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In this paper, using operator Mowafy et. al. Which modified the operator of Al-Aboudi and Al-Amoudi we defined a new operator from which one can obtain many other new operators using the principle of Hadamard product (or convolution) by taking different values of its parameters. This operator has, three recurrence relations. Using one of its these recurrence relation we defined four classes related to univalent starlike and convex functions of order α, close-to-convex and quasi-convex functions of order η and type α (0≤α,η<1), which in turn generalize many other classes for different values of parameter. For these classes and by using Miller and Mocanu lemma we can obtain many inclusion results. Also some inclusion resulls for Libera integral operator are obtained. We have proved our rersults here by using the first recurrence relation. Using similar argument by applying the second and third recurrence relation one can get new results. [ABSTRACT FROM AUTHOR]

We establish coefficient bounds for functions from the subclasses of p-valent starlike and p-valent convex functions defined by higher-order derivatives and complex order introduced with the help of a certain nonhomogeneous Cauchy–Euler differential equation with higher-order derivatives. Relevant connections of some of our results with the results obtained earlier are provided. [ABSTRACT FROM AUTHOR]

In the paper, we introduce subclasses of meromorphic functions by using principle of subordination and find necessary and sufficient condition for coefficients of functions F to belonge to these classes. [ABSTRACT FROM AUTHOR]

In this paper using a q-difference Al-Oboudi operator, we define a class of univalent functions and obtain initial bounds for functions in this class. [ABSTRACT FROM AUTHOR]

Utilizing the theory of quantum calculus, we define a q−difference operator and used it to define a class of univalent functions and obtained Fekete-Szego inequality for functions in this class. [ABSTRACT FROM AUTHOR]

In this paper, we study different properties for the new class TY λ2 (n, α, β, γ) of analytic starlike and convex functions associated with a generalization of q-Salagean operator. [ABSTRACT FROM AUTHOR]

In this paper using a q--analogue operator, we define subclasses of univalent functions of complex order and fined coefficient bounds, distortion inequalities for functions in it and also obtaind inclusion relations associated with the Nq;δ-neighborhood and some Hadamard results. [ABSTRACT FROM AUTHOR]

Given the hypergeometric function F(a, b, c, z) = S∞n=0 (a)n(b)n/(c)n(1)nzn, we obtain conditions on a, b and c to guarante zpF(a, b, c, z) to be in various subclasses of p-valent starlike and p-valent convex functions. An operator related to the hypergeometric function is also examined. [ABSTRACT FROM AUTHOR]

By using Jack's lemma, we derive simple sufficient conditions for analytic functions to be multivalent close-to-convex and multivalent starlike. [ABSTRACT FROM AUTHOR]

The purpose of this paper is to introduce some characterizations of (Gaussian) hypergeometric function to be in various subclasses of uniformly starlike and uniformly convex functions. Operators related to hypergeometric functions are also considered. Some of our results correct previously known results. [ABSTRACT FROM AUTHOR]

The purpose of the present paper is to introduce and study some new classes of strongly starlike and strongly convex functions of order and type (μ1;μ2) by using a new operator associated with Mittag-Leffler function and study their properties. [ABSTRACT FROM AUTHOR]

In this paper, we introduce and study some subclasses of p-valently analytic functions in the open unit disk U by applying the q-derivative operator and the fractional q-derivative operator in conjunction with the principle of subordination between analytic functions. For the Taylor-Maclaurin coefficients ... of each of these subclasses of p-valently analytic functions, we derive sharp bounds for the Fekete-Szegő functional given by ... Relevant connections of the results presented in this paper with those derived in earlier works are also considered. [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]

We introduce a subclass of uniformly starlike and convex functions with negative coefficients defined by Sălăgean operator. In this paper, we obtain coefficient estimates, distortion theorems, closure theorems and radii of close-to-convexity, starlikeness, and convexity for functions belonging to this class. Several results for the modified Hadamard products of functions belonging to this class are obtained. Finally, distortion theorems for fractional calculus functions are also considered. [ABSTRACT FROM AUTHOR]

Making use of a differential operator and a given p-valent analytic function g the authors introduce and study two new classes TCg (p, q, n, α) and TCg (p, q, n,α) of p-valent analytic functions with negative coefficients. They also indicate relevant connections of these classes with sevesral other families of multivalent functions which were studied by earlier workers as well as new. [ABSTRACT FROM AUTHOR]

The purpose of the present paper is to investigate some argument properties for certain analytic functions in the open unit disk. The main results presented in here generalize some previous those concerning starlike function of reciprocal of order beta and strongly starlike functions. [ABSTRACT FROM AUTHOR]

By applying a fractional q-calculus operator, we define the subclasses Snα(γ, β, b, q)and Gnα(γ, β, b, q) of normalized analytic functions with complex order and negative coefficients. Among the results investigated for each of these function classes, we derive their associated coefficient estimates, radii of close-to-convexity, starlikeness and convexity, extreme points, and growth and distortion theorems. [ABSTRACT FROM AUTHOR]