Derivatives of meromorphic functions of finite order

Authors:
Werner P. Kohs and Jack Williamson

Journal:
Trans. Amer. Math. Soc. **306** (1988), 765-772

MSC:
Primary 30D35

DOI:
https://doi.org/10.1090/S0002-9947-1988-0933316-X

MathSciNet review:
933316

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Abstract | References | Similar Articles | Additional Information

Abstract: Let be a nonentire, meromorphic function of finite order with only real zeros and real poles such that has no zeros. We classify all such real and all such strictly nonreal whose poles are of bounded multiplicities. We also give examples of such which are strictly nonreal and whose poles are of unbounded multiplicities.

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Additional Information

DOI:
https://doi.org/10.1090/S0002-9947-1988-0933316-X

Keywords:
Meromorphic functions,
derivative,
zeros

Article copyright:
© Copyright 1988
American Mathematical Society