Strong Differential Subordinations Obtained with New Integral Operator Defined by Polylogarithm Function | Zendy

Khalifa Al-Shaqsi | Zendy

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Strong Differential Subordinations Obtained with New Integral Operator Defined by Polylogarithm Function

Author(s) -

Khalifa Al-Shaqsi

Publication year - 2014

Publication title -

international journal of mathematics and mathematical sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.21

H-Index - 39

eISSN - 1687-0425

pISSN - 0161-1712

DOI - 10.1155/2014/260198

Subject(s) - polylogarithm , mathematics , subordination (linguistics) , differential (mechanical device) , unit disk , operator (biology) , differential operator , univalent function , function (biology) , type (biology) , mathematical analysis , pure mathematics , analytic function , riemann zeta function , arithmetic zeta function , prime zeta function , physics , ecology , linguistics , philosophy , biochemistry , chemistry , repressor , evolutionary biology , biology , gene , transcription factor , thermodynamics

By using the polylogarithm function, a new integral operator is introduced. Strong differential subordination and superordination properties are determined for some families of univalent functions in the open unit disk which are associated with new integral operator by investigating appropriate classes of admissible functions. New strong differential sandwich-type results are also obtained

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