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Title

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

Authors

AL-Shaqsi, K.

Abstract

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.

Subjects

INTEGRAL operators; LOGARITHMS; UNIVALENT functions; ADMISSIBLE sets; DIFFERENTIAL equations

Publication

International Journal of Mathematics & Mathematical Sciences, 2014, p1

ISSN

0161-1712

Publication type

Academic Journal

DOI

10.1155/2014/260198

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