SU\G(𝔸)/K·U

A Multidimensional Generalization of Shukla's 8ψ8 Summation

Michael J. Schlosser

Type: Article

Publication Date: 2003-02-07

Citations: 4

DOI: https://doi.org/10.1007/s00365-001-0016-6

Locations

  • Constructive Approximation - View
  • arXiv (Cornell University) - View - PDF
  • DataCite API - View

Similar Works

Action Title Year Authors
+ Basic hypergeometric series very well-poised in U(n) 1987 Stephen C. Milne
+ PDF Chat Elliptic Well-Poised Bailey Transforms and Lemmas on Root Systems 2018 Gaurav Bhatnagar
Michael J. Schlosser
+ New multiple 6 ψ 6 summation formulas and related conjectures 2011 V. P. Spiridonov
S. Ole Warnaar
+ New multiple 6 ψ 6 summation formulas and related conjectures 2013 V. P. Spiridonov
S. Ole Warnaar
+ Bailey type summation formulas associated with the root system <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:msubsup><mml:mi>F</mml:mi><mml:mn>4</mml:mn><mml:mo>∨</mml:mo></mml:msubsup></mml:math> 2008 Masahiko Ito
Asako Tsubouchi
+ Summation theorems for multidimensional basic hypergeometric series by determinant evaluations 2000 Michael J. Schlosser
+ PDF Chat Some Remarks on Very-Well-Poised<sub>8</sub>φ<sub>7</sub>Series 2012 Jasper V. Stokman
+ A Generalization of the Macdonald–You Formula 1998 Piotr Pragacz
+ PDF Chat On Certain Multiple Bailey, Rogers and Dougall Type Summation Formulas 1997 J. F. van Diejen
+ Infinite series identities derived from the very well-poised $$\Omega $$-sum 2020 Wenchang Chu
+ $p$-adic hypergeometric function related with $p$-adic multiple polylogarithms 2022 Hidekazu Furusho
+ A nonterminating 8φ7 summation for the root system Cr 2003 Michael J. Schlosser
+ Bailey's very well-poised <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:mmultiscripts><mml:mi>ψ</mml:mi><mml:mn>6</mml:mn><mml:none /><mml:mprescripts /><mml:mn>6</mml:mn><mml:none /></mml:mmultiscripts></mml:math>-series identity 2005 Wenchang Chu
+ A Summation Theorem for Hypergeometric Series Very-Well-Poised on $G_2 $ 1990 Robert A. Gustafson
+ An analogue of the Gauss summation formula for hypergeometric functions related to root systems 1993 Eric Opdam
+ PDF Chat Quadratic Transformation Formulas for Basic Hypergeometric Series 1993 Mizan Rahman
Arun Kumar Verma
+ PDF Chat Hypergeometric and Basic Hypergeometric Series and Integrals Associated with Root Systems 2020 Michael J. Schlosser
+ A hyper-Kloosterman sum identity 1998 Yangbo Ye
+ A q-analog of a general rational sum identity 2012 Toufik Mansour
Mark Shattuck
Chunwei Song
+ Infinitely Many Generalizations of Abel’s Partial Summation Identity 1970 Kenneth B. Stolarsky

Works That Cite This (4)

Action Title Year Authors
+ Basic bilateral very well-poised series and Shukla's <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:mmultiscripts><mml:mi>ψ</mml:mi><mml:mn>8</mml:mn><mml:none /><mml:mprescripts /><mml:mn>8</mml:mn><mml:none /></mml:mmultiscripts></mml:math>-summation formula 2006 Wenchang Chu
Xiaoxia Wang
+ PDF Chat Hypergeometric and Basic Hypergeometric Series and Integrals Associated with Root Systems 2020 Michael J. Schlosser
+ PDF Chat Reduction Formulas for Karlsson–Minton-Type Hypergeometric Functions 2003 Hjalmar Rosengren
+ Reduction formulae for Karlsson-Minton type hypergeometric functions 2002 Hjalmar Rosengren

Works Cited by This (15)

Action Title Year Authors
+ q-hypergeometric functions and applications 1984 Harold Exton
+ PDF Chat The very well poised ₆𝜓₆ 1979 Richard Askey
Mourad E. H. Ismail
+ Multilateral transformations of q-series with quotients of parameters that are nonnegative integer powers of q 2001 Michael J. Schlosser
+ An Elementary Approach to the Macdonald Identities 1989 Dennis Stanton
+ SERIES OF HYPERGEOMETRIC TYPE WHICH ARE INFINITE IN BOTH DIRECTIONS 1936 W. N. Bailey
+ Basic Hypergeometric Series 2004 George Gasper
Mizan Rahman
+ Multilateral Summation Theorems for Ordinary and Basic Hypergeometric Series in $U(n)$. 1987 Robert A. Gustafson
+ Generalized Bibasic Hypergeometric Series and TheirU(n) Extensions 1997 Gaurav Bhatnagar
Stephen C. Milne
+ Basic hypergeometric series very well-poised in U(n) 1987 Stephen C. Milne
+ A q-analog of the Gauss summation theorem for hypergeometric series in U(n) 1988 Stephen C. Milne