Korean J. Math. Vol. 31 No. 3 (2023) pp.259-267
DOI: https://doi.org/10.11568/kjm.2023.31.3.259

Partial sums and neighborhoods of Janowski-type subclasses of meromorphic functions

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Published: Sep 30, 2023
Keywords:
analytic functions, Meromorphic functions, Starlike function, neighborhood, Partial sums, q-calculus
Mathematics Subject Classification:
32A20, 30D30, 30C45

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Abdullah Alatawi
Department of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, Bangi, 43600, Selangor, Malaysia;
https://orcid.org/0000-0001-6246-3359
Maslina Darus
Department of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, Bangi, 43600, Selangor, Malaysia.

Abstract




The paper presents the introduction of a novel linear derivative operator for meromorphic functions that are linked with q-calculus. Using the linear derivative operator, a new category of meromorphic functions is generated in the paper. We obtain sufficient conditions and show some properties of functions belonging to these subclasses. The partial sums of its sequence and the q-neighborhoods problem are solved.






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