Sifat-Sifat Subkelas Fungsi Univalen Memuat Integral Operator

Fitri Aryani

Abstract


Kajian utama yang akan dilakukan pada artikel ini adalah tentang sifat-sifat yang termuat pada subkelas  yaitu fungsi starlike ,   yaitu fungsi convex serta yaitu fungsi close-to-convex yang kesemuanya menggunakan operator integral.


Keywords


fungsi close-to-convex, fungsi convex, fungsi starlike, fungsi univalen, operator integral.

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References


C. Pommerenke, Univalent functions: with a chapter on quadratic differentials by gerd jensen, Vandenhoeck & Ruprecht In Gottingen, 1973.

C. Selvaraj, and K.R. Karthikeyan, Some classes of analytic functions involving generalized integral operator, Int. Math. Forum. 2(63) (2007), 3143-3153.

H.M. Srivastava and S. Owa, Univalent functions, Fractional calculus, and their Applications, Halsted Press/John Wiley and Sons, Chichester. New York, 1989.

H.M. Srivastava and S. Owa, Current topics in analytic function theory, World Scientific. Singapore-New Jersey-London-Hongkong, 1992.

I.B. Jung, Y.C. Kim and H.M. Srivastava, The Hardy space of analytic functions associated with certain one-parameter families of integral operators, J. Math. Anal. Appl. 176(1) (1993), 138–147.

J.L. Li, Some properties of two integral operators, Soochow J. Math. 25(1) (1999), 91–96.

J.L. Li, Certain integral operator and strongly starlike functions, IJMMS. 30(9) (2002), 569-574.

M. Darus and R. Ibrahim, On Inclusion Properties of Generalized Integral Operator involving Noor Integral, Far East J. Math. Sci. 33(3) (2009), 309-321.

P. Eenigenburg, S. Miller, P. Mocanu and M. Reade, On a Briot – Bouqet differential subordination, General Inequalities, 3 (Oberwolfach 1981), 339-348, Internat. Schriftenreihe Numer. Math. 64, Birkhauser, Basel, 1983.

P.L. Duren, Coefficients of univalent functions, Bull. Amer. Math. Soc. 83(5) (1977), 891-910

P.L. Duren, Univalent fuctions, Springer-Verlag, New York Berlin Heidelberg Tokyo, 1983.

R.J. Libera, Some classes of regular univalent functions, Proc.Amer. Math. Soc. 16(1965), 755-758.

S.D. Bernardi, Convex and starlike univalent functions, Trans. Amer. Math. Soc. 135 (1969), 429-446.

S. Miller, and P. Mocanu, Differential subordination and univalent functions, Michigan. Math. J. 28 (1981), 157-177.

S. Owa, and H.M. Srivastava, Some applications of the generalized Libera integral operator, Proc. Japan Acad. Ser. A Math. Sci. 62 (1986), 125-128.

S. Owa, Properties of certain integral operators. Georgian. Math. J. 2(5) (1995), 535-545.




DOI: http://dx.doi.org/10.24014/sitekin.v9i2.592

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