A certain subclass of analytic functions involving operators of fractional calculus
نویسندگان
چکیده
منابع مشابه
Certain subclass of $p$-valent meromorphic Bazilevi'{c} functions defined by fractional $q$-calculus operators
The aim of the present paper is to introduce and investigate a new subclass of Bazilevi'{c} functions in the punctured unit disk $mathcal{U}^*$ which have been described through using of the well-known fractional $q$-calculus operators, Hadamard product and a linear operator. In addition, we obtain some sufficient conditions for the func...
متن کاملOn certain fractional calculus operators involving generalized Mittag-Leffler function
The object of this paper is to establish certain generalized fractional integration and differentiation involving generalized Mittag-Leffler function defined by Salim and Faraj [25]. The considered generalized fractional calculus operators contain the Appell's function $F_3$ [2, p.224] as kernel and are introduced by Saigo and Maeda [23]. The Marichev-Saigo-Maeda fractional calculus operators a...
متن کاملSome 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...
متن کاملCertain Integral Means Inequalities Involving Fractional Calculus Operators of Analytic Functions
This paper investigates a class of sharp integral means inequalities involving fractional calculus operators of certain analytic functions with negative coefficients. Some consequences of the main result are also mentioned.
متن کاملInequalities 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.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Computers & Mathematics with Applications
سال: 1998
ISSN: 0898-1221
DOI: 10.1016/s0898-1221(98)00007-8