JOURNAL BROWSE
Search
Advanced SearchSearch Tips
Univalent Holomorphic Functions with Negative and Fixed Finitely Many Coefficients in terms of Generalized Fractional Derivative
facebook(new window)  Pirnt(new window) E-mail(new window) Excel Download
  • Journal title : Kyungpook mathematical journal
  • Volume 50, Issue 4,  2010, pp.499-507
  • Publisher : Department of Mathematics, Kyungpook National University
  • DOI : 10.5666/KMJ.2010.50.4.499
 Title & Authors
Univalent Holomorphic Functions with Negative and Fixed Finitely Many Coefficients in terms of Generalized Fractional Derivative
Ebadian, Ali; Aghalary, Rasoul; Najafzadeh, Shahram;
  PDF(new window)
 Abstract
A new class of univalent holomorphic functions with fixed finitely many coefficients based on Generalized fractional derivative are introduced. Also some important properties of this class such as coefficient bounds, convex combination, extreme points, Radii of starlikeness and convexity are investigated.
 Keywords
Univalent;Fractional derivative;Coefficient estimate;Convex set;Extreme point;Radii of starlikeness and Convexity;
 Language
English
 Cited by
 References
1.
P. K. Beverji, L. Debnath and G. M. Shenan, Application of fractional derivative operators to the mapping properties of analytic functions, Fractional calculus and applied analysis, 5(2)(2002), 169-180.

2.
M. Darus and S. B. Joshi, On a subclass of analytic functions involving operators of farctional calculus, J. Rajastan Acad. Phy. Sci., 4(2)(2005), 73-84.

3.
A. Ebadian, S. Shams and Sh. Najafzadeh, Certain inequalities for p-valent meromorphic functions with alternating coefficients based on integral operator, AJMAA, 5(1)(2008), 1-5.

4.
V. P. Gupta, P. K. Jain, Certain classes of univalent functions with negative coefficients II, Bull. Austral. Math. Soc., 15(1976), 467-473. crossref(new window)

5.
Y. C. Kim, Y. S. Park and H. M. srivastava, A class of inclusion theorems associated with some functional integral operators, Proc. Acad., 67(9)(1991), Ser.A. crossref(new window)

6.
Y. C. Kim and J. H. Choi, Integral means of the fractional derivative of univalent functions with negative coefficients, Mathematica Japonica, 51(2000), 453-457.

7.
S. Owa, On the distortion theorems. I, Kyungpook Math. J., 18(1978), 53-59.

8.
S. Owa and M. K. Aouf, On subclasses of univalent functions with negative coefficients, Pure Appl. Math. Sci. 29(1-2)(1989), 131-139.

9.
H. Silverman, Univalent functions with negative coefficients, Proc. Amer. Math. Soc., 51(1975), 109-116. crossref(new window)

10.
H. M. Srivastava, M. Saigo and S. Owa, A class of distortion theorems involving certain operators of fractional calculus, J. Math. Appl., 131, (1988), 412-420.

11.
H. M. Srivastava and S. Owa (Editors), Univalent functions, Fractional Calculus, and their Applications, Halsted Press (Elliss Horwood Limited, Chichester), John Wiley and Sons, New York, Chichester, Brisbane, and Toronto, 1989.