On certain properties of neighborhoods of analytic functions of complex order

• Autorzy: Latha S. , Poornima N.
• Języki publikacji: EN

Abstrakty

EN

Let A(n) denote the class of functions of the form [wzór] which are analytic in the open unit disk U = {z : |z| < 1}. In this note, the subclasses Sn (β, γ, a, c), Rn (β, γ, a, c; μ ), S(sup α) (sub n) (β, γ a, c) and R (sup α) (sub n) (β, γ, a, c; μ ) of A(n)(are defined and some properties of neighborhoods arę studied for functions of complex order in these classes.

Słowa kluczowe

EN

univalent functions; neighborhoods; linear operator; convex functions; starlike functions

PL

funkcja analityczna; funkcja jednolistna; otoczenie; operator liniowy; funlcja wypukła; funkcja gwiaździsta

• Wydawca: Oficyna Wydawnicza Politechniki Rzeszowskiej
• Czasopismo: Journal of Mathematics and Applications
• Rocznik: 2008
• Tom: Vol. 30
• Strony: 83--90
• Opis fizyczny: Bibliogr. 8 poz.

Twórcy

autor

Latha S.

autor

Poornima N.

• Department of Mathematics and Computer Science Maharaja's College University of Mysore Mysore - 570005, INDIA,

Bibliografia

• [1] O. Altintas and S. Owa, Neighborhoods of certain analytic functions with negative coefficients, Internat. J. Math, and Math. Sci., 19(1996), 797-800.
• [2] O. Altintas and Ö. Özkan and H. M. Srivastava, Neighborhoods of a class of analytic functions with negative coefficients, Appl. Math. Lett., 13(3)(2000), 63-67.
• [3] O. Altintas and Ö.Özkan and H. M. Srivastava; Majorization by starlike functions of complex order, Complex Variable Theory Appl, 46(2001), 207-218.
• [4] O. Altintas and Ö.Özkan and H. M. Srivastava, Neighborhoods of a certain family of multivalent functions with negative coefficients, Comput. Math. Appl., 47(2004).
• [5] O. Altintas and H. M. Srivastava, Some Majorization problems associated with p-valently starlike and convex functions of complex order, East. Asian. Math. J., 17(2001), 175-183.
• [6] P. L. Duren, Univalent functions, Springer-Verlag, 1983.
• [7] G. Murugusundaramoorthy and H. M. Srivastava, Neighborhoods of certain classes of analytic functions of complex order, Journal of Inequalities in Pure and Applied Mathematics ,Volume 5, Issue 2, Article 24, 2004.
• [8] S. Ruscheweyh, Neighborhoods of univalent functions, Proc. Amer. Math. Soc., 81(1981), 521-527.