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).
Primary Language | English |
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Subjects | Mathematical Sciences |
Journal Section | Research Articles |
Authors | |
Publication Date | January 1, 1998 |
Submission Date | January 1, 1998 |
Published in Issue | Year 1998 Volume: 47 |
Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics.
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