Advances in Special Functions of Fractional Calculus: Special Functions in Fractional Calculus and Their Applications in Engineering

Some Sufficient Conditions for Uniform Convexity of Normalized 1F2 Function

Author(s): Deepak Bansal* and Shilpi Jain

Pp: 94-111 (18)

DOI: 10.2174/9789815079333123010008

* (Excluding Mailing and Handling)

Abstract

The object of this chapter is to find sufficient conditions under which z1F2(a, b, c; z) belongs to UCV (α,β) and Sp(α,β;). Here, 1F2(a, b, c; z) is a special case of generalized hypergeometric function for p = 1 and q = 2.


Keywords: Analytic function; Univalent, Starlike; Close-to-convex

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