In this paper, we introduce some new subclasses of multivalent analytic functions in the unit disc and investigate several inclusion relationships, radius problems, and some other interesting properties of p-valent functions which are defined here by means of a certain integral operator Qβ,pf(z). Mathematics Subject Classification 2010: 30C45, 30C50.

In this paper we define a new class of functions which are analytic and p-valent with negative coefficients, by using fractional differ-integral operators studied recently by authors. Characterization, distortion theorems and other interesting properties of this class of functions are studied. Some special cases of main results are also pointed out.

In this paper, we introduce a subclass of p -valent functions involving Cho-KwonSrivastava integral operator. We study some interesting results including inclusion relations, convoltion with convex functions and integral preserving property for this class. Mathematics subject classification (2010): 30C45, 30C50.

The authors would like to thank the referees for their helpful suggestions which essentially improved the presentation of this paper. Abstract. In this paper, we introduce a new subclass of meromorphic functions and investigate inclusion relationships and properties of a certain class of meromorphically p-valent functions, which are defined by means of the familiar operator involving the genera...

Abstract In the present paper, by using concept of convolution and q -calculus, we define a certain -derivative (or -difference) operator for analytic multivalent p -valent) functions. This presumably new is an extension known -analogue Ruscheweyh derivative operator. We also give some interesting applications this functions method differential subordination. Relevant connections with number ea...

In this paper, sharp upper bounds for ∣∣ap+2 − ηa2p+1∣∣ and |ap+3| are derived for a class of Mocanu α-convex p-valent functions defined by an extended linear multiplier differential operator (LMDO) J δ p (λ, μ, l). Mathematics Subject Classification (2010): Primary 30C45, 30C50, Secondary 30C80.

The object of the present paper is to investigate coefficient estimates for functions belonging to the subclasses Rγ [α, β ] and C p γ [α, β ] of p-valent γ -prestarlike functions of order α and type β with negative coefficients. We obtain extreme points, distortion theorems, integral operators and radii of starlikeness and convexity for functions belonging to the classes Rγ [α, β ] and C γ [α,...

In this paper, we introduce a class Tk(λ, α1, p, q, s, ρ). We investigate a number of inclusion relationships, radius problem and some other interesting properties of p-valent functions which are defined here by means of a certain linear integral operator Hp,q,s(α1). 2000 Mathematics Subject Classification: 30C45, 30C50.

In this paper, we introduce the class Ao (p,A,B, α ) of p-valent functions in the unit disc U = { z : | z | < 1 }. We obtain coefficient estimate, distortion and closure theorems, radii of close-to convexity, starlikeness and convexity of order δ ( 0 6 δ < 1 ) for this class. We also obtain class preserving integral operators for this class. Furthermore, various distortion inequalities for frac...

It is well-known that the classes of starlike, convex and close-to-convex univalent functions are closed under convolution with convex functions. In this paper, closure properties under convolution of general classes of meromorphic p-valent functions that are either starlike, convex or close-to-convex with respect to n-ply symmetric, conjugate and symmetric conjugate points are investigated. 20...