Abstract
The main purpose of this paper is to determine the conditions of starlikeness for certain class of multivalent analytic functions. Relevant connections of the results presented here with those obtained in earlier works are pointed out.
Highlights
Introduction and Main ResultLet Ap denote the class of functions of the form ∞f (z) = zp + ∑ anzn (p ∈ N := {1, 2, . . .}), (1)n=p+1 which are analytic in the open unit disk U := {z : z ∈C f and |z| < 1}
The main purpose of this paper is to determine the conditions of starlikeness for certain class of multivalent analytic functions
Relevant connections of the results presented here with those obtained in earlier works are pointed out
Summary
The main purpose of this paper is to determine the conditions of starlikeness for certain class of multivalent analytic functions. Let Ap denote the class of functions of the form A function p-valent starlike functions of order in U, if it satisfies the following inequality: R ( zf (z) ) > (0 ≦ < p; z ∈ U) . In [1], Chichra introduced the class R of analytic functions f ∈ A which satisfy the condition
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