The Bessel Functions, Properties And Applications
ABSTRACT.
The Bessel's equation is a second order
differential equation given as xv" +xy' + (x2- B)y=O Like most
differential equations, it can be solved using various methods. This work makes
use of the Frobenius method to arrive at a solution known as Bessel 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 physicists and engineers as they can be
used to solve boundary value problems in mathematical physics and engineering.
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BANKOLE, A (2021). The Bessel Functions, Properties And Applications. Repository.mouau.edu.ng: Retrieved May 19, 2024, from https://repository.mouau.edu.ng/work/view/the-bessel-functions-properties-and-applications-7-2
ADERONKE, BANKOLE. "The Bessel Functions, Properties And Applications" Repository.mouau.edu.ng. Repository.mouau.edu.ng, 30 Jun. 2021, https://repository.mouau.edu.ng/work/view/the-bessel-functions-properties-and-applications-7-2. Accessed 19 May. 2024.
ADERONKE, BANKOLE. "The Bessel Functions, Properties And Applications". Repository.mouau.edu.ng, Repository.mouau.edu.ng, 30 Jun. 2021. Web. 19 May. 2024. < https://repository.mouau.edu.ng/work/view/the-bessel-functions-properties-and-applications-7-2 >.
ADERONKE, BANKOLE. "The Bessel Functions, Properties And Applications" Repository.mouau.edu.ng (2021). Accessed 19 May. 2024. https://repository.mouau.edu.ng/work/view/the-bessel-functions-properties-and-applications-7-2