"타원 감마 함수"의 두 판 사이의 차이

2015년 8월 15일 (토) 03:18 판

$$ \Gamma (z;p,q) = \prod_{m=0}^\infty \prod_{n=0}^\infty \frac{1-p^{m+1}q^{n+1}/z}{1-p^m q^n z} $$

Sadjang, P. Njionou. ‘On the $(p,q)$-Gamma and the $(p,q)$-Beta Functions’. arXiv:1506.07394 [math-Ph], 22 June 2015. http://arxiv.org/abs/1506.07394.
Krasniqi, Valmir, and Faton Merovci. “Some Completely Monotonic Properties for the $(p,q )$-Gamma Function.” arXiv:1407.4231 [math], July 16, 2014. http://arxiv.org/abs/1407.4231.
Felder, Giovanni, Andre Henriques, Carlo A. Rossi, and Chenchang Zhu. “A Gerbe for the Elliptic Gamma Function.” Duke Mathematical Journal 141, no. 1 (January 2008): 1–74. doi:10.1215/S0012-7094-08-14111-0.
Felder, G., and A. Varchenko. “Multiplication Formulas for the Elliptic Gamma Function.” arXiv:math/0212155, December 11, 2002. http://arxiv.org/abs/math/0212155.
Felder, Giovanni, and Alexander Varchenko. “The Elliptic Gamma Function and SL(3,Z) X Z^3.” Advances in Mathematics 156, no. 1 (December 2000): 44–76. doi:10.1006/aima.2000.1951.

@@ 1번째 줄: / 1번째 줄: @@
+==개요==
+* [[Q-감마함수]]의 일반화
+$$
+\Gamma (z;p,q) = \prod_{m=0}^\infty \prod_{n=0}^\infty
+\frac{1-p^{m+1}q^{n+1}/z}{1-p^m q^n z}
+$$
 ==매스매티카 파일 및 계산 리소스==
 * https://drive.google.com/file/d/0B8XXo8Tve1cxN3Y4ZU5VLUNLdVU/view
@@ 7번째 줄: / 15번째 줄: @@
 ==관련논문==
+* Sadjang, P. Njionou. ‘On the $(p,q)$-Gamma and the $(p,q)$-Beta Functions’. arXiv:1506.07394 [math-Ph], 22 June 2015. http://arxiv.org/abs/1506.07394.
+* Krasniqi, Valmir, and Faton Merovci. “Some Completely Monotonic Properties for the $(p,q )$-Gamma Function.” arXiv:1407.4231 [math], July 16, 2014. http://arxiv.org/abs/1407.4231.
 * Felder, Giovanni, Andre Henriques, Carlo A. Rossi, and Chenchang Zhu. “A Gerbe for the Elliptic Gamma Function.” Duke Mathematical Journal 141, no. 1 (January 2008): 1–74. doi:10.1215/S0012-7094-08-14111-0.
 * Felder, G., and A. Varchenko. “Multiplication Formulas for the Elliptic Gamma Function.” arXiv:math/0212155, December 11, 2002. http://arxiv.org/abs/math/0212155.