Mathematica Bohemica, Vol. 146, No. 4, pp. 397-406, 2021
Fuzzy differential subordinations connected with the linear operator
Sheza M. El-Deeb, Georgia I. Oros
Received November 15, 2019. Published online November 2, 2020.
Abstract: We obtain several fuzzy differential subordinations by using a linear operator $\mathcal{I}_{m,\gamma}^{n,\alpha}f(z)=z+\sum\limits_{k=2}^{\infty}(1+\gamma( k-1))^nm^{\alpha}(m+k)^{-\alpha}a_kz^k$. Using the linear operator $\mathcal{I}_{m,\gamma}^{n,\alpha},$ we also introduce a class of univalent analytic functions for which we give some properties.
Keywords: fuzzy differential subordination; fuzzy best dominant; linear operator
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Affiliations: Sheza Mohammed El-Deeb, Department of Mathematics, Faculty of Science, Damietta University, New Damietta 34517, Egypt and Department of Mathematics, College of Science and Arts in Badaya, Qassim University, Buraidah 51452, Saudi Arabia, e-mail: shezaeldeeb@yahoo.com; Georgia Irina Oros, Department of Mathematics, University of Oradea, Str. Universitatii, No. 1, 410087 Oradea, Romania, e-mail: georgia_oros_ro@yahoo.co.uk
