On q-ANALOGUE of Differential Subordination Associated with Lemniscate of Bernoulli
This article comprises the study of differential subordination with analogue of q-derivative. It includes the sufficient condition on γ for 1+γ∂zqhz/hnz to be subordinated by 1+Az/1+Bz, −1≤B<A≤1, and implies that hz≺1+z, where hz is the analytic function in the open unit disk. Moreover, certain s...
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| Autores principales: | , , , |
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| Formato: | article |
| Lenguaje: | EN |
| Publicado: |
Hindawi Limited
2021
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| Materias: | |
| Acceso en línea: | https://doaj.org/article/fc3d7d1cd335474997abea7ef5d6b377 |
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| Sumario: | This article comprises the study of differential subordination with analogue of q-derivative. It includes the sufficient condition on γ for 1+γ∂zqhz/hnz to be subordinated by 1+Az/1+Bz, −1≤B<A≤1, and implies that hz≺1+z, where hz is the analytic function in the open unit disk. Moreover, certain sufficient conditions for q-starlikeness of analytic functions related with lemniscate of Bernoulli are determined. |
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