10 citations · 19 across the 3 of their papers we have counts for
3 papers
math.CA2026
Special Solutions of -Heun Equation by -Integral Transformations
Ayaka Murakami, Kouichi Takemura
We obtain special solutions of the -Heun equation which are expressed as finite summations of -hypergeometric functions. These solutions are obtained by considering the -i…
math.CA2012★ 9 cited
Confluence of apparent singularities in multi-indexed orthogonal polynomials: the Jacobi case
C. -L. Ho, R. Sasaki, K. Takemura
The multi-indexed Jacobi polynomials are the main part of the eigenfunctions of exactly solvable quantum mechanical systems obtained by certain deformations of the Pöschl-Teller po…
math-ph2009★ 10 cited
On spectral polynomials of the Heun equation. II
Boris Shapiro, Kouichi Takemura, Milos Tater
The well-known Heun equation has the form: Q(z)S''(z)+P(z)S'(z)+V(z)S(z)=0 where Q(z) is a cubic complex polynomial, P(z) and V(z) are polynomials of degrees at most 2 and 1 resp.…