Uniformly Alpha-Quasi-Convex Functions Defined by Janowski Functions

Abstract

In this work, we aim to introduce and study a new subclass of analytic functions related to the oval and petal type domain. This includes various interesting properties such as integral representation, sufficiency criteria, inclusion results, and the convolution properties for newly introduced class.

Some Coefficient Inequalities of q-Starlike Functions Associated with Conic Domain Defined by q-Derivative

“…where ( ) = ( − √ )/(1 − √ ), ∈ (0,1), ∈ , is chosen such that = cosh( ( )/4 ( )), ( ) is the Legendre's complete elliptic integral of the first kind, and ( ) is complementary integral of ( ); for more detail, see [21][22][23][24][25]. If̃( ) = 1 + + ⋅ ⋅ ⋅ , then it is shown in [26] that from (8), one can have…”

Some Reciprocal Classes of Close-to-Convex and Quasi-Convex Analytic Functions

“…For a more detailed and recent study on uniformly convex and starlike functions, we refer the reader to [8][9][10][11][12].…”