Some criteria on Integral means for certain classes of functions with negative coefficients

• Autorzy: Latha S. , Raju D. S.
• Języki publikacji: EN

Abstrakty

EN

Let T be the class of functions f with negative coefficients which are analytic and univalent in the open disk U with f(0) = 0 and f'(0) = 1. For the classes T* (A, B) and C (A,B), -1 ≤ A < B ≤ 1 defined as subclasses of T, interesting results for integral means are discussed.

Słowa kluczowe

EN

univalent functions; integral means; extremal points

PL

funkcja jednolistna; punkt ekstremalny

• Wydawca: Oficyna Wydawnicza Politechniki Rzeszowskiej
• Czasopismo: Journal of Mathematics and Applications
• Rocznik: 2008
• Tom: Vol. 30
• Strony: 91--102
• Opis fizyczny: Bibliogr. 6 poz.

Twórcy

autor

Latha S.

autor

Raju D. S.

• Department of Mathematics and Computer Science Maharaja's College University of Mysore Mysore - 570005, INDIA

Bibliografia

• [1] P.L. Duren, Univalent functions,Springer - Verlag, Newyork (1983).
• [2] Littlewood, On inequalities in the theory of functions, Proc. London. Math.Soc. 23(1925), 481-519.
• [3] S.Owa, M. Pascu, D. Yagi AND J. Nishiwaki, Integral means for starlike and convex functions with negative coefficients, J. Inequal. Pure Appl. Math., Vol 6 Issue, Art 50, (2005).
• [4] K.S. Padmanabhan and G. Lakshma Reddy, On Analytic functions with reference to the Bemardi Integral Operator, Bull. Aust. Math. Soc. 25(1982), 387-396.
• [5] H. Silverman and A Schild, Convolutions of Univalent functions with negative coefficients, Ann. Univ. Mariae, Curie 29(1975) (78-82).
• [6] H. Silverman, Integral means for Univalent functions with negative coefficients, Houston J. Math.,23(1997) 169-174.