas associated with the Lauricella function FA (r) and other multiple hypergeometric functions

A Hasanov, HM Srivastava - Applied Mathematics Letters, 2006 - Elsevier
By making use of some rather elementary techniques based upon certain inverse pairs of
symbolic operators, the authors investigate several decomposition formulas associated with …

[图书][B] An introduction to hypergeometric, supertrigonometric, and superhyperbolic functions

XJ Yang - 2021 - books.google.com
An Introduction to Hypergeometric, Supertigonometric, and Superhyperbolic Functions gives
a basic introduction to the newly established hypergeometric, supertrigonometric, and …

[HTML][HTML] Decomposition formulas associated with the Lauricella multivariable hypergeometric functions

A Hasanov, HM Srivastava - Computers & Mathematics with Applications, 2007 - Elsevier
By making use of some techniques based upon certain inverse pairs of symbolic operators,
the authors investigate several decomposition formulas associated with Lauricella's …

Recursion formulas for Appell's hypergeometric function F2 with some applications to radiation field problems

SB Opps, N Saad, HM Srivastava - Applied mathematics and computation, 2009 - Elsevier
Using some contiguous function relations for the classical Gauss hypergeometric series 2F1,
we establish a number of new recursion formulas for the Appell functionsandwhereSome …

Exact Closed-Form Pfa Expressions for CA- and GO-CFAR Detectors in Gamma-Distributed Radar Clutter

M Sahed, E Kenane, A Khalfa… - IEEE Transactions on …, 2022 - ieeexplore.ieee.org
In this correspondence, two exact closed-form expressions for the probability of false alarm
have been derived assuming a homogeneous Gamma distributed clutter. These …

[HTML][HTML] Applications of the operator H (α, β) to the Humbert double hypergeometric functions

J Choi, A Hasanov - Computers & Mathematics with Applications, 2011 - Elsevier
By making use of some techniques based upon certain new inverse pairs of symbolic
operators, the authors investigate several decomposition formulas associated with Humbert …

Unified stochastic geometry modeling and analysis of cellular networks in LOS/NLOS and shadowed fading

I Trigui, S Affes, B Liang - IEEE Transactions on …, 2017 - ieeexplore.ieee.org
Statistical characterization of the signal-tointerference-plus-noise ratio (SINR) via its
cumulative distribution function is ubiquitous in a vast majority of technical contributions in …

Unified analysis and optimization of D2D communications in cellular networks over fading channels

I Trigui, S Affes - IEEE Transactions on Communications, 2018 - ieeexplore.ieee.org
This paper develops an innovative approach to the modeling and analysis of downlink
cellular networks with device-to-device (D2D) transmissions. The analytical embodiment of …