Arc Length Inequality for a Certain Class of Analytic Functions Related to Conic Regions | Zendy

Wasim Ul-Haq | Zendy; Muhammad Arif | Zendy; Asfandyar Khan | Zendy

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Arc Length Inequality for a Certain Class of Analytic Functions Related to Conic Regions

Author(s) -

Wasim Ul-Haq,

Muhammad Arif,

Asfandyar Khan

Publication year - 2013

Publication title -

journal of complex analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.167

H-Index - 7

eISSN - 2314-4963

pISSN - 2314-4971

DOI - 10.1155/2013/407596

Subject(s) - conic section , convexity , mathematics , analytic function , subclass , arc (geometry) , class (philosophy) , inequality , arc length , function (biology) , pure mathematics , mathematical analysis , geometry , computer science , economics , antibody , artificial intelligence , evolutionary biology , financial economics , immunology , biology

In our present investigation, weintroduce a subclass of analytic function associated with conic regionswhich is a form of generalized close-to-convexity. The arc-length inequalityfor a class of analytic function is well known. We derive this inequalityfor the newly defined class and also study some of its interestingconsequences

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