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Home  >  Transactions of NAMP VOL 14

2. CONVOLUTION PROPERTIES AND COEFFICIENT INEQUALITIES OF -PSEUDO ANALYTIC UNIVALENT FUNCTIONS by Gbolagade A.M. and Salaudeen K.A Volume 14, (January - March, 2021 Issue)
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CONVOLUTION PROPERTIES AND COEFFICIENT INEQUALITIES OF  -PSEUDO ANALYTIC UNIVALENT FUNCTIONS

Gbolagade A.M. and Salaudeen K.A.

DEPARTMENT OF MATHEMATICS, EMMANUEL ALAYANDE COLLEGE OF EDUCATION P.M.B. 1010, OYO, OYO STATE, NIGERIA

Abstract

In this paper, we isolate some new and interesting classes of  -pseudo starlike   and  -pseudo analytic   univalent functions in the unit disk  .  Properties such as coefficient inequalities, extremal functions and their convolution to each of  the new subclass were derived using techniques based on Holder’s inequalities.

Keywords: Analytic functions, univalent functions, convolution, starlike functions, convex functions.

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