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In this paper, we introduce some new subclasses of analytic functions in the open unit disk U with negative coefficients defined by generalized Alexander integral operator. The aim of the present paper is to determine coefficient inequalities, inclusion relations, neighborhoods, partial sums and integral means properties for functions f belonging to these subclasses. [ABSTRACT FROM AUTHOR]

The main aim of this paper is to introduce a new class of convex functions with respect to non-negative functions h and bifunction n(., .), which is called generalized (p, r, h, n-convex functions. We derive some new integral inequalities for this class of functions. Some special cases are also discussed. The ideas and techniques of this paper may stimulate further research. [ABSTRACT FROM AUTHOR]

In this paper, we obtain the coefficient bounds and closure properties for a class of analytic functions defined using q-differential operator which are closely related to the classes of α-spiralike and convex α-spiral functions. Also we investigate convolution properties and necessary and sufficient conditions for functions in the defined class. [ABSTRACT FROM AUTHOR]

The purpose of the present paper is to obtain inclusion relations between various subclasses of harmonic univalent mappings by applying a convolution operator involving generalized Wright functions. To be more precise, we investigate such connections with Goodman-Rønning-type harmonic univalent functions, k-uniformly harmonic convex functions and k-uniformly harmonic starlike functions in the open unit disc U. Some of our results generalize and correct the results of Maharana and Sahoo [11]. [ABSTRACT FROM AUTHOR]