Extended data

Power series is one of the important concepts in mathematical analysis, which means that every term in the series is a power of (x-a), which is a constant multiple of the series number n (n is an integer counting from 0, and a is a constant). Power series is an important concept in mathematical analysis, which has been used as a basic content in many fields such as real variable function and complex variable function.

Power series solution is a method to solve ordinary differential equations, especially when the solution of differential equations cannot be expressed by elementary functions or their integrals, other solutions, especially approximate solutions, should be sought, and power series solution is a common approximate solution. Many important ordinary differential equations in mathematical physics can be solved by power series solutions and generalized power series solutions, such as? Bessel equation, Legendre equation.

References:

Baidu Encyclopedia Power Series Solutions