B Solving Naumann Equation: How Bessel's Second Kind Was Discovered

[Aleen Muhammed]

How Naumann arrived to the second kind of Bessel ?

I want proof , Please ..

http://C:\Users\User\Downloads

 

[drvrm]

How Naumann arrived to the second kind of Bessel ?

these functions are solution to the Bessel differential equation which is singular at the origin.
for a proof you can see
<http://mathworld.wolfram.com/BesselFunctionoftheSecondKind.html>