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The object of the present paper is to derive various properties and char- acteristics of certain subclasses of p-valently analytic functions of order alpha in the open unit disc by using the techniques involving the Briot-Bouquet differential subordination.
Wydawca
Czasopismo
Rocznik
Tom
Strony
317--330
Opis fizyczny
Bibliogr. 19 poz.
Twórcy
autor
- Department of Mathematics Faculty of Science Mansoura University Mansoura, Egypt, mkaouf127@yahoo.com
Bibliografia
- [1] M. K. Aouf, A generalization of multivalent functions with negative coefficients. II, Bull. Korean Math. Soc. 25 (1988), no. 2, 221-232.
- [2] M. K. Aouf, H. M. Hossen and H. M. Srivastava, Some families of multivalentfunctions, Comput. Math. Appl. 39 (2000), 39-48.
- [3] J. Dziok and J. Stankiewicz, The order of starlikeness of p-valent ?-convex functions, Zeszyty Nauk. Politech. Rzeszowskiej, Mat. 19 (1996), 5-12.
- [4] A. W. Goodman, Univalent Functions, Mariner Publ. Comp., Vol. I, 1983.
- [5] A.W. Goodman, On the Schwarz-Christoffel transformation and p-valent functions, Trans. Amer. Math. Soc. 68 (1950), 204-223.
- [6] J. A. Hummel, Multivalent starlike functions, J. Anal. Math. 18 (1967), 133-160.
- [7] Z. J. Jakubowski and J. Kamiński, On some properties of multivalent alpha-starlike functions, Domonstratio Math. 9 (1976), no. 2, 257-265.
- [8] S. S. Miller and P. T. Mocanu, Differential subordination and univalent functions, Michigan Math. J. 28 (1981), 157-171.
- [9] S. S. Miller and P. T. Mocanu, Univalent solutions of Briot-Bouquet differential subordinations, J. Differential Equation, 56 (1985), 297-309.
- [10] M. Nunokawa, On the theory of multivalent functions, Tsukuba Math. J. 11 (1987), 273-286.
- [11] M. Obradovic, On certain inequalities of some regular functions in |z| < 1, Internat. J. Math. Math. Sci. 8 (1985), 277-281.
- [12] M. Obradovic and S. Owa, On certain properties for some classes of starlike functions, J. Math. Anal. Appl. 145 (1990), 357-364.
- [13] S. Owa, Notes on p-valently ?-convex functions, Indian J. Math. 32 (1990), 235-240.
- [14] S. Owa, Some properties of certain multivalent functions, Appl. Math. Lett. 4 (1991), no. 5, 79-83.
- [15] D. A. Patil and N. K. Thakare, On convex hulls and extreme points of p-valent starlike and convex classes with applications, Bull. Math. Soc. Sci. Math. R. S. Roum. 27 (75) (1983), 145-160.
- [16] H. Saitoh, M. Nunokawa, S. Owa, T. Sekine and S. Fukai, A remark on multivalent functions, Bull. Soc. Roy. Sci. Liege 56 (1987), 137-141.
- [17] H. M. Srivastava, J. Pateland G. P. Mohapatra, A certain class of p-valently analytic functions, Math. Comput. Modelling 41 (2005), 321-334.
- [18] E. T. Whittaker and G. N. Watson, A course od Modern Analysis: An Introduction to the General Theory of Infinite Processes and of Analytic Functions; With an Account of the Principle Transcendental Functions, Fourth Edition, Combridge Univ. Press, Combridge, 1927.
- [19] D. R. Wilken and J. Feng, A remark on convex and starlike functions, J. London Math. Soc. (Ser. 2) 21 (1980), 287-290.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-PWA3-0034-0006