Basic Almost-Poised Hypergeometric Series.

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.

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Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.