A note on some elementary properties and applications of certain operators to certain functions analytic in the unit disk

Irmak, Hüseyin

Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica, Tome 19 (2020), pp. 193-201.

Résumé

This scientific note relates to introducing certain elementary operators defined in the unit disk in the complex plane, then determining various applications (specified by those operators) to certain analytic functions, and also revealing a number of possible implications of them.

Détail

Keywords: fractional calculus, unit open disk, complex plane, analytic functions, normalized functions, Taylor-Mclaurin series expansion, the Tremblay operator, fractional, derivative operator, differential inequalities in the complex plane

Bibliographie

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