A simple proof of a coincidence theorem of Rubinstein-Walsh and generalizations

TitleA simple proof of a coincidence theorem of Rubinstein-Walsh and generalizations
Publication TypeJournal Article
Year of Publication1997
AuthorsTodorov P
JournalAnnuaire de l’Université de Sofia “St. Kliment Ohridski”. Faculté de Mathématiques et Informatique
Volume89
IssueLivre 1 - Mathématiques et Mecanique
Pagination113-116
ISSN0205-0808
Keywordscoincidence theorem, meromorphic functions, rational functions, subordination
Abstract

We give a simple proof of the Rubinstein-Walsh coincidence theorem that the classes of functions (1) and (2) can be represented in forms (4) and (5), respectively. We prove also that the more general classes of functions (8) and (9) can be represented in forms (4) and (5), respectively.

1991/95 MSC

26C15, 30C45

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