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American Journal of Applied Science and Technology

Peer Reviewed | Open Access | E-ISSN: 2771-2745
Published Article

Bessel functions of the first kind

Bessel functions of the first kind

Authors

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

DOI:

https://doi.org/10.37547/ajast/Volume05Issue01-07

Keywords:

Bessel functions power series mathematical analysis

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.

References

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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.