Applications of Srivastava–attiya Operator to the Classes of Strongly Starlike and Strongly Convex Functions
نویسندگان
چکیده
Srivastava-Attiya operator is used to define some new subclasses of strongly starlike and strongly convex functions of order β and type α in the open unit disk U . For each of these new function classes, several inclusion relationships are established. Some interesting corollaries and applications of the results presented here are also discussed. Mathematics subject classification (2000): 30C45, 11M35.
منابع مشابه
Higher order close-to-convex functions associated with Attiya-Srivastava operator
In this paper, we introduce a new class$T_{k}^{s,a}[A,B,alpha ,beta ]$ of analytic functions by using a newly defined convolution operator. This class contains many known classes of analytic and univalent functions as special cases. We derived some interesting results including inclusion relationships, a radius problem and sharp coefficient bound for this class.
متن کاملSome Applications of Srivastava-Attiya Operator to p-Valent Starlike Functions
E. A. Elrifai, H. E. Darwish, and A. R. Ahmed Faculty of Science, Mansoura University, Mansoura 35516, Egypt Correspondence should be addressed to H. E. Darwish, [email protected] Received 25 March 2010; Accepted 14 July 2010 Academic Editor: Ram N. Mohapatra Copyright q 2010 E. A. Elrifai et al. This is an open access article distributed under the Creative Commons Attribution License, which...
متن کاملSubclasses of Starlike Functions Involving Srivastava-attiya Integral Operator
Making use of the generalized Srivastava-Attiya integral operator, we define a new subclass of starlike functions with negative coefficients and obtain coefficient estimates, extreme points, the radii of close to convexity, starlikeness and convexity and neighbourhood results for f ∈ TS b (α, β, γ, A,B). In particular, we obtain modified Hadamard product results for the function f(z) belongs to...
متن کاملSome inclusion properties for certain subclasses of strongly starlike and strongly convex functions involving a family of fractional integral operators
A known family of fractional integral operators (with the Gauss hypergeometric function in the kernel) is used here to define some new subclasses of strongly starlike and strongly convex functions of order β and type α in the open unit disk U. For each of these new function classes, several inclusion relationships associated with the fractional integral operators are established. Some interesti...
متن کاملOn the quadratic support of strongly convex functions
In this paper, we first introduce the notion of $c$-affine functions for $c> 0$. Then we deal with some properties of strongly convex functions in real inner product spaces by using a quadratic support function at each point which is $c$-affine. Moreover, a Hyers–-Ulam stability result for strongly convex functions is shown.
متن کامل