Coefficient bounds for some subclasses of p-valently starlike functions
C. Selvaraj ; O. S. Babu ; G. Murugusundaramoorthy
Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica, Tome 67 (2013), / Harvested from The Polish Digital Mathematics Library
Access to full text
Full (PDF)

For functions of the form f(z)=zp+∑n=1∞ap+nzp+n we obtain sharp bounds for some coefficients functionals in certain subclasses of starlike functions. Certain applications of our main results are also given. In particular, Fekete-Szego-like inequality for classes of functions defined through extended fractional differintegrals are obtained.

Publié le : 2013-01-01
EUDML-ID : urn:eudml:doc:289727 
@article{bwmeta1.element.ojs-doi-10_17951_a_2013_67_2_65-78,
     author = {C. Selvaraj and O. S. Babu and G. Murugusundaramoorthy},
     title = {Coefficient bounds for some subclasses of p-valently starlike functions},
     journal = {Annales Universitatis Mariae Curie-Sk\l odowska, sectio A -- Mathematica},
     volume = {67},
     year = {2013},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.ojs-doi-10_17951_a_2013_67_2_65-78}
}

C. Selvaraj; O. S. Babu; G. Murugusundaramoorthy. Coefficient bounds for some subclasses of p-valently starlike functions. Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica, Tome 67 (2013) . http://gdmltest.u-ga.fr/item/bwmeta1.element.ojs-doi-10_17951_a_2013_67_2_65-78/

Ali, R. M., Ravichandran, V., Seenivasagan, N., Coefficient bounds for p-valent functions, Appl. Math. Comput. 187 (2007), 35–46.

Janowski, W., Some extremal problems for certain families of analytic functions, Bull. Acad. Polon. Sci. Ser. Sci. Math. Astronom. Phys. 21 (1973), 17–25.

Keogh, F. R., Merkes, E. P., A coefficient inequality for certain classes of analytic functions, Proc. Amer. Math. Soc. 20 (1969), 8–12.

Ma, W. C., Minda, D., A unified treatment of some special classes of univalent functions, Proceedings of the Conference on Complex Analysis (Tianjin, 1992), Int. Press, Cambridge, MA, 1994, 157–169.

Owa, S., On the distortion theorem. I, Kyungpook Math. J. 18 (1) (1978), 53–59.

Owa, S., Srivastava, H. M., Univalent and starlike generalized hypergeometric functions, Canad. J. Math. 39 (5) (1987), 1057–1077.

Patel, J., Mishra, A., On certain subclasses of multivalent functions associated with an extended differintegral operator, J. Math. Anal. Appl. 332 (2007), 109–122.

Prokhorov, D. V., Szynal, J., Inverse coefficients for (α,β)-convex functions, Ann. Univ. Mariae Curie-Skłodowska Sect. A 35 (1981), 125–143.

Selvaraj, C., Selvakumaran, K. A., Fekete–Szego problem for some subclass of analytic functions, Far East J. Math. Sci. (FJMS) 29 (3) (2008), 643–652.

Srivastava, H. M., Mishra, A. K., Das, M. K., The Fekete–Szego problem for a subclass of close-to-convex functions, Complex Variables Theory Appl. 44 (2) (2001), 145–163.

Srivastava, H. M., Owa, S., An application of the fractional derivative, Math. Japon. 29 (3) (1984), 383–389.

Srivastava, H. M., Owa, S., Univalent Functions, Fractional Calculus and their Applications, Halsted Press/John Wiley & Sons, Chichester–New York, 1989.