Wiman-Valiron theory for entire functions of finite lower growth-Reference-Cited by-同舟云学术

Wiman-Valiron theory for entire functions of finite lower growth

Published:1979 Issue:0 Volume:252 Page:221-232
ISSN:0002-9947
Container-title:Transactions of the American Mathematical Society
language:en
Short-container-title:Trans. Amer. Math. Soc.

Author:

Fenton P. C.

Abstract

A general method of Wiman-Valiron type for dealing with entire functions of finite lower growth is presented and used to obtain the lower-order version of a result of W. K. Hayman on the real part of entire functions of small lower growth.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/tran/1979-252-00/S0002-9947-1979-0534119-5/S0002-9947-1979-0534119-5.pdf

Reference6 articles.

1. The determination of an integral function of finite order by its Taylor series;Clunie, J.;J. London Math. Soc.,1953

2. On the determination of an integral function from its Taylor series;Clunie, J.;J. London Math. Soc.,1955

3. Some results of Wiman-Valiron type for integral functions of finite lower order;Fenton, P. C.;Ann. of Math. (2),1976

4. The local growth of power series: a survey of the Wiman-Valiron method;Hayman, W. K.;Canad. Math. Bull.,1974

5. On theorems of G. Pólya and P. Turán;Kövari, T.;J. Analyse Math.,1958

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1. Polynomial approximation of entire functions of two variables;Complex Variables, Theory and Application: An International Journal;2000-01

2. A note on the Wiman–Valiron method;Proceedings of the Edinburgh Mathematical Society;1994-02

3. A probabilistic approach to the wiman—valiron theory for functions of several complex entire;Complex Variables, Theory and Application: An International Journal;1989-10

4. Entire functions with real Taylor coefficients;Ukrainian Mathematical Journal;1986