A Note on the Monotonicity Properties of Two Classes of Analytic Functions Related to the Mittag-Leffler and Wright Functions
摘要
The monotonicity properties of some classes of analytic functions related to the Bessel, Lommel and Struve functions have been recently investigated in [Baricz, András, Complex Var. Elliptic Equ. (2009); Cotirla and Szász, Comput Methods Funct Theory, (2023); Cotirla and Szász, Results Math. (2023); Deniz and Szász, Complex Analysis and Operator Theory (2024)]. In the current paper we present the monotonicity properties of two classes of analytic function related to the Mittag-Leffler and the Wright functions. The key tool in our proofs is a frequently used the subordination factor sequences.