Analysis Of The Bessel Functions
ABSTRACT
As a special function and a second order
differential equation, the Bessel equation is of the form. x?y" + xy'+
(x?-v?) y= 0 Considering the method of solution, this work deploys the
Frobenius method in getting a solution known as the Bessel functions. The
relationship between the Gamma function and the Bessel function, emphasis on
infinite series and improper integral in relation to Bessel and Gamma functions
were considered. The zeros on the Bessel function, the modified Bessel function
which allows treatment using complex variables were also considered. Finally,
we considered a special and concise way of solving Bessel's differential
equation and other differential equation that can be reduced to Bessel's
differential equation, hence, the Bessel function as a solution.
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CHARLES, U (2022). Analysis Of The Bessel Functions. Repository.mouau.edu.ng: Retrieved Nov 22, 2024, from https://repository.mouau.edu.ng/work/view/analysis-of-the-bessel-functions-7-2
UGOCHINYERE, CHARLES. "Analysis Of The Bessel Functions" Repository.mouau.edu.ng. Repository.mouau.edu.ng, 14 Dec. 2022, https://repository.mouau.edu.ng/work/view/analysis-of-the-bessel-functions-7-2. Accessed 22 Nov. 2024.
UGOCHINYERE, CHARLES. "Analysis Of The Bessel Functions". Repository.mouau.edu.ng, Repository.mouau.edu.ng, 14 Dec. 2022. Web. 22 Nov. 2024. < https://repository.mouau.edu.ng/work/view/analysis-of-the-bessel-functions-7-2 >.
UGOCHINYERE, CHARLES. "Analysis Of The Bessel Functions" Repository.mouau.edu.ng (2022). Accessed 22 Nov. 2024. https://repository.mouau.edu.ng/work/view/analysis-of-the-bessel-functions-7-2