On Uniformly Bazilevic and Related Functions | Zendy

Khalida Inayat Noor | Zendy

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On Uniformly Bazilevic and Related Functions

Author(s) -

Khalida Inayat Noor

Publication year - 2012

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2012/345261

Subject(s) - mathematics , convexity , class (philosophy) , analytic function , distortion (music) , unit disk , pure mathematics , mathematical analysis , amplifier , cmos , artificial intelligence , electronic engineering , computer science , financial economics , engineering , economics

We introduce a new class of functions analytic in the open unit disc, which contains the class of Bazilevic functions and also generalizes the concept of uniform convexity. We establish univalence criterion for the functions in this class and investigate rate of growth of coefficients, arc length problem, inclusion results, and distortion bounds. Some interesting results are derived as special cases

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