EN
Fourier expansions of entire functions
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
References
- Ankara Üniversitesi – Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics Dergisi
Details
Primary Language
English
Subjects
Mathematical Sciences
Journal Section
Research Article
Authors
D. Kumar
This is me
Türkiye
Publication Date
January 1, 1998
Submission Date
January 1, 1998
Acceptance Date
-
Published in Issue
Year 1970 Volume: 47
APA
Kumar, D. (1998). Fourier expansions of entire functions. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, 47. https://doi.org/10.1501/Commua1_0000000400
AMA
1.Kumar D. Fourier expansions of entire functions. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 1998;47. doi:10.1501/Commua1_0000000400
Chicago
Kumar, D. 1998. “Fourier Expansions of Entire Functions”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 47 (January). https://doi.org/10.1501/Commua1_0000000400.
EndNote
Kumar D (January 1, 1998) Fourier expansions of entire functions. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 47
IEEE
[1]D. Kumar, “Fourier expansions of entire functions”, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat., vol. 47, Jan. 1998, doi: 10.1501/Commua1_0000000400.
ISNAD
Kumar, D. “Fourier Expansions of Entire Functions”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 47 (January 1, 1998). https://doi.org/10.1501/Commua1_0000000400.
JAMA
1.Kumar D. Fourier expansions of entire functions. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 1998;47. doi:10.1501/Commua1_0000000400.
MLA
Kumar, D. “Fourier Expansions of Entire Functions”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, vol. 47, Jan. 1998, doi:10.1501/Commua1_0000000400.
Vancouver
1.D. Kumar. Fourier expansions of entire functions. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 1998 Jan. 1;47. doi:10.1501/Commua1_0000000400
