Higher-order q-derivatives and their applications to subclasses of multivalent Janowski type q-starlike functions

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چکیده

Abstract In the present investigation, with help of certain higher-order q -derivatives, some new subclasses multivalent -starlike functions which are associated Janowski defined. Then, interesting results, for example, radius problems and results related to distortion, derived. We also derive a sufficient condition coefficient inequalities our defined function classes. Some known consequences this subject highlighted. Finally, well-demonstrated fact about $(p,q)$ ( p , q ) -variations is given in concluding section.

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ژورنال

عنوان ژورنال: Advances in Difference Equations

سال: 2021

ISSN: ['1687-1839', '1687-1847']

DOI: https://doi.org/10.1186/s13662-021-03611-6