On some questions for the q-integration operator

Garayev, Mübariz T.

doi:10.1007/s44146-023-00064-z

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2024

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“…This article provides a summary of q-calculus, first introduced by Jackson and further studied by various mathematicians [5][6][7][8][9][10]. It aims to present essential concepts and definitions in q-calculus and emphasizes the importance of the q-difference operator in fields like geometric function theory.…”

Section: Introductionmentioning

confidence: 99%

New Uses of q-Generalized Janowski Function in q-Bounded Turning Functions

Shaba,

Tawfiq,

Breaz

et al. 2024

Mathematics

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In this paper, we discussed a new subclass JQ⅁,AB(q) of bi-univalent functions in the unit disk U using q-generalized Janowski function and q-derivative. Additionally, certain properties were examined and effectively demonstrated, such as the second Hankel determinant, Fekete–Szegö estimates, and Coefficients Bounds. Each of these bounds were precise and were confirmed by finding the extremal function for the new class. Furthermore, there are in-depth conversations available regarding certain intriguing specific cases of the outcomes achieved.

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