Analytic functions with some univalent Gelfond-Leontev derivatives II

Hadamard Compositions of Gelfond–Leont’ev Derivatives

“…is the usual derivative of the n-th order. The Gelfond-Leont'ev derivative is a very interesting object of investigations (see [6][7][8]). These derivatives found applications in the theory of univalent analytic functions.…”

“…The generalization of the results from [14] to the case of Hadamard compositions of genus m ≥ 1 has become an actual problem. It allows researchers to study the growth properties of these function classes and consider their applications in geometric function theory as it is achieved for usual the Gelfond-Leont'ev derivatives of univalent analytic functions in [6][7][8].…”