New series expansions for the H-function of communication theory

Ferreira, Chelo (Universidad de Zaragoza) ; López, José L. ; Pérez Sinusía, Ester (Universidad de Zaragoza)

Resumen: The H-function of communication theory plays an important role in the error rate analysis in digital communication with the presence of additive white Gaussian noise (AWGN) and generalized multipath fading conditions. In this paper we investigate several convergent and/or asymptotic expansions of Hp(z,b,η) for some limiting values of their variables and parameters: large values of z, large values of p, small values of η, and values of b→1. We provide explicit and/or recursive algorithms for the computation of the coefficients of the expansions. Some numerical examples illustrate the accuracy of the approximations.

Idioma: Inglés

DOI: 10.1080/10652469.2023.2234556

Año: 2023

Publicado en: Integral transforms and special functions 34, 12 (2023), 879-890
ISSN: 1065-2469

Factor impacto JCR: 0.7 (2023)

Categ. JCR: MATHEMATICS rank: 218 / 490 = 0.445 (2023) - Q2 - T2
Categ. JCR: MATHEMATICS, APPLIED rank: 237 / 332 = 0.714 (2023) - Q3 - T3

Factor impacto CITESCORE: 2.2 - Analysis (Q2) - Applied Mathematics (Q3)

Factor impacto SCIMAGO: 0.597 - Applied Mathematics (Q2) - Analysis (Q2)

Tipo y forma: Article (Published version)

Área (Departamento): Área Matemática Aplicada (Dpto. Matemática Aplicada)