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International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 9 | Number 3 | Year 2014 | Article Id. IJMTT-V9P522 | DOI : https://doi.org/10.14445/22315373/IJMTT-V9P522

Neighborhood Properties of Ruscheweyh Type Analytic Functions


Dileep L , S. Latha
Abstract

In this paper, we define the new subclasses S(m,n) (β,γ,δ),R(m,n) (β,γ,δ ; μ), S(m,n) (α,β,γ,δ) and R(m,n) (α,β,γ,δ ; μ) of T(n) using generalized Ruscheweyh derivative and certain properties of neighborhoods for functions belonging to these classes are studied.

Keywords
Univalent functions, Neighborhoods, Convex functions, Starlike functions and Ruscheweyh derivative.
References

1. 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.
2.Al-Oboudi, On univalent functions defined by a generalized Sa ̌la ̌gean operator, Int.J. Math. Sci., (25-28), 2004, 1429-1436.
3.P. L. Duren, Univalent functions, Springer-Verlag, 1983.
4.A.W. Goodman, Univalent functions and non-analytic curves, Proc. Amer. Soc., 81 (1981), 521-527.
5.N Poornima and S. Latha, On certain properties of neighborhoods of analytic functions of complex order, Journal of Mathematics and Applications, No.38 (2008), 83-90.
6.St. Ruscheweyh, New criteria for univalent functions, Proc. Amer. Math. Soc., 49, 109-115, 1975.
7.G. S. Sa ̌la ̌gean, Subclasses of univalent functions, Lecture Notes in Mathe. Springer-Verlag, 2013( 1983), 362-372.

Citation :

Dileep L , S. Latha, "Neighborhood Properties of Ruscheweyh Type Analytic Functions," International Journal of Mathematics Trends and Technology (IJMTT), vol. 9, no. 3, pp. 189-191, 2014. Crossref, https://doi.org/10.14445/22315373/IJMTT-V9P522

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