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Univalence of integral operators involving Bessel functions

✍ Scribed by Árpád Baricz; Basem A. Frasin

Publisher: Elsevier Science
Year: 2010
Tongue: English
Weight: 385 KB
Volume: 23
Category: Article
ISSN: 0893-9659
DOI: 10.1016/j.aml.2009.10.013

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✦ Synopsis

In this note our aim is to deduce some sufficient conditions for integral operators involving Bessel functions of the first kind to be univalent in the open unit disk. The key tools in our proofs are the generalized versions of the well-known Ahlfors' and Becker's univalence criteria and some inequalities for the normalized Bessel functions of the first kind.

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