A Subclass of Analytic Functions Associated with Hypergeometric Functions

نویسندگان

Haridas H. Pawar Department of Mathematics, Sveri's College of Engineering, Pandharpur 413304, India.

Santosh B. Joshi Department of Mathematics, Walchand College of Engineering, Sangli 416415, India.

Teodor Bulboaca Faculty of Mathematics and Computer Science, Babe\c{s}-Bolyai University, 400084 Cluj-Napoca, Romania.

چکیده مقاله:

In the present paper, we have established sufficient conditions for Gaus-sian hypergeometric functions to be in certain subclass of analytic univalent functions in the unit disc $mathcal{U}$. Furthermore, we investigate several mapping properties of Hohlov linear operator for this subclass and also examined an integral operator acting on hypergeometric functions.

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

On a subclass of multivalent analytic functions associated with an extended fractional differintegral operator

Making use of an extended fractional differintegral operator ( introduced recently by Patel and Mishra), we introduce a new subclass of multivalent analytic functions and investigate certain interesting properties of this subclass.

متن کامل

New Subclass of Analytic Functions Associated with the Generalized Hypergeometric Functions

A certain subclass TQr,s,λ(η, β) consisting of analytic functions with negative coefficients in the open unit disk U is introduced. In this paper we obtain coefficient inequalities, extreme points, integral inequalities and the (n, δ)−neighborhood.

متن کامل

Subclasses of analytic functions associated with Wright generalized hypergeometric functions

In this paper, we define a generalized class of starlike functions with negative coefficients and obtain coefficient estimates, distortion bounds, closure theorems and extreme points. Further we obtain modified Hadamard product, radii of close-to-convex, starlikeness and convexity for functions belonging to this class. Furthermore neighborhood results are discussed.

متن کامل

on a subclass of multivalent analytic functions associated with an extended fractional differintegral operator

making use of an extended fractional differintegral operator ( introduced recently by patel and mishra), we introduce a new subclass of multivalent analytic functions and investigate certain interesting properties of this subclass.

متن کامل

On Subclass of Analytic Univalent Functions Associated with Negative Coefficients

M. H. Al-Abbadi and M. Darus 2009 recently introduced a new generalized derivative operator μ λ1 ,λ2 , which generalizedmany well-known operators studied earlier by many different authors. In this present paper, we shall investigate a new subclass of analytic functions in the open unit disk U {z ∈ C : |z| < 1} which is defined by new generalized derivative operator. Some results on coefficient ...

متن کامل