Ferreira González, CheloLópez García, José LuisPérez Sinusía, Ester2023-10-312023-10-312023Ferreira, C., López, J. L., & Pérez Sinusía, E. (2023). New series expansions for the ℋ-function of communication theory. Integral Transforms and Special Functions, 1-12. https://doi.org/10.1080/10652469.2023.22345561065-246910.1080/10652469.2023.2234556https://academica-e.unavarra.es/handle/2454/46669TheH-function of communication theory plays an important role inthe error rate analysis in digital communication with the presenceof additive white Gaussian noise (AWGN) and generalized multipathfading conditions. In this paper we investigate several convergentand/or asymptotic expansions ofHp(z,b,η)for some limiting valuesof their variables and parameters: large values ofz, large values ofp, small values ofη, and values ofb→1. We provide explicit and/orrecursive algorithms for the computation of the coefficients of theexpansions. Some numerical examples illustrate the accuracy of theapproximations.application/pdfeng© 2023 The Author(s). This is an Open Access article distributed under the terms of the Creative Commons Attribution-NonCommercial-NoDerivatives License.ℋ-functionAsymptotic expansionsConvergent expansionsSpecial functionsinfo:eu-repo/semantics/article2023-10-31info:eu-repo/semantics/openAccess