Representation of holomorphic functions by schlömilch’s series
Tóm tắt
A necessary and sufficient condition is given for holomorphic functions to be represented by series of the kind
$\sum\limits_{n = 0}^\infty {a_n J_0 (nz),z,a_n \in \mathbb{C},} $
where J
0(z) is the Bessel function of first kind with zero index. To derive the result, we use an Erdélyi-Kober operator of fractional order.
Tài liệu tham khảo
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