✦ LIBER ✦

Some applications of differential subordination

✍ Scribed by H.M. Srivastava; A.A. Attiya

Publisher: Elsevier Science
Year: 2007
Tongue: English
Weight: 204 KB
Volume: 20
Category: Article
ISSN: 0893-9659
DOI: 10.1016/j.aml.2006.10.005

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✦ Synopsis

The authors introduce a two-parameter function G( p, λ; z) which is shown to play an important rôle in a unified presentation of many interesting subclasses of analytic and p-valent functions in the open unit disk U. Making use of the familiar principle of differential subordination, several properties and relationships involving the function G( p, λ; z) are derived. Some sufficient conditions for p-valent starlikeness are also obtained.

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