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In this paper, we investigate several interesting properties for certain class of analytic functions defined by q-analogue of p-valent Cătaş operator. All our results are sharp.

In this paper, we derive several subordination results and integral means result for certain class of analytic functions with complex order defined by means of q-differential operator. Some interesting corollaries and consequences of our results are also considered

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]

By using the principle of differential subordination, we introduce subclass of p-valent meromorphic functions involving convolution and investigate various properties for this subclass. We also indicate relevant connections of the various results presented in this paper with those obtained in earlier works.

By using the principle of differential subordination, we introduce subclass of p-valent meromorphic functions involving convolution and investigate various properties for this subclass. We also indicate relevant connections of the various results presented in this paper with the obtained results in earlier works.

In this paper we derive some subordination and superordination results for certain p-valent analytic functions in the open unit disc, which are acted upon by a class of a linear operator. Some of our results improve and generalize previously known results.

In this paper we obtain the necessary and sufficient conditions for generalized Bessel functions of the first kind zup(z) to be in the classes S(b, λ, β) and R(b, λ, β) of analytic functions with complex order and also give the necessary and sufficient conditions for z(2 - up(z)) to be in the classes TS(b, λ, β) and TR(b, λ, β). Furthermore, we give the necessary and sufficient conditions for J(k, c) to be in the class TR(b, λ, β) provided that the function f is in the class Rτ(A, B). Finally, we give conditions for the integral operator G(k, c, z) = ... (2 - up(t))dt to be in the class TR(b, λ, β). Several corollaries and consequences of the main results are also obtained. [ABSTRACT FROM AUTHOR]

In the present paper, we investigate and introduce several properties of certain families of analytic functions in the open unit disc, which are defined by q -analogue of Mittag-Leffler function associated with conic domain. A number of coefficient estimates of the functions in these classes have been obtained. Sufficient conditions for the functions belong to these classes are also considered. [ABSTRACT FROM AUTHOR]

In this paper, we find the necessary and sufficient conditions and inclusion relations for normalized Mittag-Leffler-type Poisson distribution series to be in the class in the class Τ (λ, μ) of analytic functions with negative coefficients defined in the open unit disk. Further, we consider an integral operator related to Mittag-Leffler-type Poisson distribution series. Several corollaries and consequences of the main results are also considered. [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]