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Naik, Uday H.; Shaikh, Raisa M.; Gophane, Machchhindra T.

Differential subordinations and fuzzy differential subordinations using Hilbert space operator. (English) Zbl 07828506

South East Asian J. Math. Math. Sci. 19, No. 2, 97-112 (2023).
Summary: Differential subordination has recently been extended from the geometric function theory to the fuzzy set theory by several authors. In this paper, we use the notion of fuzzy differential subordination to introduce certain fuzzy classes using Hilbert Space Operator. Certain interesting results are established for these classes.

MSC:

30C45 Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.)

Keywords:

differential subordination; fuzzy subordination; fuzzy set; fuzzy best dominant; subordinations
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References:

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