101 citations · 758 across the 43 of their papers we have counts for
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Geometric Aspects of Painlevé Equations
Kenji Kajiwara, Masatoshi Noumi, Yasuhiko Yamada
In this paper a comprehensive review is given on the current status of achievements in the geometric aspects of the Painlevé equations, with a particular emphasis on the discrete P…
A generalization of the Sears--Slater transformation and elliptic Lagrange interpolation of type
Masahiko Ito, Masatoshi Noumi
The connection formula for the Jackson integral of type is obtained in the form of a Sears--Slater type expansion of a bilateral multiple basic hypergeometric series as a li…
Evaluation of the elliptic Selberg integral via the fundamental invariants
Masahiko Ito, Masatoshi Noumi
We give an alternative proof of the evaluation formula for the elliptic Selberg integral of type as an application of the fundamental -invariants.
Derivation of a elliptic summation formula via the fundamental invariants
Masahiko Ito, Masatoshi Noumi
We give an alternative proof of an elliptic summation formula of type by applying the fundamental invariants to the study of Jackson integrals associated with the sum…
Padé interpolation and hypergeometric series
Masatoshi Noumi
We propose a class of Padé interpolation problems whose solutions are expressible in terms of determinants of hypergeometric series.