Dn Basic Hypergeometric Series
Copyright policy )Dn Basic Hypergeometric Series
The purpose of this paper is the study of multiple series extensions of basic hypergeometric series related to the root system \(D_n\). The starting point in this paper is a small change in the notation of \(C_n\) and \(D_n\) series to bring them closer to \(A_n\) series. In this manner three types of series are combined and \(D_n\) extensions of a string of summation and transformation formulas are derived. \(A_n\)- and \(C_n\)-extensions of the Rogers-Selberg function are also defined and a reduction formula is proved for both of them which generalizes some work of Andrews.
- Indian Statistical Institute India
- NIIT (India) India
multiple basic hypergeometric series, Combinatorial aspects of partitions of integers, Basic hypergeometric functions in one variable, \({}_r\phi_s\), Other basic hypergeometric functions and integrals in several variables, Rogers-Selberg function, Combinatorial identities, bijective combinatorics
multiple basic hypergeometric series, Combinatorial aspects of partitions of integers, Basic hypergeometric functions in one variable, \({}_r\phi_s\), Other basic hypergeometric functions and integrals in several variables, Rogers-Selberg function, Combinatorial identities, bijective combinatorics
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