Bessel Equation: Bessel Functions of the 2nd Kind

This lecture covers the Bessel equation and its solutions, focusing on the Bessel functions of the 2nd kind. It explains the properties of these functions, their relation to the 1st kind functions, and the process of obtaining them using the Frobenius method. The lecture also discusses the general solution to the Bessel equation, including cases for different values of v. Examples and practical approaches for finding solutions are provided, along with a detailed explanation of the limiting process to obtain the 2nd solution. Various properties and asymptotic forms of the Bessel functions are explored, emphasizing their significance in mathematical physics.