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: Chemical Cytotoxicity, Legendre’s equation, Leaf extract on Rat Chromosomes, eigen-values, eigen-function, differential equation, power series