THE q-DEFORMED GAMMA FUNCTION AND q-DEFORMED POLYGAMMA FUNCTION

Chung, Won Sang; Kim, Taekyun; Mansour, Toufik

doi:10.4134/BKMS.2014.51.4.1155

상세 보기

THE q-DEFORMED GAMMA FUNCTION AND q-DEFORMED POLYGAMMA FUNCTION

Chung, Won Sang;
Kim, Taekyun;
Mansour, Toufik

Citations

WEB OF SCIENCE

10

Citations

SCOPUS

9

초록

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.

키워드

q-gamma function; q-polygamma function

제목: THE q-DEFORMED GAMMA FUNCTION AND q-DEFORMED POLYGAMMA FUNCTION

저자: Chung, Won Sang; Kim, Taekyun; Mansour, Toufik

DOI: 10.4134/BKMS.2014.51.4.1155

발행일: 2014-07

유형: Article

저널명: 대한수학회보

권: 51

호: 4

페이지: 1155 ~ 1161

언어: ENG

출판사: KOREAN MATHEMATICAL SOC

발행국가: 대한민국

분량: 7 페이지

ISSN: E 2234-3016
P 1015-8634