Wiman-Valiron theory for entire functions of finite lower growth

P. C. Fenton

Type: Article

Publication Date: 1979-01-01

Citations: 6

DOI: https://doi.org/10.1090/s0002-9947-1979-0534119-5

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.

Locations

Transactions of the American Mathematical Society - View - PDF

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Works That Cite This (6)

Action	Title	Year	Authors
+	Wiman-Valiron theory in several variables	2013	P. C. Fenton
+	Entire functions with real Taylor coefficients	1986	M. M. Sheremeta
+	Polynomial approximation of entire functions of two variables	2000	P. C. Fenton
+	A probabilistic approach to the wiman—valiron theory for functions of several complex entire	1989	Alan Schumitzky
+	On meromorphic functions with finite logarithmic order	2005	Peter Tien-Yu Chern
+ PDF Chat	A note on the Wiman–Valiron method	1994	P. C. Fenton

Works Cited by This (6)

Action	Title	Year	Authors
+ PDF Chat	The Local Growth of Power Series: A Survey of the Wiman-Valiron Method	1974	W. K. Hayman
+	On the Determination of An Integral Function From Its Taylor Series	1955	J. Clunie
+ PDF Chat	On the Borel exceptional values of lacunary integral functions	1961	T. Kővári
+	On theorems of G. Pólya and P. Turan	1958	T. Kővári
+	The Determination of An Integral Function of Finite Order By Its Taylor Series	1953	J. Clunie
+	Some Results of Wiman-Valiron Type for Integral Functions of Finite Lower Order	1976	P. C. Fenton