Sums of zeros for certain special functions

被引：5
作者：
Zhang, Ruiming [1 ]
机构：
[1] Guangxi Normal Univ, Sch Math Sci, Guilin City 541004, Guangxi, Peoples R China
来源：
INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS | 2010年 / 21卷 / 05期
关键词：
q-Airy function (Ramanujan's entire function); q-Bessel function; Bessel function; Airy function; Riemann zeta function; Dirichlet L-series;
D O I：
10.1080/10652460903286231
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this work we evaluate certain multiple sums of the zeros for the Bessel function J(v)(z), the Airy function A(z), the Riemann zeta function zeta(z), L-series L(s, chi) with real primitive characters, Ramanujan's entire function (a.k.a.q-Airy function) A(q)(z), and the q-Bessel function J(v)((2)) (z; q).
引用
收藏
页码：351 / 365
页数：15
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