Buradasınız

Coefficient Estimates for Certain Subclasses of Analytic Functions of Complex Order

Journal Name:

Publication Year:

Abstract (Original Language): 
In this paper, we introduce and investigate two interesting subclasses Hg (n, b,, ,) and Hg (n, b,, ,; u) of analytic functions of complex order in the open unit disk U, which are defined by means of the familiar multiplier operator. Formfunctions belonging to the each of these subclasses, we obtain several results involving (for example) coefficient bounds. Then results presented here would generalize many known results.
460
468

JEL Codes:

REFERENCES

References: 

[1] O Altinta¸s, H Irmak, S Owa, and H M Srivastava. Coefficients bounds for some families
of starlike and convex functions of complex order. Applied Mathematics Letters. 20: 1218-
1222, 2007.
[2] O Altinta¸s, H Irmak, and H M Srivastava. Fractional calculus and certain starlike functions
with negative coefficients. Computers & Mathematics with Applications. 30(2): 9-
15, 1995.
[3] O Altinta¸s and Ö Özkan. Starlike, convex and close-to-convex functions of complex order.
Hacettepe Bulletin of Natural Sciences and Engineering. Series B. 28: 37-46, 1991.
[4] O Altinta¸s and Ö Özkan. On the classes of starlike and convex functions of complex.
Hacettepe Bulletin of Natural Sciences and Engineering. Series B. 30: 63-68, 2001.
[5] O Altinta¸s, Ö Özkan, and H M Srivastava. Neighborhoods of a class of analytic functions
with negative coefficients. Applied Mathematics Letters. 13(3): 63-67, 1995.
[6] O Altinta¸s, Ö Özkan, and H M Srivastava. Majorization by starlike functions of complex
order. Complex Variables, Theory and Application. 46: 207-218, 2001.
[7] O Altinta¸s, Ö Özkan, and H M Srivastava. Neighborhoods of a certain family of multivalent
functions with negative coefficient. Computers & Mathematics with Applications.
47:1667-1672, 2004.
[8] O Altinta¸s and H M Srivastava. Some majorization problems associated with p-valently
starlike and convex functions of complex order. East Asian Mathematical Journal. 17:
175-183, 2001.
[9] Q Deng. Certain subclass of analytic functions with complex order. Applied Mathematics
and Computation. 208: 359-362, 2009.
[10] M A Nasr and M K Aouf. Radius of convexity for the class of starlike functions of complex
order. Bulletin of the Faculty of science. A. Physics and Mathematics. 12: 153-159, 1983.
[11] M S Robertson. On the theory of univalent functions. Annals of Mathematics (Series 1).
37: 374-408, 1936.
[12] W Rogosinski. On the coefficients of subordinate functions. Proceedings of the London
Mathematical Society (Series 1). 48: 48-82, 1943.
REFERENCES 468
[13] G . S˘al˘agean. Subclass of univalent functions. Complex Analysis. 37: 374-408, 1936.
[14] H M Srivastava, S S Eker, and B Seker. A certain convolution approach for subclasses of
analytic functions with negative coefficients. Integral Transforms and Special Functions.
20: 687-699, 2009.
[15] H M Srivastava, D-G Yang, and N-E Xu. Subordinations for multivalent analytic functions
associated with the Dziok-Srivastava operator. Integral Transforms and Special Functions.
20: 581-606, 2009.
[16] F M Al-Oboudi. On univalent functions defined by a generalized S˘al˘agean operator.
International Journal of Mathematics and Mathematical Sciences. 27: 1429-1436, 2004.
[17] E Deniz and H Orhan. The Fekete-Szegö problem for a generalized subclass of analytic
functions. Kyungpook Mathematical Journal. 50: 37-47, 2010.

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