The Bessel's Function, Properties And Applications
ABSTRACT
The
Bessel equation is a second order differential equation given as xy + xy' +
(x2- v)y = 0 Like most differential equationit can be solved using various
methods. This work makes use of the method of Frobenius to arrive at a solution
known as Bessel's functions. Furthermore, these functions have recurrence
relations and can be modified to accommodate treatment using complex variables.
They also have roots called " Zeros" which have the properties of
being simple and infinitely many. The roots of Bessel's functions of different
orders interlace. Finally, these functions are of immense importance to
physicist and engineers as they can be used to solve boundary value problems in
mathematical physics and I engineering.
0.0
NWOSU, A (2021). The Bessel's Function, Properties And Applications. Repository.mouau.edu.ng: Retrieved Apr 25, 2024, from https://repository.mouau.edu.ng/work/view/the-bessels-function-properties-and-applications-7-2
ALAMEZIE, NWOSU. "The Bessel's Function, Properties And Applications" Repository.mouau.edu.ng. Repository.mouau.edu.ng, 02 Jun. 2021, https://repository.mouau.edu.ng/work/view/the-bessels-function-properties-and-applications-7-2. Accessed 25 Apr. 2024.
ALAMEZIE, NWOSU. "The Bessel's Function, Properties And Applications". Repository.mouau.edu.ng, Repository.mouau.edu.ng, 02 Jun. 2021. Web. 25 Apr. 2024. < https://repository.mouau.edu.ng/work/view/the-bessels-function-properties-and-applications-7-2 >.
ALAMEZIE, NWOSU. "The Bessel's Function, Properties And Applications" Repository.mouau.edu.ng (2021). Accessed 25 Apr. 2024. https://repository.mouau.edu.ng/work/view/the-bessels-function-properties-and-applications-7-2