You are here

Fractional Calculus of a Class of Univalent Functions with Negative Coefficients Defined by Hadamard Product with Rafid -Operator

Journal Name:

Publication Year:

AMS Codes:

Abstract (2. Language): 
In our paper, we study a class WR (λ,β,α,μ,θ), which consists of analytic and univalent functions with negative coefficients in the open unit disk U = {z ∈ C : |z| < 1} defined by Hadamard product (or convolution) with Rafid - Operator, we obtain coefficient bounds and extreme points for this class. Also distortion theorem using fractional calculus techniques and some results for this class are obtained.
162-173

REFERENCES

References: 

[1] E. S. Aqlan, Some Problems Connected with Geometric Function Theory, Ph.D. Thesis,
Pune University, Pune (unpublished), (2004).
[2] S. Owa, On the distortion theorems, Kyungpook Math. J., 18: 53-59, 1978.
[3] H. M. Srivastava and R. G. Buschman, Convolution integral equation with special function
kernels, John Wiley and Sons, New York, London, Sydney and Toronto, 1977.
[4] H. M. Srivastava and S. Owa, An application of the fractional derivative, Math. Japon,
29:384-389, 1984.
[5] H. M. Srivastava and S. Owa, (Editors), Univalent Functions, Fractional Calculus and
Their Applications, Halsted press (Ellis Harwood Limited, Chichester), John Wiley and
Sons, New York, Chichester, Brisbane and Toronto, 1989.

Thank you for copying data from http://www.arastirmax.com