Conformable differential operators for meromorphically multivalent functions

Abstract

We define a conformable diff-integral operator for a class of meromorphically multivalent functions. We show that this conformable operator adheres to the semigroup property. We then use the subordination properties to prove inclusion conditions, sufficienrt inclusion conditions and convolution properties for this class of conformable operators.

Keywords

• subordination and superordination
• meromorphically multivalent functions
• univalent function
• analytic function
• open unit disk
• conformable fractional operator
• fractional calculus
• 30c55
• 30c45