In this paper, we define a new general integral operator for certain analytic and p-valent functions in the unit disc U. Using this integral operator, we obtain many known integral operators. Mathematics Subject Classification: 30C45

In this paper, we obtain some applications of first order differential subordination and superordination results for higher-order derivatives of p-valent functions involving certain linear operator. Some of our results improve and generalize previously known results.

This paper introduces and studies a new class of analytic p-valent functions in the open symmetric unit disc involving Sălăgean-type q-difference operator. Furthermore, we present several interesting subordination results, coefficient inequalities, fractional q-calculus applications, distortion theorems.

In this paper, we introduce the generalized integral operator Jp(σ, λ) and using this generalized integral operator, the new subclasses H n,m(b, σ, λ), Ln,m(b, σ, λ;μ), H n,m(b, σ, λ) and L n,m(b, σ, λ;μ) of the class of multivalent functions denoted by Tp(n) are defined. Further for functions belonging to these classes, certain properties of neighborhoods of functions of complex order are stud...