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

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  • Wasim Ul-Haq
  • Muhammad Arif
  • Asfandyar Khan

Abstract

In our present investigation, we introduce a subclass of analytic function associated with conic regions which is a form of generalized close-to-convexity. The arc-length inequality for a class of analytic function is well known. We derive this inequality for the newly defined class and also study some of its interesting consequences.

Suggested Citation

  • Wasim Ul-Haq & Muhammad Arif & Asfandyar Khan, 2013. "Arc Length Inequality for a Certain Class of Analytic Functions Related to Conic Regions," Journal of Complex Analysis, Hindawi, vol. 2013, pages 1-4, August.
    • Handle: RePEc:hin:jnljca:407596
    DOI: 10.1155/2013/407596
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