Articles | Open Access | https://doi.org/10.37547/ajast/Volume05Issue01-07

Bessel functions of the first kind

Raupova Mohinur Haydar qizi , Chirchiq State Pedagogical University, Uzbekistan
Xasanova Mohichexra Farxod qizi , 3rd year student, Chirchiq State Pedagogical University, Uzbekistan

Abstract

This paper discusses the derivation of Bessel functions of the first kind using power series method and their properties. Additionally, the practical applications of these functions, their graphical analysis, and relationships with other special functions are examined. The research results serve to expand the theoretical and practical significance of Bessel functions.

Keywords

Bessel functions, power series, mathematical analysis

References

Salohiddinov, M.S. (2007). Integral Equations. Tashkent. 256 p.

Kreh, M. (n.d.). Bessel Functions. Pennsylvania State University. Retrieved from: http://www.math.psu.edu/papikian/Kreh.pdf

Sansone, G. (1959). Orthogonal Functions. New York, NY: Interscience Publishers Inc.

Fillipov, A.M. (1985). Collection of Problems in Differential Equations. Moscow: Nauka. 128 p.

Mamatov, M. (1995). Collection of Problems from Differential Equations. Tashkent: University. 156 p.

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Raupova Mohinur Haydar qizi, & Xasanova Mohichexra Farxod qizi. (2025). Bessel functions of the first kind. American Journal of Applied Science and Technology, 5(01), 26–29. https://doi.org/10.37547/ajast/Volume05Issue01-07