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Fekete-Szegö problems for certain class of analytic functions associated with quasi-subordination

Sahoo P.

Journal of Mathematics and Applications

2017

Vol. 40

161--170

In this paper, we determine the coefficient estimates and the Fekete-Szegö inequalities for [wzór], the class of analytic and univalent functions associated with quasi-subordination.

On coefficients' estimates of concave univalent functions

Zaprawa P.

Journal of Mathematics and Applications

2010

Vol. 32

109-116

In the class Co(p), p ∈ (0,1) of univalent concave functions with a pole at p we find some estimates on the third coefficient as well as the residuum of a function, while its second coefficient is fixed.

Subordinations and superordinations using the Dziok-Srivastava linear operator

Oros G. I., Oros O.

Journal of Mathematics and Applications

2009

Vol. 31

99-106

By using the properties of the Dziok-Srivastava linear operator we obtain differential subordinations and superordinations by using functions from class A. A sandwich-type result is also given. Theorem 1 from the paper gives sufficient conditions such that a function f ∈ A to be starlike, convex and α-convex.

Subclasses of typically-real functions defined by Ruscheweyh derivative

Lecko A., Lecko M., Yaguchi T.

Demonstratio Mathematica

2008

Vol. 41, nr 4

823-832

For each lambda>- 1 let TR(lambda) be the class of all functions f analytic in D= {z is an element of C : \z\ < 1} of the form f (z) = [...] having real coefficients and satisfying the condition [...] where Llambda denote the Ruscheweyh derivative. Some basic properties of functions in are presented.

Certain sufficienty conditions on Fox-Wright function

Chaurasia V., Parihar H.

Demonstratio Mathematica

2008

Vol. 41, nr 4

813-822

The main object of this paper is to find certain conditions for the function [...] to be a member of certain subclasses of analytic functions. Our results provides generalization of some recent results due to Swaminathan [19] and Chaurasia and Srivastava [20].