The Bessel equation on the quantum calculus
Кванттық есептеудегi Бессель теңдеуi
Уравнение Бесселя в квантовом исчислении
Shaimardan S. Tokmagambetov N.S. Aikyn Y.
2022E.A. Buketov Karaganda University Publish house
Bulletin of the Karaganda University. Mathematics Series
2022#107Issue 3132 - 144 pp.
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 hNeumann function and these are solutions presented by a series with the h-fractional function th(α). Lastly they obtain the linear dependencies between h-functions Bessel on Ta.
Bessel difference equation , Bessel function , h-calculus , h-fractional function , modified Bessel function , the h-derivative
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L.N. Gumilyev Eurasian National University, Nur-Sultan, Kazakhstan
Karagandy University of the name of academician E.A. Buketov, Karaganda, Kazakhstan
L.N. Gumilyev Eurasian National University
Karagandy University of the name of academician E.A. Buketov
10 лет помогаем публиковать статьи Международный издатель
Книга Публикация научной статьи Волощук 2026 Book Publication of a scientific article 2026