## On Applications of Power Series Solution of Legendre’s Equation to Orbital Angular Momentum Operator Problems

Eziokwu, C. Emmanuel *

Department of Mathematics, Michael Okpara University Agriculture, Umudike Abia State, Nigeria.

Okereke, N. Roseline

Department of Mathematics, Michael Okpara University Agriculture, Umudike Abia State, Nigeria.

Nwosu Chidinma

Department of Mathematics, Michael Okpara University Agriculture, Umudike Abia State, Nigeria.

*Author to whom correspondence should be addressed.

### Abstract

One of the basic and most powerful techniques for studying functions defined by differential equations is the Power Series expansion of their solutions when such expansions exist. In this regard, Power Series solution of Legendre’s equation was introduced, discussed and later used to solve the orbital angular momentum operator problem.

Keywords: Legendre’s equation, eigen-values, eigen-function, differential equation, power series

**How to Cite**

*Asian Journal of Pure and Applied Mathematics*,

*4*(1), 183–200. Retrieved from https://globalpresshub.com/index.php/AJPAM/article/view/1510

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