ON A CLASS OF ANALYTIC FUNCTIONS INVOLVING RUSCHEWEYH DERIVATIVES

Title & Authors
ON A CLASS OF ANALYTIC FUNCTIONS INVOLVING RUSCHEWEYH DERIVATIVES
Yang, Dinggong; Liu, Jinlin;

Abstract
Let A(p, k) (p, k$\small{\in}$N) be the class of functions f(z) = $\small{z^{p}}$ + $\small{a_{p+k}}$ $\small{z^{p+k}}$+… analytic in the unit disk. We introduce a subclass H(p, k, λ, $\small{\delta}$, A, B) of A(p, k) by using the Ruscheweyh derivative. The object of the present paper is to show some properties of functions in the class H(p, k, λ, $\small{\delta}$, A, B). B).
Keywords
analytic function;Ruscheweyh derivative;convolution;subordination;partial sums;
Language
English
Cited by
1.
SUBORDINATION RESULTS FOR CERTAIN CLASSES OF MULTIVALENTLY ANALYTIC FUNCTIONS WITH A CONVOLUTION STRUCTURE,;;

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Some results on certain classes of multivalently analytic functions based on differential subordination involving a convolution structure, Mathematica Slovaca, 2010, 60, 4
3.
Properties of certain analytic multivalent functions defined by a linear operator, Computers & Mathematics with Applications, 2009, 58, 6, 1169
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