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The Fekete–Szegö problem for subclasses of analytic functions defined by a differential operator related to conic domains

✍ Scribed by Halit Orhan; Erhan Deniz; Dorina Raducanu

Publisher: Elsevier Science
Year: 2010
Tongue: English
Weight: 774 KB
Volume: 59
Category: Article
ISSN: 0898-1221
DOI: 10.1016/j.camwa.2009.07.049

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✦ Synopsis

product Linear multiplier fractional differential operator a b s t r a c t By using a linear multiplier fractional differential operator a new subclass of analytic functions generalized β-uniformly convex functions, denoted by β-SP n,α λ,µ (γ ), is introduced.

For this class the Fekete-Szegö problem is completely solved. Various known or new special cases of our results are also pointed out.

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Neighborhoods for certain subclasses of

Neighborhoods for certain subclasses of multivalently analytic functions defined by using a differential operator

✍ Osman Altıntaş; Hüseyin Irmak; H.M. Srivastava 📂 Article 📅 2008 🏛 Elsevier Science 🌐 English ⚖ 220 KB

In the present investigation, by making use of the familiar concept of neighborhoods of analytic and multivalent functions, we derive coefficient bounds and distortion inequalities, associated inclusion relations for the (n, δ)-neighborhoods of subclasses of analytic and multivalent functions with n