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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…