Strong Differential Subordination and Stochastic Integration
نویسندگان
چکیده
منابع مشابه
Strong differential subordination and superordination of analytic functions associated with Komatu operator
Strong dierential subordination and superordination properties are determined for some familiesanalytic functions in the open unit disk which are associated with the Komatu operator by investigatingappropriate classes of admissible functions. New strong dierential sandwich-type results arealso obtained.
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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.
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An operator associated with the Wright function is introduced in the open unit disk. Differential subordination and superordination results associated with this operator are obtained by investigating appropriate classes of admissible functions. In particular, some inequalities for modified Bessel functions are also obtained.
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ژورنال
عنوان ژورنال: The Annals of Probability
سال: 1994
ISSN: 0091-1798
DOI: 10.1214/aop/1176988738