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THE q-DEFORMED GAMMA FUNCTION AND q-DEFORMED POLYGAMMA FUNCTIONopen access
- Authors
- Chung, Won Sang; Kim, Taekyun; Mansour, Toufik
- Issue Date
- Jul-2014
- Publisher
- KOREAN MATHEMATICAL SOC
- Keywords
- q-gamma function; q-polygamma function
- Citation
- BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, v.51, no.4, pp 1155 - 1161
- Pages
- 7
- Indexed
- SCIE
SCOPUS
KCI
- Journal Title
- BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY
- Volume
- 51
- Number
- 4
- Start Page
- 1155
- End Page
- 1161
- ISSN
- 1015-8634
2234-3016
- Abstract
- In this paper, we rederive the identity Gamma(q)(x)Gamma(q)(1 - x) = pi(q)/sin(q)(pi(q)x). Then, we give q-analogue of Gauss' multiplication formula and study representation of q-oscillator algebra in terms of the q-factorial polynomials.
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