Derivatives with respect to the order of the Bessel function of the first kind

Abstract

An explicit expression of the k-th derivative of the Bessel function $J_{\nu }(z)$, with respect to its order $\nu$, is given. Particularizations for the cases of positive or negative $\nu$ are considered.

9 pages

Cited by in corpus (5)

• Derivatives with respect to the order of the Legendre Polynomials
• Reflection formulas for order derivatives of Bessel functions
• On the order derivatives of Bessel functions
• 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
• On the $n$-th derivative and the fractional integration of Bessel functions with respect to the order