Fuzzy differential subordinations connected with the linear operator

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