Strong differential subordination and superordination of analytic functions

Jeyaraman, M. P.; Suresh, T. K.

doi:10.1016/j.jmaa.2011.07.016

Cited by 19 publications

(17 citation statements)

References 4 publications

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“…In recent years, several authors obtained many interesting results in strong differential subordination and superordination [1,3,4,11,12,13]. In this work, by making use of the strong differential subordination results and strong differential superordination results of Oros and Oros [8,9], we introduce and study certain suitable classes of admissible functions and derive some strong differential subordination and superordination properties of λpseudo-starlike functions with respect to symmetrical points.…”

Section: Definition 11 ([6]mentioning

confidence: 99%

Strong differential sandwich results of l-pseudo-starlike functions with respect to symmetrical points

Srivástava¹,

Abbas²

2019

Mathematica Moravica

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In the present investigation, by considering suitable classes of admissible functions, we establish strong differential subordination and superordination properties for λ-pseudo-starlike functions with respect to symmetrical points in the open unit disk U . These results are applied to obtain strong differential sandwich results.2010 Mathematics Subject Classification. Primary: 30C45; Secondary: 30A20.

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Section: Definition 11 ([6]mentioning

confidence: 99%

Strong differential sandwich results of l-pseudo-starlike functions with respect to symmetrical points

Srivástava¹,

Abbas²

2019

Mathematica Moravica

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“…On the other hand, several authors [1,4,5,6,12,13] tried to generalize the Schwarzian derivatives and investigated their properties. Especially, in [13], Tamanoi defined a Schwarzian derivative of higher order S n [f ] (n ∈ N).…”

Section: O Kwon and Y Simmentioning

confidence: 99%

Starlikeness and Schwarzian Derivatives of Higher Order of Analytic Functions

Kwon¹,

Sim²

2017

Communications of the Korean Mathematical Society

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“…In recent years, several authors obtained many interesting results in strong differential subordination and superordination [1][2][3][4]. In this present investigation, by making use of the strong differential subordination results and strong differential superordination results of Oros and Oros [8,9], we consider certain suitable classes of admissible functions and investigate some strong differential subordination and superordination properties of meromorphic multivalent quasi-convex functions.…”

Section: Introductionmentioning

confidence: 99%