On the Existence of Holomorphic Functions Having Prescribed Asymptotic Expansions | Zendy

M. Valdivia | Zendy; Jean Schmets | Zendy

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On the Existence of Holomorphic Functions Having Prescribed Asymptotic Expansions

Author(s) -

M. Valdivia,

Jean Schmets

Publication year - 1994

Publication title -

zeitschrift für analysis und ihre anwendungen

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.567

H-Index - 35

eISSN - 1661-4534

pISSN - 0232-2064

DOI - 10.4171/zaa/511

Subject(s) - holomorphic function , mathematics , asymptotic expansion , mathematical analysis , pure mathematics

A generalization of some results of T. Carleman in [1] is developped. The practical form of it states that if the non-empty subset D of the boundary 8fl of a domain fl of 4 has no accumulation point and if the connected component in 8fl of every is € D has more than one point, then D is regularly asymptotic for 0, i.e. for every family {c,n : is € D, n E No) of complex numbers, there is a holomorphic function I on fl which at every is € D has E-O c,(z is)" as asymptotic expansion at is.

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