Functions that are solutions of the Legendre equation
where and are arbitrary numbers. If and , then the solutions of equation (*), restricted to , are called Legendre polynomials; for integers with , the solutions of equation (*), restricted to , are called Legendre associated functions.
|[a1]||M. Abramowitz, I.A. Stegun, "Handbook of mathematical functions" , Dover, reprint (1965) pp. Chapt. 8|
|[a2]||N.N. Lebedev, "Special functions and their applications" , Dover, reprint (1972) (Translated from Russian)|
Legendre functions. Encyclopedia of Mathematics. URL: http://www.encyclopediaofmath.org/index.php?title=Legendre_functions&oldid=15230