Korean Journal of Mathematics

The Kangwon-Kyungki Mathematical Society (강원경기수학회)
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PARTIAL SUMS AND NEIGHBORHOODS OF JANOWSKI-TYPE SUBCLASSES OF MEROMORPHIC FUNCTIONS

  • Abdullah Alatawi (Department of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, Department of Mathematics, University of Tabuk) ;
  • Maslina Darus (Department of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia)
  • Received : 2023.05.09
  • Accepted : 2023.08.21
  • Published : 2023.09.30
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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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References

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