On the general transformation of the Wirtinger integral

zbMath1303.33003MaRDI QIDQ2251171

Humihiko Watanabe

Publication date: 11 July 2014

Published in: Osaka Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.ojm/1396966256

zbMATH Keywords

theta functionsfractional transformationgroup \(\Gamma(2)\)Legendre-Jacobi's symbolWirtinger integral

Mathematics Subject Classification ID

Classical hypergeometric functions, ({}_2F_1) (33C05)

Related Items (1)

Twisted cohomology and homology groups associated to the Riemann-Wirtinger integral

Cites Work

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• Transformation relations of matrix functions associated to the hypergeometric function of Gauss under modular transformations
• Tata lectures on theta. I: Introduction and motivation: Theta functions in one variable. Basic results on theta functions in several variables. With the assistance of C. Musili, M. Nori, E. Previato, and M. Stillman
• Twisted homology and cohomology groups associated to the Wirtinger integral

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