A new family of functional series relations involving digamma functions
type: Item
instance of: scholarly article
title: A new family of functional series relations involving digamma functions
zbMATH Open document ID: 0869.33006
author: R. K. Ladda
author: Ravinder Krishna Raina
published in: Annales Mathématiques Blaise Pascal
publication date: 1997-04-16T00:00:00Z
full work available at URL: http://www.numdam.org/item
full work available at URL: https://eudml.org/doc/79164
review text: This paper is devoted to obtain a new family of functional series relations involving the digamma functions. The approach of derivations is based upon series rearrangement methods. Due to the generality of the functional series relations involving arbitrary coefficients \(A(r)\), several known and new series summations involving digamma functions are derived. A summation formula involving the well-known H-function has also been established by applying the main result.
reviewed by: Som Prakash Goyal
Mathematics Subject Classification ID: 33C60
zbMATH DE Number: 1000029
zbMATH Keywords: digamma functions
zbMATH Keywords: series relations
zbMATH Keywords: H-function
MaRDI profile type: Publication
OpenAlex ID: W1996499430
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DOI: 10.5802/AMBP.76
description: scientific article; zbMATH DE number 1000029