- Communications Faculty of Sciences University Ankara Series A1 Mathematics and Statistics
- Vol: 47
- Fourier expansions of entire functions
Fourier expansions of entire functions
Authors : D. Kumar
Pages : 0-0
Doi:10.1501/Commua1_0000000400
View : 7 | Download : 9
Publication Date : 1998-01-01
Article Type : Research
Abstract :Let E denote a compact lordan region in the complcx plane with positive transfinite diameter and H(E) the Hilbert space of entire functions. This paper is deals with relations connecting the (p, q)-growth of an entire function f e H(E) with its Fourier coefficients with respect to an orthonormal sequence of polynomials in H(E). The (p, q)-order and generalized (p, q)-type have been characterized in terms of Fourier coefficients for f e H(E).Keywords : Fourier expansion, entire functions, Statistics