Integral representation of Kelvin functions and their derivatives with respect to the order

  • Alexander Apelblat
Original Papers


Integral representations of the Kelvin functions ber v x and bei v x and their derivatives with respect to the order are considered. Using the Laplace transform technique the derivatives are expressed in terms of finite integrals. The Kelvin functions bern+1/2x and bein+1/2x can be presented in a closed form.


Mathematical Method Closed Form Integral Representation Finite Integral 
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Copyright information

© Birkhäuser Verlag 1991

Authors and Affiliations

  • Alexander Apelblat
    • 1
  1. 1.Department of Chemical EngineeringBen Gurion University of the NegevBeer ShevaIsrael

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