New Curious Bilateral q-Series Identities
Copyright policy )New Curious Bilateral q-Series Identities
By applying a classical method, already employed by Cauchy, to a terminating curious summation by one of the authors, a new curious bilateral q-series identity is derived. We also apply the same method to a quadratic summation by Gessel and Stanton, and to a cubic summation by Gasper, respectively, to derive a bilateral quadratic and a bilateral cubic summation formula.
- University of Vienna Austria
- Claude Bernard University Lyon 1 France
- Claude Bernard University Lyon 1 France
- Camille Jordan Institute France
Basic hypergeometric functions in one variable, \({}_r\phi_s\), bilateral basic hypergeometric series, curious summations, bilateral basic hypergeometric series; q-series; curious summations, QA1-939, \(q\)-series, 101002 Analysis, q-series, Mathematics
Basic hypergeometric functions in one variable, \({}_r\phi_s\), bilateral basic hypergeometric series, curious summations, bilateral basic hypergeometric series; q-series; curious summations, QA1-939, \(q\)-series, 101002 Analysis, q-series, Mathematics
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).1 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Average influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Average impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Average
Citations provided by BIP!Popularity provided by BIP!