@article{oai:kitami-it.repo.nii.ac.jp:00008189,
author = {WATANABE, Humihiko},
journal = {Hokkaido Math. J.},
month = {},
note = {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.},
pages = {83--95},
title = {Linear differential relations satisfied by Wirtinger integrals},
volume = {38},
year = {2007}
}