دورية أكاديمية
On the Poincaré expansion of the Hurwitz zeta function.
العنوان: | On the Poincaré expansion of the Hurwitz zeta function. |
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المؤلفون: | Fejzullahu, Bujar1 (AUTHOR) bujar.fejzullahu@uni-pr.edu |
المصدر: | Lithuanian Mathematical Journal. Oct2021, Vol. 61 Issue 4, p460-470. 11p. |
مصطلحات موضوعية: | *ZETA functions, *INTEGRAL representations, *GAMMA functions |
مصطلحات جغرافية: | PARIS (France) |
مستخلص: | In this paper, we extend the result of Paris [R.B. Paris, The Stokes phenomenon associated with the Hurwitz zeta function ζ(s, a), Proc. R. Soc. Lond. Ser. A Math. Phys. Eng. Sci., 461(2053):297–304, 2005] on the exponentially improved expansion of the Hurwitz zeta function ζ(s, z), the expansion of which can be reduced to the large-z Poincaré asymptotics of ζ(s, z). Furthermore, we deduce some new series and integral representations of the Hurwitz zeta function ζ(s, z). [ABSTRACT FROM AUTHOR] |
قاعدة البيانات: | Academic Search Index |
تدمد: | 03631672 |
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DOI: | 10.1007/s10986-021-09527-8 |