New series expansions for the ℋ-function of communication theory

Ferreira, Chelo; López García, José Luis; Pérez Sinusía, Ester

Publication:
New series expansions for the ℋ-function of communication theory

dc.contributor.author	Ferreira, Chelo
dc.contributor.author	López García, José Luis
dc.contributor.author	Pérez Sinusía, Ester
dc.contributor.department	Estadística, Informática y Matemáticas	es_ES
dc.contributor.department	Estatistika, Informatika eta Matematika	eu
dc.contributor.department	Institute for Advanced Materials and Mathematics - INAMAT2	en
dc.contributor.funder	Universidad Pública de Navarra / Nafarroako Unibertsitate Publikoa	es
dc.date.accessioned	2023-10-31T07:52:03Z
dc.date.available	2023-10-31T07:52:03Z
dc.date.issued	2023
dc.date.updated	2023-10-31T07:44:45Z
dc.description.abstract	TheH-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.	en
dc.description.sponsorship	Open access funding provided by Universidad Pública de Navarra.	en
dc.format.mimetype	application/pdf	en
dc.identifier.citation	Ferreira, 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/10.1080/10652469.2023.2234556	en
dc.identifier.doi	10.1080/10652469.2023.2234556
dc.identifier.issn	1065-2469
dc.identifier.uri	https://academica-e.unavarra.es/handle/2454/46669
dc.language.iso	eng	en
dc.publisher	Taylor & Francis	en
dc.relation.ispartof	Integral Transforms and Special Functions (2023), 1-12	en
dc.relation.publisherversion	https://doi.org/10.1080/10652469.2023.2234556
dc.rights	© 2023 The Author(s). This is an Open Access article distributed under the terms of the Creative Commons Attribution-NonCommercial-NoDerivatives License.	en
dc.rights.accessRights	info:eu-repo/semantics/openAccess
dc.rights.uri	http://creativecommons.org/licenses/by-nc-nd/4.0/
dc.subject	ℋ-function	en
dc.subject	Asymptotic expansions	en
dc.subject	Convergent expansions	en
dc.subject	Special functions	en
dc.title	New series expansions for the ℋ-function of communication theory	en
dc.type	info:eu-repo/semantics/article
dc.type.version	Versión publicada / Argitaratu den bertsioa	es
dc.type.version	info:eu-repo/semantics/publishedVersion	en
dspace.entity.type	Publication
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