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Abstrakty
In this paper, certain subordination results on the convolution of finite number of analytic functions are derived. Our results include a sufficiency condition for convexity of the convolution of analytic functions fi satisfying [wzór].
Czasopismo
Rocznik
Tom
Strony
111--118
Opis fizyczny
Bibliogr. 7 poz.
Twórcy
autor
- Department of Mathematics University of Lucknow, Lucknow 226007
autor
- Department of Mathematics University of Lucknow, Lucknow 226007
Bibliografia
- [1] S. S. Miller, P. T. Mocanu, Differential Subordinations, Marcel Dekker, Inc., 2000.
- [2] St. Rusheweyh, Convolution in Geometric Function Theory, Les Presses de l’Univ. de Montreal, 1982.
- [3] St. Ruscheweyh, T. Sheil-Small, Hadamard product of schlicht functions and the Poyla-Schoenberg conjecture, Comm. Math. Helv., 48 (1973), 119-135.
- [4] St. Ruscheweyh, J. Stankiewicz, Subordination under convex univalent function, Bull. Pol. Acad. Sci. Math., 33 (1985), 499-502.
- [5] J. Sokół, The convexity of Hadamard product of three functions, J. Math. Appl., 29 (2007), 121-125.
- [6] J. Stankiewicz, Z. Stankiewicz, Some Applications of the Hadamard Convolution in the Theory of Functions, Ann. Univ. Mariae Curie-Sklodowska, 40 (1986), 251- 265.
- [7] E. M. Stein and R. Shakarchi, Complex Analysis, Princeton University Press, New Jersey, USA
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Bibliografia
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