Some infinite series and functional relations that arose in the context of fractional calculus
type: Item
instance of: scholarly article
title: Some infinite series and functional relations that arose in the context of fractional calculus
zbMATH Open document ID: 0979.33010
published in: Journal of Mathematical Analysis and Applications
publication date: 2002-02-21T00:00:00Z
review text: The authors in search of new generalizations of various functional series relations present in this paper four theorems which give series relations involving an arbitrary bounded sequence, gamma and digamma functions, and an arbitrary discrete-valued function. The derivation of the results is direct and uses known summation formulas. Functional relations involving the \(H\)-functions are also derived. Several special cases of the main results are pointed out, particularly, corrections in some earlier known results are also specifically mentioned.
Mathematics Subject Classification ID: 33C60
zbMATH DE Number: 1563466
zbMATH Keywords: \(H\)-functions
zbMATH Keywords: series relations
zbMATH Keywords: digamma functions
author: Kung-Yu Chen
author: H. M. Srivastava
reviewed by: Ravinder Krishna Raina
MaRDI profile type: Publication
full work available at URL: jmaa.2000.7079
OpenAlex ID: W2082275695
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DOI: 10.1006/JMAA.2000.7079
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description: scientific article; zbMATH DE number 1563466