1 citations · 1 across the 3 of their papers we have counts for
3 papers
math.CA2014
Bilateral zeta functions associated with the multiple sine functions
Genki Shibukawa
We introduce two types bilateral zeta functions, which are related to the primitive and normalized multiple sine functions respectively. Further, we establish their main properties…
math.CA2014
Multivariate circular Jacobi polynomials
Genki Shibukawa
We introduce a new multivariate orthogonal polynomial which is a 2-parameter deformation of the spherical polynomial by harmonic analysis on symmetric cone. This is also regarded a…
math.CA2014★ 1 cited
Multivariate Meixner, Charlier and Krawtchouk polynomials
Genki Shibukawa
We introduce some multivariate analogues of Meixner, Charlier and Krawtchouk polynomials, and establish their main properties, that is, duality, degenerate limits, generating funct…