ACTA MATHEMATICA
UNIVERSITATIS COMENIANAE




Vol. LXXVIII, 2 (2009)
p. 303 - 310

Certain classes of p-valent functions associated with Wright's generalized hypergeometric functions

G. Murugusundaramoorthy

Received: August 26, 2008;   Revised: January 3, 2009;   Accepted: February 6, 2009



Abstract.   The Wright's generalized hypergeometric function is used here to introduce a new class of p-valent functions WTp(l, a, b) defined in the open unit disc and investigate its various characteristics. Further we obtained distortion bounds, extreme points and radii of close-to-convexity, starlikeness and convexity for functions belonging to the class WTp(l, a, b).

Keywords:  Analytic, p-valent; starlikeness; convexity; Hadamard product (convolution).  

AMS Subject classification: Primary:  30C45  


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Acta Mathematica Universitatis Comenianae
ISSN 0862-9544   (Printed edition)

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