The determinant of a hypergeometric period matrix and a generalization of Selberg's integral

DOI10.1016/j.aam.2006.07.001zbMath1130.33005OpenAlexW1999898515MaRDI QIDQ2465835

Donald St. P. Richards, Qifu Zheng

Publication date: 9 January 2008

Published in: Advances in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aam.2006.07.001

zbMATH Keywords

Vandermonde determinanthypergeometric integralSelberg integralmulti-dimensional beta integral

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Gamma, beta and polygamma functions (33B15) Hypergeometric integrals and functions defined by them ((E), (G), (H) and (I) functions) (33C60)

Related Items

On the generalised Selberg integral of Richards and Zheng

Cites Work

• Unnamed Item
• Determinants of period matrices and an application to Selberg's multidimensional beta integral
• Determinant formulas for multidimensional hypergeometric period matrices
• THE EULER BETA-FUNCTION, THE VANDERMONDE DETERMINANT, LEGENDRE'S EQUATION, AND CRITICAL VALUES OF LINEAR FUNCTIONS ON A CONFIGURATION OF HYPERPLANES. I
• THE EULER BETA-FUNCTION, THE VANDERMONDE DETERMINANT, LEGENDRE'S EQUATION, AND CRITICAL VALUES OF LINEAR FUNCTIONS ON A CONFIGURATION OF HYPERPLANES. II
• Jacobi Polynomials Associated with Selberg Integrals