2024-03-28T15:04:42Zhttps://eprints.lib.hokudai.ac.jp/dspace-oai/requestoai:eprints.lib.hokudai.ac.jp:2115/696602022-11-17T02:08:08Zhdl_2115_45007hdl_2115_116Linear differential relations satisfied by Wirtinger integralsWatanabe, Humihikoopen accessWirtinger integraltheta function410We will derive linear differential relations satis ed by Wirtinger integrals by exploiting classical formulas of Jacobi's theta functions, forgetting that Wirtinger integrals are related to Gauss hypergeometric functions, although these linear differential relations are related to ones satis ed by Gauss hypergeometric functions.Department of Mathematics, Hokkaido University2007engdepartmental bulletin paperVoRhttps://doi.org/10.14943/84001http://hdl.handle.net/2115/6966010.14943/84001Hokkaido University Preprint Series in Mathematics85117https://eprints.lib.hokudai.ac.jp/dspace/bitstream/2115/69660/1/pre851.pdfapplication/pdf74.37 KB2007