Abstract
New fuzzy differential subordinations
Highlights
Introduction and preliminariesThe notion of di¤erential subordination was introduced by S.S
In order to use the concept of fuzzy di¤erential subordination, we remember the following de...nitions
If p is analytic in U and satis...es the fuzzy di¤erential subordination (p(z); zp02p00(z); z) F (h(z)); (2)
Summary
The notion of di¤erential subordination was introduced by S.S. Miller and P.T. Univalent function, fuzzy function, fuzzy di¤erential subordination, dominant, best dominant. [14] A function L(z; t), z 2 U , t 0, is a subordination chain if L( ; t) is analytic and univalent in U for all t 0, and L(z; t1) L(z; t2), when 0 t1 < t2 < 1. > 0; z 2 U: In order to use the concept of fuzzy di¤erential subordination, we remember the following de...nitions. If p is analytic in U and satis...es the (second-order) fuzzy di¤erential subordination (p(z); zp02p00(z); z) F (h(z));. The univalent function q is called a fuzzy dominant of the fuzzy solution of the fuzzy di¤erential subordination, or more simple a fuzzy dominant, if p(z) F q(z); z 2 U for all p satisfying (2). The function F : C ! [0; 1] can be a function of the form of functions shown in Remark 8
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