The q-deformed gamma function and q-deformed polygamma function

Won Sang Chung; Taekyun Kim; Toufik Mansour

doi:10.4134/BKMS.2014.51.4.1155

The q-deformed gamma function and q-deformed polygamma function

Won Sang Chung, Taekyun Kim, Toufik Mansour

Department of Mathematics

University of Haifa

Research output: Contribution to journal › Article › peer-review

Abstract

In this paper, we rederive the identity. Then, we give q-analogue of Gauss' multiplication formula and study representation of q-oscillator algebra in terms of the q-factorial polynomials.

Original language	American English
Pages (from-to)	1155-1161
Number of pages	7
Journal	Bulletin of the Korean Mathematical Society
Volume	51
Issue number	4
DOIs	https://doi.org/10.4134/BKMS.2014.51.4.1155
State	Published - 2014

Keywords

q-gamma function
q-polygamma function

All Science Journal Classification (ASJC) codes

General Mathematics

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10.4134/BKMS.2014.51.4.1155

Cite this

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title = "The q-deformed gamma function and q-deformed polygamma function",

abstract = "In this paper, we rederive the identity. 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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AU - Chung, Won Sang

AU - Kim, Taekyun

AU - Mansour, Toufik

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AB - In this paper, we rederive the identity. Then, we give q-analogue of Gauss' multiplication formula and study representation of q-oscillator algebra in terms of the q-factorial polynomials.

KW - q-gamma function

KW - q-polygamma function

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U2 - 10.4134/BKMS.2014.51.4.1155

DO - 10.4134/BKMS.2014.51.4.1155

M3 - Article

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VL - 51

SP - 1155

EP - 1161

JO - Bulletin of the Korean Mathematical Society

JF - Bulletin of the Korean Mathematical Society

IS - 4

ER -

The q-deformed gamma function and q-deformed polygamma function

Abstract

Keywords

All Science Journal Classification (ASJC) codes

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