SCALED ASYMPTOTICS FOR SOME q-SERIES
Copyright policy ) Zhang, Ruiming;
SCALED ASYMPTOTICS FOR SOME q-SERIES
In this work we investigate the asymptotics for Euler's $q$-Exponential $E_{q}(z)$, $q$-Gamma function $Γ_{q}(z)$, Ramanujan's function $A_{q}(z)$, Jackson's $q$-Bessel function $J_ν^{(2)}$(z;q) of second kind, Stieltjes-Wigert orthogonal polynomials $S_{n}(x;q)$ and $q$-Laguerre polynomials $L_{n}^{(α)}(x;q)$ as $q$ approaching 1.
18pages
- Guangxi Normal University China (People's Republic of)
30E15, Mathematics - Classical Analysis and ODEs, Mathematics - Complex Variables, Classical Analysis and ODEs (math.CA), FOS: Mathematics, 30E15;33D45, 33D45, Complex Variables (math.CV)
30E15, Mathematics - Classical Analysis and ODEs, Mathematics - Complex Variables, Classical Analysis and ODEs (math.CA), FOS: Mathematics, 30E15;33D45, 33D45, Complex Variables (math.CV)
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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).
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This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
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