4 papers
Riemann-Wirtinger integrals on the product of two one-dimensional complex tori
Yoshiaki Goto
The Riemann-Wirtinger integral is an analogue of the hypergeometric integral defined on a one-dimensional complex torus. As a generalization, we define the Riemann-Wirtinger integr…
Notes on twisted homology and cohomology groups for the Wirtinger integral
Yoshiaki Goto, Genki Shibukawa
The Wirtinger integral is one of the integral representations of the Gauss hypergeometric function. Its integrand is given by a product of complex powers of theta functions. We stu…
The Wirtinger-type integral for a genus two curve
Yoshiaki Goto
The Wirtinger integral is one of the integral representations of the Gauss hypergeometric function. Its integrand can be regarded as a multivalued function on an elliptic curve. In…
Monotonicity of solutions to second order linear difference equations with constant coefficients
Yoshiaki Goto, Genki Shibukawa
We describe some monotone properties of solutions to second order linear difference equations with real constant coefficients. As an application, we give a characterization of the…