Representation of holomorphic functions by schlomilch's series

被引：0
|
作者：
Rusev, Peter [1 ]
机构：
[1] Bulgarian Acad Sci, Inst Math & Informat, BU-1113 Sofia, Bulgaria
来源：
FRACTIONAL CALCULUS AND APPLIED ANALYSIS | 2013年 / 16卷 / 02期
关键词：
Schlomilch's series; Bessel functions; representations of holomorphic functions; Erdelyi-Kober operators;
D O I：
10.2478/s13540-013-0026-7
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A necessary and sufficient condition is given for holomorphic functions to be represented by series of the kind Sigma(infinity)(n-0) a(n)J(0)(nz), z, a(n) is an element of C, (1) where J(0)(z) is the Bessel function of first kind with zero index. To derive the result, we use an Erdelyi-Kober operator of fractional order.
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页码：431 / 435
页数：5
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