Differential subordination associated with generalized Mittag-Leffler function
Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales. Serie A. Matematicas - Tập 113 - Trang 435-452 - 2018
Tóm tắt
A new operator
$$\mathcal {E}^\gamma _{\alpha ,\beta }f(z)$$
associated with the generalized Mittag-Leffler function
$$E^\gamma _{\alpha ,\beta }(z)$$
is defined in the unit disk. Second-order differential subordination results for operator
$$\mathcal {E}^\gamma _{\alpha ,\beta }f(z)$$
are obtained by investigating appropriate classes of admissible functions. Inequalities for normalized Mitttag-Leffler function
$$\mathbb {E}^\gamma _{\alpha ,\beta }(z)$$
and hyperbolic functions are also obtained.
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