Multiple Gamma Functions and Multiple $q$-Gamma Functions
Copyright policy ) Ueno, Kimio; Nishizawa, Michitomo;
Multiple Gamma Functions and Multiple $q$-Gamma Functions
We give an asymptotic expansion ( the higher Stirling formula ) and an infinite product representation ( the Weierstrass canonical product representation ) of the Vigneras multiple gamma functions by considering the classical limit of the multiple q -gamma functions.
- Waseda University Japan
\(q\)-gamma functions, \(q\)-beta functions and integrals, Gamma, beta and polygamma functions
\(q\)-gamma functions, \(q\)-beta functions and integrals, Gamma, beta and polygamma functions
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selected citations
Citations provided by BIP!
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).
Citations provided by BIP!popularityPopularity provided by BIP!
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
Popularity provided by BIP! 9
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Top 10%
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