Derivatives with respect to the order of the Legendre Polynomials

Abstract

Expressions for the derivatives of the Legendre polynomials of the first kind with respect to the order of these polynomials are given. An explicit form for the fourth derivative is presented.

Cited by in corpus (1)

• On the derivatives ${\partial }^2{P}_{\nu }(z)/\partial {\nu }^2$ and $\partial Q_{\nu }(z)/\partial \nu$ of the Legendre functions with respect to their degrees