2024-03-29T13:54:10Z
https://kitami-it.repo.nii.ac.jp/oai
oai:kitami-it.repo.nii.ac.jp:00008189
2022-12-13T02:19:44Z
1:87
Linear differential relations satisfied by Wirtinger integrals
WATANABE, Humihiko
Wirtinger integral
theta function
We will derive linear differential relations satisfied by Wirtinger integrals
by exploiting classical formulas of Jacobi’s theta functions. Although Wirtinger integrals
are related to Gauss’ hypergeometric functions, we will do that without referring
to Gauss’ hypergeometric differential equation. We believe that our method to derive
them will be applicable to another definite integral defined on the torus which has as
integrand a power product of not necessarily four theta functions, and which is not a
lift of any definite integral defined on the complex projective line.
journal article
Hokkaido University, Department of Mathematics
2007
application/pdf
Hokkaido Math. J.
38
83
95
https://kitami-it.repo.nii.ac.jp/record/8189/files/2009_Linear differential relations satisfied by Wirtinger integrals.pdf
eng
c2009 Hokkaido University, Department of Mathematics
open access