Wenchang, Chu.

Basic Almost-Poised Hypergeometric Series. - 1st ed. - 1 online resource (114 pages) - Memoirs of the American Mathematical Society ; v.135 . - Memoirs of the American Mathematical Society .

Intro -- Contents -- 0 Introduction -- 1 Basic Almost Poised Series -- 1.1 Main reduction formulae -- 1.2 Basic almost poised formulas when δ = 0 -- 1.3 Basic almost poised formulas when δ = 1 -- 1.4 Additional formulae for [sub(4ø3)][…] and [sub(5ø4)][…] -- 1.5 Equivalent classes under reversal operations -- 2 The q-Whipple Transformations -- 2.1 Case (β = ρ = 1 - δ) -- 2.1A Transforms and the q-Dixon formulas when δ = 0 -- 2.1B Transforms and the q-Dixon formulas when δ = 1 -- 2.2 Case (β = ρ = -δ) -- 2.3 Case (1 + β = ρ = 1 - δ) -- 2.4 Case (β -1 = ρ = 1 - δ) -- 2.5 Case ((β = ρ = 2 - δ) -- 2.6 Exceptional cases -- 2.7 Equivalent classes -- 3 Bilateral Almost-Poised Evaluations -- 4 The Rogers-Ramanujan Identities -- 5 The q-Clausen-Orr-Formulae -- Appendix: Mathematica Program.

9781470402310


Hypergeometric series.


Electronic books.

QA353.H9 -- C48 1998eb

510 s;515/.243