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- W4313140167 abstract "This article is devoted to present nabla $(q, h)$-analogues of Bessel equation and Bessel function. In order to construct series solution of nabla $(q, h)$-Bessel equation, we present nabla $(q, h)$-analysis regarding nabla generalized quantum binomial, nabla $(q,h)$-analogues of Taylor's formula, Gauss's binomial formula, Taylor series, analytic functions, analytic exponential function with its fundamental properties, analytic trigonometric and hyperbolic functions. We emphasize that nabla $(q, h)$-Bessel equation recovers classical, $h$- and $q$-discrete Bessel equations. In addition, we establish nabla $(q, h)$-Bessel function which is expressed in terms of an absolutely convergent series in nabla generalized quantum binomials and intimately demonstrate its reductions. Finally, we develop modified nabla $(q,h)$-Bessel equation, modified nabla $(q,h)$-Bessel function and its relation with nabla $(q,h)$-Bessel function." @default.
- W4313140167 created "2023-01-06" @default.
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- W4313140167 date "2022-01-01" @default.
- W4313140167 modified "2023-10-11" @default.
- W4313140167 title "Bessel equation and Bessel function on $mathbb{T}_{(q,h)}$" @default.
- W4313140167 doi "https://doi.org/10.55730/1300-0098.3334" @default.
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