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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]

In the present paper, we extend some results on r-convex and r-invex functions regarding some majorization type discrete inequalities. Some applications are also discussed. [ABSTRACT FROM AUTHOR]

In this paper, we find the conditions such that Ω (a; c;m)f ε S (ϵ,α,k) Ω (a; c;m)f ϵ UCV(ϵ,α,k) Ω (a; c;m)f ϵ UCD(k) if fϵ Rτ (A,B). Also consequences of the results are pointed out. [ABSTRACT FROM AUTHOR]

In this paper, we extend our results of some inequality relations in which we include multivalent functions in order to give sufficient conditions (unfortunately not sharp) when the following implication holds: ǀarg [1 + zf(p+1)(z)/ f(p)(z) ]ǀ.<απ/2(Z∊픻) ⇒ ǀarg zf'(z)/f(z) ǀ < βμ/2 (z ∊ 픻).Here f(z) is a multivalent function, i.e., analytic on the unit disk and of the form f(z) = zp + ap+1zp+1 + …, p = 2, 3 . . . . [ABSTRACT FROM AUTHOR]

In this paper, we introduce a new subclass of analytic functions. For this functions class we obtain Fekete-Szegö inequality and coefficient bounds for bi-univalent functions. [ABSTRACT FROM AUTHOR]

In this paper we investigate the problem of stability for certain subclasses of analytic functions of complex order denoted by S*(A,B, b) and C(A,B, b) and we give the upper and lower bounds of their radius of stability. We also study a stability of geometric properties of a function f under Alexander integral transformation when f is in S*(A,B, b) or C(A,B, b). [ABSTRACT FROM AUTHOR]

In this paper, the class ∑λ (α, β &#947,;) of univalent meromorphic functions de- fined by Ruscheweyh derivative in the punctured unit disk U* is introduced. We study some results concerning the partial sums of meromorphic univalent starlike functions and meromorphic univalent convex functions. [ABSTRACT FROM AUTHOR]

In this paper, we introduce the notion of strongly φ-convex functions with respect to c > 0 and present some properties and representation of such functions. We obtain a characterization of inner product spaces involving the notion of strongly φ-convex functions. Finally, a version of Hermite Hadamard-type inequalities for strongly φ-convex functions are established. [ABSTRACT FROM AUTHOR]