Hey! I have a question: how can you find the power-series solution and its leading term of the following ODE around the point x=+-(1-b) (where b is near x):(adsbygoogle = window.adsbygoogle || []).push({});

$$-(1-x^2)\frac{\partial^2 f^m_l}{\partial x^2}+2x\frac{f^m_l}{\partial x}+\frac{m^2}{1-x^2}f^m_l=l(l+1)f^m_l ,$$

and m and l are constants.

EDIT: Let me ask a better question - how can you find the solution to the following ODE:

$$ sin(\theta)\frac{\partial}{\partial \theta}(sin(\theta)\frac{\partial f(\theta)}{\partial \theta})+[l(l+1)sin^2(\theta)-m^2)]f(\theta)=0 $$

Thank you.

**Physics Forums - The Fusion of Science and Community**

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Leading term of a power-series solution

Loading...

Similar Threads - Leading term power | Date |
---|---|

B Simple Question About Term(s) re: Fermat | Jan 19, 2018 |

When do you begin to prove? which maths lead to proofs? | Jul 23, 2015 |

Integral could lead to Hypergeometric function | Nov 8, 2013 |

Leading Principal Minors of Bordered Hessian in Constrained Max Problems | May 19, 2012 |

Lots of positive exponentials leading to huge exponents | Jul 31, 2008 |

**Physics Forums - The Fusion of Science and Community**