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Some properties and expansions associated with the q -digamma function.
- Source :
- QM - Quaestiones Mathematicae; Mar2013, Vol. 36 Issue 1, p67-77, 11p
- Publication Year :
- 2013
-
Abstract
- This paper is devoted to derive some properties and expansions associated with the q-digamma function. The Newton series which is consisting of terms of forward difference operator, is established for the q-digamma function. The maltiplication formula of the q-gamma function is used to present some recurrence relations for the q-digamma function. The q-analogue of well-known results in the theory of the digamma function are investigated. One of the most important identities of q-beta integrals is used to introduce some integral representations of the q-digamma function. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 16073606
- Volume :
- 36
- Issue :
- 1
- Database :
- Complementary Index
- Journal :
- QM - Quaestiones Mathematicae
- Publication Type :
- Academic Journal
- Accession number :
- 86689179
- Full Text :
- https://doi.org/10.2989/16073606.2013.779946