Basic almost-poised hypergeometric series

Basic almost-poised hypergeometric series

by Chu, Wenchang

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Title Statements

  • Full title :Basic almost-poised hypergeometric series / Chu Wenchang.

Edition Statements

  • Publication Date:1998.

Publication Statements

Notes

"September 1998, volume 135, number 642 (second of 5 numbers)."

The Physical Object

  • Description:1 online resource (114 pages) : : illustrations

Edition Identifiers

  • ISBN:9781470402310, 1470402319
  • oclc:ocn908039843
  • LC Classification:QA353.H9
  • Dewey Decimal:510 s

Table of Contents

0 Introduction -- 1 Basic Almost Poised Series -- 1.1 Main reduction formulae -- 1.2 Basic almost poised formulas when e = 0 -- 1.3 Basic almost poised formulas when e = 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 (Ý = u = 1 -- e) -- 2.1A Transforms and the q-Dixon formulas when e = 0 -- 2.1B Transforms and the q-Dixon formulas when e = 1 -- 2.2 Case (Ý = u = -e) -- 2.3 Case (1 + Ý = u = 1 -- e) -- 2.4 Case (Ý -1 = u = 1 -- e) -- 2.5 Case ((Ý = u = 2 -- e)

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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