نتایج جستجو برای: differential subordination and superordination
تعداد نتایج: 16878113 فیلتر نتایج به سال:
S. P. Goyal,1 Pranay Goswami,1 and H. Silverman2 1Department of Mathematics, University of Rajasthan, Jaipur 302004, India 2Department of Mathematics, College of Charleston, Charleston, SC 29424, USA Correspondence should be addressed to H. Silverman, [email protected] Received 25 September 2007; Revised 19 February 2008; Accepted 21 May 2008 Recommended by Dorothy Wallace We derive subordina...
For analytic functions f (z) in the open unit disk E and convex functions g(z) in E, has proved one theorem which is a generalization of the result by K. Sakaguchi [K. Sakaguchi, On a certain univalent mapping, J. Math. Soc. Japan 11 (1959) 72–75]. The object of the present paper is to generalize the theorem due to Pommerenke.
The method of differential subordination or ”admissible functions method” was introduced by P.T. Mocanu and S.S. Miller in [1], [2] and then developed in monography [3], as well as in other papers of other mathematicians. Until now, the notion of differential subordination appears in papers published in various journals specialized in complex analysis around the world. We extend this method to ...
abstract in this thesis at first we comput the determinant of hankel matrix with enteries a_k (x)=?_(m=0)^k??((2k+2-m)¦(k-m)) x^m ? by using a new operator, ? and by writing and solving differential equation of order two at points x=2 and x=-2 . also we show that this determinant under k-binomial transformation is invariant.
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