4 citations · 13 across the 5 of their papers we have counts for
5 papers
Transformation formulas for bilinear sums of basic hypergeometric series
Yasushi Kajihara
A master formula of transformation formulas for bilinear sums of basic hypergeometric series is proposed. It is obtained from the author's previous results on a transformation form…
Symmetry Groups of Hypergeometric Series
Yasushi Kajihara
Structures of symmetries of transformations for Holman-Biedenharn-Louck hypergeometric series: terminating balanced series and elliptic s…
Multiple basic hypergeometric transformation formulas arising from the balanced duality transformation
Yasushi Kajihara
Some multiple hypergeometric transformation formulas arising from the balanced du- ality transformation formula are discussed through the symmetry. Derivations of some transformati…
Multiple elliptic hypergeometric series --An approach from the Cauchy determinant--
Yasushi Kajihara, Masatoshi Noumi
A multiple generalization of elliptic hypergeometric series is investigated and a duality transformation for multiple hypergeometric series is proposed. Our duality transformation…
Raising operators of row type for Macdonald polynomials
Yasushi Kajihara, Masatoshi Noumi
Raising operators of row type are constructed by means of an interpolation method. These are a dual version of the raising operators of column type by A.N.Kirillov and M.Noumi. An…