On a Differential Subordination of a Certain Subclass of Univalent Functions
DOI:
https://doi.org/10.31642/JoKMC/2018/050302Keywords:
Univalent Function, Coefficient Estimates, Integral Means, Differential Subordination, Convolution.Abstract
In this paper, we introduce and discuss a certain subclass A(α,β) of univalent functions in the open unit disc, we obtain some properties like coefficient estimates and results of integral means by using differential subordination.Downloads
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M. Darus, Some Subclasses of Analytic Function, Jour. of Math. And Comp. Sci, (Math. Ser.) 16(3), (2003), 121- .
P. L. Duren, Univalent Functions, in: Grundelehren der Mathematischen Wissenachften Band 254, Springer-Verlarg, New York, Berlin, Heidleberg, Tokyo, (1983).
A. W. Goodman, Univalent Functions, Vol. III, Polygonl publishing House, Washington, New Jersey, (1983).
V. P. Gupta and P. K. Jain, Certain Classes of Univalent Function, Math. Soc, 14(1976), 409- DOI: https://doi.org/10.1017/S0004972700025326
L. E. Littlewood, On Inequalities in the Theory of Functions, Proc, London. Math. Soc. 23(1925). 481- DOI: https://doi.org/10.1112/plms/s2-23.1.481
S. S. Miller and P. T. Mocanu, Differential subordinations, Theory and applications series on monographs and textbook in pure and applied Mthematics, No.225, Marcel Dekker Incorporated, New York AND Basel ,(2000). DOI: https://doi.org/10.1201/9781482289817
S. S. Miller and P. T. MocAnu, subordinats of Differential Superordinations, Complex Var. Theory Appl., 48(2003), No. 10, 815- DOI: https://doi.org/10.1080/02781070310001599322
S. Owa, On The Distortion Theorem, I, kyang pook, Math. -
A. Schild and H. Silverman, Convolutions Of Univalent Function With Negative Coefficient, Ann. Vanv.Mavi. Curie Sklodowska Sect. 29 (1975) 109- DOI: https://doi.org/10.1090/S0002-9939-1975-0369678-0
S. R. Sway, Inclusion Properties Of Certain Subclasses Of Analytic Functions, Int. Math. Fonum, 7(36)(2012) 1751-1760
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Copyright (c) 2018 Aqeel Ketab AL-khafaji, Waggas Galib Atshan, Salwa Salman Abed
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