A certain subclass of uniformly convex functions with negative coefficients defined by lambda operator

In this paper, we introduce a new subclass of uniformly convex functions with negative coefficients defined by lambda operator. We obtain the coefficient bounds, growth distortion properties, extreme points and radii of close-to-convexity, starlikeness and convexity for functions belonging to the class T S(υ, ϱ, µ, s). Furthermore, we obtained modified Hadamard product, convolution and integral operators for this class.Publisher's Versio

On a subclass of meromorphic functions defined by Hilbert space operator

In this paper we introduce and study a new subclass of meromorphic functions associated with a certain differential operator on Hilbert space. For this class, we obtain several properties like the coefficient inequality, growth and distortion theorem, radius of close-to-convexity, starlikeness and meromorphically convexity and integral transforms. Further, it is shown that this class is closed under convex linear combinations

Notes on meromorphic functions with positive coefficients defined by Bessel function

In this article, a new subclass of univalent meromorphic under Bessel mapping function is defined. Some properties such as coefficient estimates, starlikeness and convexity radii, and extreme points are derived. Finally, partial sums and neighbourhood properties are given

Derivation dα,β of ordered G-semirings

In this paper, we introduce the concept of derivation dα,β of ordered G-semiring. We study some of the properties of derivation dα,β of ordered G-semirings. We prove that if a derivation dα,β is nonzero on an integral G-semiring M then it is non-zero on any non-zero ideal of M and we characterize k-ideal and m - k ideal using derivation dα,β of ordered G-semiring

(f, g)-derivation of ordered Γ-semirings

In this paper, we introduce the concept of (f, g)-derivation, which is a generalization of f- derivation and derivation of ordered Γ-semiring and study some properties of (f, g)-derivation of ordered Γ-semirings. We prove that, if d is a (f, g)-derivation of an ordered integral Γ-semiring M then ker d is a m-k-ideal of M and we characterize m-k-ideal using (f, g)-derivation of ordered Γ-semiring M

Neighbourhoods of a certain subclass of strongly starlike functions

In this paper we introduce and study a new subclass of strongly starlike functions of order α defined by convolution structure. We investigate neighbourhoods and coefficient bounds of this class.Publisher's Versio