Title of article
Inequalities for formal power series and entire functions
Author/Authors
Arcadii Z. Grinshpan، نويسنده ,
Issue Information
دوهفته نامه با شماره پیاپی سال 2008
Pages
13
From page
1418
To page
1430
Abstract
We present several integral and exponential inequalities for formal power series and for both arbitrary entire functions of exponential
type and generalized Borel transforms. They are obtained through certain limit procedures which involve the multiparameter
binomial inequalities, integral inequalities for continuous functions, and weighted norm inequalities for analytic functions. Some
applications to the confluent hypergeometric functions, Bessel functions, Laguerre polynomials, and trigonometric functions are
discussed. Also some generalizations are given.
© 2007 Elsevier Inc. All rights reserved
Keywords
Bessel functions , Integral operators , Confluent hypergeometric functions , Convolutions , Laguerre polynomials , Exponential inequalities , Trigonometric inequalities , Entire functions of exponential type , Borel-associatedfunctions , Integral inequalities , Hadamard product , Formal power series
Journal title
Journal of Mathematical Analysis and Applications
Serial Year
2008
Journal title
Journal of Mathematical Analysis and Applications
Record number
936586
Link To Document