Some subclasses of analytic functions associated with fractional calculus operators

Coefficient Estimates for Some Subclasses of Analytic and Bi-Univalent Functions Associated with Conic Domain

The main objective of this investigation is to introduce certain new subclasses of the class $Sigma $ of bi-univalent functions by using concept of conic domain. Furthermore, we find non-sharp estimates on the first two Taylor-Maclaurin coefficients $ left vert a_{2}right vert $ and $left vert a_{3}right vert $ for functions in these new subclasses. We consider various corollaries and consequen...

Inequalities Defining Certain Subclasses of Analytic and Multivalent Functions Involving Fractional Calculus Operators

Making use of a certain fractional calculus operator, we introduce two new subclasses Mδ(p;λ, μ, η) and Tδ(p;λ, μ, η) of analytic and p−valent functions in the open unit disk. The results investigated exhibit the sufficiency conditions for a function to belong to each of these classes. Several geometric properties of such multivalent functions follow, and these consequences are also mentioned.

Certain Subclasses of Multivalent Functions Associated with Fractional Calculus Operator

By means of the generalized fractional calculus operator, we introduce and investigate a subclass of p−valent functions with negative coefficients. We obtain the coefficient estimates, distortion bounds for the class. Furthermore, we discuss inclusion relationship involving the neighborhood result of the same. Mathematics Subject Classification: 30C45

On Some Subclasses of Harmonic Functions Defined by Fractional Calculus

Some Applications of Fractional Calculus Operators to Certain Subclass of Analytic Functions with Negative Coefficients

The object of the present paper is to derive various distortion theorems for fractional calculus and fractional integral operators of functions in the class BT(j, λ, α) consisting of analytic and univalent functions with negative coefficients. Furthermore, some of integral operators of functions in the class BT(j, λ, α) is shown. 2000 Mathematics Subject Classification: 30C45. 1.Introduction an...