๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

On the double series expansion of holomorphic functions

โœ Scribed by Keiko Fujita; Mitsuo Morimoto


Book ID
108345072
Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
119 KB
Volume
272
Category
Article
ISSN
0022-247X

No coin nor oath required. For personal study only.


๐Ÿ“œ SIMILAR VOLUMES


The Expansion of a Holomorphic Function
โœ H. Volkmer ๐Ÿ“‚ Article ๐Ÿ“… 1993 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 307 KB

We show that functions of two complex variables which are symmetric and holomorphic on suitable domains can be expanded in locally uniform convergent series of products of Lamรฉ polynomials. The result is based on a more general expansion theorem for holomorphic functions defined on a two-dimensional

Representation of holomorphic functions
โœ Rusev, Peter ๐Ÿ“‚ Article ๐Ÿ“… 2013 ๐Ÿ› SP Versita ๐ŸŒ English โš– 131 KB

Abstract 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 Erdรฉlyi-K