Abstract
For analytic functions in the open unit disk U, we define two new general integral operators. The main object of the this paper is to study these two new integral operators and to determine some sufficient conditions for general p-valent integral operator to be p-th power of a univalent functions.
Highlights
Let Ap be the class of functions of the form: ∑∞ f (z) = zp +akzk, z ∈ U, p ∈ N∗ = {1, 2, ..., n} k= p+1 (1.1)which are analytic and p-valent in the unit disk U = {z : |z| < 1}.A function f ∈ Ap is called p-valent starlike of order γ if f (z) satisfiesRe ( z f ′ (z) ) > γ, z ∈ U, (1.2) f (z)
The main object of the this paper is to study these two new integral operators and to determine some sufficient conditions for general p-valent integral operator to be p-th power of a univalent functions
Hallenbeck and Livingston defined p-subordination chains method and they obtained some results for f ∈ Ap to be the p-th power of a univalent functions in U
Summary
Abstract For analytic functions in the open unit disk U, we define two new general integral operators. The main object of the this paper is to study these two new integral operators and to determine some sufficient conditions for general p-valent integral operator to be p-th power of a univalent functions. We define two new general p-valent integral operators.
Sign-in/Register to view highlights & summary Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
