Title of article
Weighted norm inequalities for analytic functions
Author/Authors
Arcadii Z. Grinshpan، نويسنده ,
Issue Information
دوهفته نامه با شماره پیاپی سال 2007
Pages
10
From page
1095
To page
1104
Abstract
We present a weighted norm inequality involving convolutions of arbitrary analytic functions and certain
confluent hypergeometric functions. This result implies a family of weighted norm inequalities both for
entire functions of exponential type and for (generalized) hypergeometric series. The approach is based on
author’s general inequality for continuous functions and some hypergeometric transformations.
© 2006 Elsevier Inc. All rights reserved
Keywords
Beta function , Gamma function , Integral inequalities , Convolutions , Hadamard product , Entire functions of exponential type , Borel-associated functions , Hypergeometric series , Hypergeometrictransformations , Confluent hypergeometric functions , Integral operators
Journal title
Journal of Mathematical Analysis and Applications
Serial Year
2007
Journal title
Journal of Mathematical Analysis and Applications
Record number
935397
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