Application of hypergeometric functions of two variables in wireless communication theory

DOI10.1134/S1995080219070096zbMath1435.94003OpenAlexW2965141234MaRDI QIDQ2330220

Yu. A. Brychkov, N. V. Savischenko

Publication date: 25 October 2019

Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1995080219070096

zbMATH Keywords

hypergeometric functionsspecial functionsbit error rateMarcum \(Q\)-function\(\mathcal{H}\)-function

Mathematics Subject Classification ID

Hypergeometric integrals and functions defined by them ((E), (G), (H) and (I) functions) (33C60) Classical hypergeometric functions, ({}_2F_1) (33C05) Communication theory (94A05)

Related Items (11)

Analytic continuation of the Kampé de Fériet function and the general double Horn series ⋮ Analytic continuation of Lauricella's function F_D^(N) for large in modulo variables near hyperplanes {z_j = z_l} ⋮ Formulas for analytic continuation of Horn functions of two variables ⋮ Analytic continuation of Lauricella's function F_D^(N) for variables close to unit near hyperplanes {z_j = z_l} ⋮ Constructing basises in solution space of the system of equations for the Lauricella Function F _D ^(N) ⋮ Formulas for computing the Lauricella function in the case of crowding of variables ⋮ Some formulas for Horn's hypergeometric function \(\mathrm{G}_B\) of three variables ⋮ Formulas for computing Euler-type integrals and their application to the problem of constructing a conformal mapping of polygons ⋮ Monotonicity of three kinds of functions involving the Gaussian hypergeometric function ⋮ Horn's hypergeometric functions with three variables ⋮ Analytic continuation of Lauricella's functions , and

Cites Work

• Special Integral Functions Used in Wireless Communications Theory
• On some properties of the MarcumQfunction
• Analytic Expressions and Bounds for Special Functions and Applications in Communication Theory
• A special function of communication theory
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