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

Hüseyin Irmak

Abstract


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.

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

Mathematics Subject Classification (2010)


30C45; 30C50; 26A33; 26D05; 26D10; 26D15; 33E12; 33D15; 30C80; 26E35

References


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