Entire functions with univalent derivatives

Univalent Functions with Univalent Derivatives. Ii

Univalent Functions Defined by Ruscheweyh Derivatives

We study some radii problems concerning the integral operator z F(z)y+l uY-I f(u) du zy o for certain classes, namely K and M (a), of univalent functions defined by Ruscheweyh n n derivatives. Infact, we obtain the converse of Ruscheweyh’s result and improve a result of Goel and Sohi for complex by a different technique. The results are sharp.

Entire Functions That Share Rational Functions with Their Derivatives

In this paper, we use the idea of normal family to deal with the uniqueness problems of entire functions that share a rational function with its derivative and get a uniqueness theorem. The conclusions in this paper can be used to improve several known results. Some examples are provided to show that the results presented in this paper are possible. AMS Mathematics Subject Classification (2010)...

Uniqueness of Entire Functions Sharing Polynomials with Their Derivatives

and Applied Analysis 3 From the ideas of Theorem D to Theorem F, it is natural to ask whether the values a, b in Theorem C can be replaced by two polynomials Q1, Q2. The main purpose of this paper is to investigate this problem. We prove the following result. Theorem 1.2. Let Q1 z a1z a1,p−1zp−1 · · · a1,0 and Q2 z a2z a2,p−1zp−1 · · · a2,0 be two polynomials such that degQ1 z degQ2 z p (where ...

Sufficient Inequalities for Univalent Functions

In this work, applying Lemma due to Nunokawa et. al. cite{NCKS}, we obtain some sufficient inequalities for some certain subclasses of univalent functions.