ON A SUB CLASS OF STARLIKE AND CLOSE-TO-CONVEX FUNCTIONS
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Abstract
In the present paper the classes K(α,β ,h) and C(α,β ,h)
are introduced. We obtained an inclusion relations for the classes.
Further we study coefficient estimates, integral operators on the
classes K(α,β ,h) . The results of Parvatham and Radha [2] and
Pascu and Podaru [3] follows as special case of these studies.
2000 AMS subject classification: 30 C 45
Key words: Univalent, Subordination, Coefficient estimates
are introduced. We obtained an inclusion relations for the classes.
Further we study coefficient estimates, integral operators on the
classes K(α,β ,h) . The results of Parvatham and Radha [2] and
Pascu and Podaru [3] follows as special case of these studies.
2000 AMS subject classification: 30 C 45
Key words: Univalent, Subordination, Coefficient estimates
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How to Cite
Reddy, P. T. (2014). ON A SUB CLASS OF STARLIKE AND CLOSE-TO-CONVEX FUNCTIONS. Journal of Global Research in Mathematical Archives(JGRMA), 1(11), 12–20. Retrieved from https://jgrma.com/index.php/jgrma/article/view/135
Section
Research Paper
References
P.Eenigenburg, S.S. Miller, P.T. Mocanu and M.O. Reade, On a Briot-Boquet differential subordination,. General Inequalities 3, Birkhauserverlag – Basel, (1983), 339-348.
R. Parvatham and S.Radha, On ï¡ - starlike and ï¡ - close-to-convex functions with respect n – symmetric points, Indian J. Pure Appl. Math. 16 (9) (1986), 1114-1122.
N.N. Pascu and V. Podaru, Lecture Notes in Mathematics No. 1013,Springer – Verlag (1981), 336-349.