A q-analogy of a nonterminating 7F6-series summation

CHEN Ting; WANG Chen-ying

doi:10.3969/j.issn.1000-5641.2019.03.007

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May 2019

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CHEN Ting, WANG Chen-ying. A q-analogy of a nonterminating 7F6-series summation[J]. Journal of East China Normal University (Natural Sciences), 2019, (3): 55-62. doi: 10.3969/j.issn.1000-5641.2019.03.007

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CHEN Ting, WANG Chen-ying. A q-analogy of a nonterminating ₇F₆-series summation[J]. Journal of East China Normal University (Natural Sciences), 2019, (3): 55-62. doi: 10.3969/j.issn.1000-5641.2019.03.007

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A q-analogy of a nonterminating ₇F₆-series summation

doi: 10.3969/j.issn.1000-5641.2019.03.007

CHEN Ting,
WANG Chen-ying^,

School of Mathematics & Statistics, Nanjing University of Information Science & Technology, Nanjing 210044, China

Received Date: 2018-07-21
Publish Date: 2019-05-25

Abstract

Abstract

The modified Abel lemma on summation by parts with a "remainder term" was employed to establish a nonterminating basic hypergeometric series transformation which can be seen as a q-analogy of a known ₇F₆-series summation formula.
- basic hypergeometric series,
- generalized hypergeometric series,
- cubic hypergeometric series,
- the Abel lemma on summation by parts

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References(13)

References

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