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Evaluations of series of the $q$-Watson, $q$-Dixon, and $q$-Whipple type

Discrete mathematics and theoretical computer science, 2017-06, Vol.19 no. 1 (Combinatorics) [Peer Reviewed Journal]

EISSN: 1365-8050 ;DOI: 10.23638/DMTCS-19-1-19

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  • Title:
    Evaluations of series of the $q$-Watson, $q$-Dixon, and $q$-Whipple type
  • Author: Chuanan Wei ; Xiaoxia Wang
  • Subjects: mathematics - classical analysis and odes
  • Is Part Of: Discrete mathematics and theoretical computer science, 2017-06, Vol.19 no. 1 (Combinatorics)
  • Description: Using $q$-series identities and series rearrangement, we establish several extensions of $q$-Watson formulas with two extra integer parameters. Then they and Sears' transformation formula are utilized to derive some generalizations of $q$-Dixon formulas and $q$-Whipple formulas with two extra integer parameters. As special cases of these results, many interesting evaluations of series of $q$-Watson,$q$-Dixon, and $q$-Whipple type are displayed.
  • Publisher: Discrete Mathematics & Theoretical Computer Science
  • Language: English
  • Identifier: EISSN: 1365-8050
    DOI: 10.23638/DMTCS-19-1-19
  • Source: Directory of Open Access Journals
    ProQuest Central
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