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19992018
most citedKernel Functions for Difference Operators of Ruijsenaars Type and Their Applications

43 citations · 201 across the 25 of their papers we have counts for

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Showing 2014Show all

5 papers · 1 filter

math.CA2014

Duality transformation formulas for multiple elliptic hypergeometric series of type

Yasushi Komori, Yasuho Masuda, Masatoshi Noumi

New duality transformation formulas are proposed for multiple elliptic hypergeometric series of type and of type . Various transformation and summation formulas are derived…

math.NT2014★ 6 cited

Infinite series involving hyperbolic functions

Yasushi Komori, Kohji Matsumoto, Hirofumi Tsumura

In the former part of this paper, we summarize our previous results on infinite series involving the hyperbolic sine function, especially, with a focus on the hyperbolic sine analo…

math.NT2014

Lattice sums of hyperplane arrangements

Yasushi Komori, Kohji Matsumoto, Hirofumi Tsumura

We introduce certain lattice sums associated with hyperplane arrangements, which are (multiple) sums running over integers, and can be regarded as generalizations of certain linear…

math.NT2014★ 6 cited

Desingularization of multiple zeta-functions of generalized Hurwitz-Lerch type and evaluation of p-adic multiple L-functions at arbitrary integers

Hidekazu Furusho, Yasushi Komori, Kohji Matsumoto +1

We study analytic properties of multiple zeta-functions of generalized Hurwitz-Lerch type. First, as a special type of them, we consider multiple zeta-functions of generalized Eule…

math.NT2014

Spherical functions on the space of -adic unitary hermitian matrices II, the case of odd size

Yumiko Hironaka, Yasushi Komori

We are interested in the harmonic analysis on -adic homogeneous spaces based on spherical functions. In the present paper, we investigate the space of unitary hermitian matr…