DOAJ Open Access 2022

The Bessel equation on the quantum calculus

S. Shaimardan N.S. Tokmagambetov Y. Aikyn

Abstrak

A large number of the most diverse problems related to almost all the most important branches of mathematical physics and designed to answer topical technical questions are associated with the use of Bessel functions. This paper introduces a h-difference equation analogue of the Bessel differential equation and investigates the properties of its solution, which is express using the Frobenius method by assuming a generalized power series. The authors find discrete analogue formulas for Bessel function and the h-Neumann function and these are solutions presented by a series with the h-fractional function t^(α)_h. Lastly they obtain the linear dependencies between h-functions Bessel on T_a.

Topik & Kata Kunci

Analysis Analytic mechanics Probabilities. Mathematical statistics

Penulis (3)

S. Shaimardan

N.S. Tokmagambetov

Y. Aikyn

Format Sitasi

APA MLA BibTeX

Shaimardan, S., Tokmagambetov, N., Aikyn, Y. (2022). The Bessel equation on the quantum calculus. https://doi.org/10.31489/2022M3/132-144

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Informasi Jurnal

Tahun Terbit: 2022
Sumber Database: DOAJ
DOI: 10.31489/2022M3/132-144
Akses: Open Access ✓