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In this paper, we define the general class Hp (λ, α, γ) of analytic and p-valent functions with negative coefficients. We investigate various important properties and characteristies of this class. Also, modified Hadamard products for functions in this class are obtained. Finally, a family of integral operators is considered [ABSTRACT FROM AUTHOR]

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]

The object of this paper is to derive various properties and characters for a class of p-valently Bazilevič functions defined with higher order derivatives. Using the technique of Briot-Bouquet differential subordination we obtained several results, some of them presented here generalize and improve a few earlier results, and several others are new ones involving differential inequalities. These last implications deal with the symmetric open disc and symmetric conic domains with respect to the real axe. Our results extends and improves many other previous ones, and some of them are the best possible under the given assumptions. [ABSTRACT FROM AUTHOR]

In this paper, by using the principal of subordination, we obtain sharp bounds for certain class of non-Bazilevič functions involving linear operator. [ABSTRACT FROM AUTHOR]

By using q-difference operator and p-Sălăgean operator, we defined q - p- Sălăgean operator. We defined a new class of close-to convex function associated with q - p- Sălăgean operator. Also, we obtained coefficient estimate theorem for this class. Several modified-Hadamard product for this class are introduced. [ABSTRACT FROM AUTHOR]

The paper contains new results in the field of Geometric Function Theory of one variable functions, specially connected with the concepts of differential subordinations and superordinations, and that could be used for further investigation in this area. We defined a new subclasses of analytic multivalent functions in the open unit disk D with the aid of the generalized well-known Srivastava-Attiya operator obtained by a convolution product with the general Hurwitz-Lerch Zeta function. For the functions belonging to these subclasses we obtain sharp subordination and superordination results, that generalizes some previous well-known subordination properties obtained by different authors. The main results are followed by some particular cases obtained for special choices of the parameters, some of them being connected with the Janowski type functions. The technique used in the proofs is based on the general theory of differential subordinations and superordination initiated and developed by S.S. Miller and P. T. Mocanu. We emphasize that these results are sharp in the sense that there are the best possible under the given assumptions of our theorems and corollaries, that is the dominants cannot be improved. These new results generalizes some previous well-known subordination properties obtained by different authors. [ABSTRACT FROM AUTHOR]

The object of this paper is to introduce and study some properties such as coefficient estimate, distortion theorems, radii of starlikness, convexity and close-to convexity of a class defined by Al-Oboudi - Al-Amoudi operator. [ABSTRACT FROM AUTHOR]

The object of this paper is to introduce and study modified Hadamard product and partial sums and some properties of a class defined by q-Al-Oboudi - Al-Amoudi operator. [ABSTRACT FROM AUTHOR]

In this paper we introduce a new subclass of p-valent analytic functions of complex order defined by using q-p-valent Bernardi integral operator. Also we obtain initial bounds for functions in this class. [ABSTRACT FROM AUTHOR]