000127784 001__ 127784 000127784 005__ 20241125101144.0 000127784 0247_ $$2doi$$a10.1080/10652469.2023.2234556 000127784 0248_ $$2sideral$$a134923 000127784 037__ $$aART-2023-134923 000127784 041__ $$aeng 000127784 100__ $$0(orcid)0000-0002-3698-6719$$aFerreira, Chelo$$uUniversidad de Zaragoza 000127784 245__ $$aNew series expansions for the H-function of communication theory 000127784 260__ $$c2023 000127784 5060_ $$aAccess copy available to the general public$$fUnrestricted 000127784 5203_ $$aThe 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. 000127784 540__ $$9info:eu-repo/semantics/openAccess$$aby-nc-nd$$uhttp://creativecommons.org/licenses/by-nc-nd/3.0/es/ 000127784 590__ $$a0.7$$b2023 000127784 592__ $$a0.597$$b2023 000127784 591__ $$aMATHEMATICS$$b218 / 490 = 0.445$$c2023$$dQ2$$eT2 000127784 593__ $$aApplied Mathematics$$c2023$$dQ2 000127784 591__ $$aMATHEMATICS, APPLIED$$b237 / 332 = 0.714$$c2023$$dQ3$$eT3 000127784 593__ $$aAnalysis$$c2023$$dQ2 000127784 594__ $$a2.2$$b2023 000127784 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/publishedVersion 000127784 700__ $$aLópez, José L. 000127784 700__ $$0(orcid)0000-0002-8021-2745$$aPérez Sinusía, Ester$$uUniversidad de Zaragoza 000127784 7102_ $$12005$$2595$$aUniversidad de Zaragoza$$bDpto. Matemática Aplicada$$cÁrea Matemática Aplicada 000127784 773__ $$g34, 12 (2023), 879-890$$pIntegral transforms spec. funct.$$tIntegral transforms and special functions$$x1065-2469 000127784 8564_ $$s924037$$uhttps://zaguan.unizar.es/record/127784/files/texto_completo.pdf$$yVersión publicada 000127784 8564_ $$s1661573$$uhttps://zaguan.unizar.es/record/127784/files/texto_completo.jpg?subformat=icon$$xicon$$yVersión publicada 000127784 909CO $$ooai:zaguan.unizar.es:127784$$particulos$$pdriver 000127784 951__ $$a2024-11-22-12:03:42 000127784 980__ $$aARTICLE