In this video, I will solve the Bessel Equation for any general order of nu. It's solutions are the Bessel Functions of first and second order (also called Neumann's functions).
In future videos I will discuss the solution for nu integer, half integer and zero.
Half-integer case: [ Ссылка ]
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My name is Nick Heumann, I am a recently graduated physicist. I love to teach physics, so I decided to give YouTube a try. English is not my first language, but I hope that you can understand me well enough regardless.
▬ Contents of this video ▬▬▬▬▬▬▬▬▬▬
00:00 Introducing the Bessel Equation
00:40 Using the Frobenius Method
02:20 Plugging it into the Bessel Equation and simplifying
08:10 Writing out terms of the summation explicitly
19:11 Finding an expression for a_k
22:30 Finding an expression for a_2n
23:30 Explaining the value of the constant a_0
29:05 Writing the solution (Bessel Functions) in terms of nu
