MSC 33C05

Thoroidal function Jacobi function of the second kind $Q_{n}^{(\rho ,\sigma )}(z)$ Jacobi amplitude $am(u,k) $ Gauss hypergeometric function Generalized hypergeometric function Conical function Legendre function of the first kind Legendre function of the second kind Legendre function associated of the first kind Legendre function asssociated of the second kind Legendre function

Thoroidal function Jacobi function of the second kind $Q_{n}^{(\rho ,\sigma )}(z)$ Jacobi amplitude $am(u,k) $ Gauss hypergeometric function Generalized hypergeometric function Conical function Legendre function of the first kind Legendre function of the second kind Legendre function associated of the first kind Legendre function asssociated of the second kind Legendre function