The univalence conditions for a general integral operator

نویسندگان

  • Daniel Breaz
  • Antonela Toma
چکیده

For analytic functions in the open unit disk, J. Becker (Math. Ann. 202(1973)) has given some univalent conditions. In the present paper, some extensions of Becker’s type are considered.

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

Univalence conditions for a general integral operator

For analytic functions in the open unit disk U , we define a new general integral operator. The main object of the this paper is to study this new integral operator and to determine univalence conditions of it. Several corollaries of the main results are also considered.

متن کامل

Univalence Criteria for a General Integral Operator

In this paper the author introduces a general integral operator and determines conditions for the univalence of this integral operator. Also, the significant relationships and relevance with other results are also given.

متن کامل

On an integral operator

In this paper we define a general integral operator for analytic functions in the open unit disk and we determine some conditions for univalence of this integral operator.

متن کامل

Ozaki's conditions for general integral operator

Assume that $mathbb{D}$ is the open unit disk. Applying Ozaki's conditions, we consider two classes of locally univalent, which denote by $mathcal{G}(alpha)$ and $mathcal{F}(mu)$ as follows begin{equation*}  mathcal{G}(alpha):=left{fin mathcal{A}:mathfrak{Re}left( 1+frac{zf^{prime prime }(z)}{f^{prime }(z)}right) <1+frac{alpha }{2},quad 0<alphaleq1right}, end{equation*} and begin{equation*}  ma...

متن کامل

Univalence preserving integral operators defined by generalized Al-Oboudi differential operators

In this paper, we investigate sufficient conditions for the univalence of an integral operator defined by generalized Al-Oboudi differential operator.

متن کامل

ACTA UNIVERSITATIS APULENSIS No 19/2009 SOME EXTENSIONS OF SUFFICIENT CONDITIONS FOR UNIVALENCE OF AN INTEGRAL OPERATOR ON THE CLASSES

In this paper, we consider the subclasses Tj , Tj,μ and Sj(p) (j = 2, 3, . . .), and generalize univalence conditions for integral operator Fα1,α2,...,αn,β of the analytic function f belonging to the classes T2, T2,μ and S(p). 2000 Mathematics Subject Classification: 30C45.

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

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

عنوان ژورنال:
  • Appl. Math. Lett.

دوره 24  شماره 

صفحات  -

تاریخ انتشار 2011