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Strong differential subordination and superordination of new generalized derivative operator

Anessa Oshah|Maslina Darus
강원경기수학회 (The Kangweon-Kyungki Mathematical Society)|2015.12|한국수학논문집 (Korean Journal of Mathematics)|제23권 제4호|pp. 503-519|DOI http://dx.doi.org/10.11568/kjm.2015.23.4.503

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키워드

Analytic functionDerivative operatorStrong differential subordinationStrong differential superodination
주제분류수학

초록

In this work, certain classes of admissible functions are considered. Some strong differential subordination and superordination properties of analytic functions associated with new generalized derivative operator $\mathfrak{B}^{\mu,q,s}_{\lambda_{1},\lambda_{2},\ell,d}$ are investigated. New strong differential sandwich-type results associated with the generalized derivative operator are also given.

Abstract

In this work, certain classes of admissible functions are considered. Some strong differential subordination and superordination properties of analytic functions associated with new generalized derivative operator $\mathfrak{B}^{\mu,q,s}_{\lambda_{1},\lambda_{2},\ell,d}$ are investigated. New strong differential sandwich-type results associated with the generalized derivative operator are also given.

참고문헌 (16)

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