Multiple hypergeometric functions in communication theory: Evaluations of error probabilities for four-parameter, \( \kappa{-}\mu\) and \(\eta{-}\mu\) signals distributions in general fading channels

DOI10.1134/S1995080222100341OpenAlexW4313003569MaRDI QIDQ2095894

Yu. A. Brychkov, N. V. Savischenko

Publication date: 15 November 2022

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

Full work available at URL: https://doi.org/10.1134/s1995080222100341

zbMATH Keywords

special functionsprobability distribution functionfadingnoise immunityKummer functionGaussian functionAppel functionfour-parameter distributionHumbert functionOwen function\( \eta{-}\mu\) distribution\({\kappa{-}\mu}\) distribution

Mathematics Subject Classification ID

Special functions (33-XX) Information and communication theory, circuits (94-XX)

Related Items (3)

The distribution function of the maximum of \(n\) random variables and its application in communication theory ⋮ Generalized \(IK \)-distribution in noise immunity theory ⋮ Some properties of multiple hypergeometric functions and applications in the probability theory

Cites Work

• Application of hypergeometric functions of several variables in the mathematical theory of communication: evaluation of error probability in fading singlechannel system
• Hypergeometric functions of several variables and evaluation of error probability in fading multichannel system
• On some formulas for the Appell functionF₂(a, b, b′;c, c′;w; z)
• Special Integral Functions Used in Wireless Communications Theory
• Some formulas for the Appell functionF₁(a, b, b′;c; w, z)
• Tables for Computing Bivariate Normal Probabilities
• A special function of communication theory
• On new reduction formulas for the Humbert functions Ψ₂, Φ₂and Φ₃
• Statistical properties of two sine waves in Gaussian noise
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