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The Expansion of a Holomorphic Function in a Series of Lamé Products

✍ Scribed by H. Volkmer

Publisher
Elsevier Science
Year
1993
Tongue
English
Weight
307 KB
Volume
75
Category
Article
ISSN
0021-9045

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✦ Synopsis

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 Lamé polynomials. The result is based on a more general expansion theorem for holomorphic functions defined on a two-dimensional complex manifold which has been given in an earlier paper of the author. 1993 Academic Press, Inc.

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