Jack’s lemma for certain subclasses of analytic functions defined by a new fractional linear operator | Zendy

Zainab E. Abdulnaby | Zendy; Rabha W. Ibrahim | Zendy; Adem Kılıçman | Zendy

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Jack’s lemma for certain subclasses of analytic functions defined by a new fractional linear operator

Author(s) -

Zainab E. Abdulnaby,

Rabha W. Ibrahim,

Adem Kılıçman

Publication year - 2017

Publication title -

aip conference proceedings

Language(s) - English

Resource type - Conference proceedings

eISSN - 1551-7616

pISSN - 0094-243X

DOI - 10.1063/1.4972164

Subject(s) - lemma (botany) , operator (biology) , unit disk , mathematics , analytic function , linear map , geometric function theory , unit (ring theory) , function (biology) , multiplication operator , moment (physics) , shift operator , pure mathematics , algebra over a field , discrete mathematics , compact operator , computer science , repressor , ecology , chemistry , biology , biochemistry , classical mechanics , hilbert space , evolutionary biology , transcription factor , programming language , physics , mathematics education , poaceae , extension (predicate logic) , gene , riemann surface

The theory of functional operator has been employed in several areas of mathematics, especially in the geometric function theory in the open unit disk. By utilizing the Moment-Generating function, we define a new fractional linear operator in the open unit disk. We discuss some geometric properties of this operator on some subclasses by applying the concept Jack’s lemma.

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