Special Functions of Mathematical Physics and Chemistry |
Contents
MATHEMATICAL | 1 |
The point at infinity | 10 |
The hypergeometric series | 20 |
Copyright | |
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Common terms and phrases
arbitrary constants Bessel coefficients Bessel functions coefficients of h corresponding Deduce defined by equation denotes derived duplication formula E. W. Hobson equation 8.1 equation d2R equivalent example expansion expression F₁ follows from equation function J,(x gamma function generalisation Hence Hermite functions hypergeometric equation hypergeometric series indicial equation Jn(x Jo(x Laguerre polynomials Laplace's equation Legendre functions Legendre polynomial Legendre's associated equation Legendre's equation mathematical physics normalised obtain the relation orthogonal P(cos polynomial of degree positive integer possesses solutions problems Prove Qn(µ readily shown recurrence relation regular singular point result roots satisfies Schrödinger equation second solution sides of equation Similarly sin² solution of equation solution of Laplace's solution of Legendre's spherical Substituting theorem values variable variation wave function write y₁(x Yo(x αμ Απ µ² πχ