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1: 10.64 Integral Representations
2: 10.38 Derivatives with Respect to Order
§10.38 Derivatives with Respect to Order
3: 10.15 Derivatives with Respect to Order
§10.15 Derivatives with Respect to Order
4: 14.11 Derivatives with Respect to Degree or Order
§14.11 Derivatives with Respect to Degree or Order
5: 11.4 Basic Properties
§11.4(vi) Derivatives with Respect to Order
For derivatives with respect to the order ν , see Apelblat (1989) and Brychkov and Geddes (2005). …
6: 10.40 Asymptotic Expansions for Large Argument
ν -Derivative
7: Bibliography
  • A. Apelblat (1989) Derivatives and integrals with respect to the order of the Struve functions H ν ( x ) and L ν ( x ) . J. Math. Anal. Appl. 137 (1), pp. 17–36.
  • A. Apelblat (1991) Integral representation of Kelvin functions and their derivatives with respect to the order. Z. Angew. Math. Phys. 42 (5), pp. 708–714.
  • 8: 10.21 Zeros
    §10.21(xiv) ν -Zeros
    9: Bibliography C
  • H. S. Cohl (2010) Derivatives with respect to the degree and order of associated Legendre functions for | z | > 1 using modified Bessel functions. Integral Transforms Spec. Funct. 21 (7-8), pp. 581–588.
  • 10: 11.1 Special Notation
    §11.1 Special Notation
    x

    real variable.

    ν

    real or complex order.

    n

    integer order.

    Unless indicated otherwise, primes denote derivatives with respect to the argument. …