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

DOI10.1007/BF00944767zbMath0741.33002OpenAlexW2058419266MaRDI QIDQ1180662

Alexander Apelblat

Publication date: 27 June 1992

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00944767

zbMATH Keywords

Kelvin functions

Mathematics Subject Classification ID

Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10)

Related Items (2)

A note on the order derivatives of Kelvin functions ⋮ Integral representation for Bessel's functions of the first kind and Neumann series

Cites Work

• Derivatives and integrals with respect to the order of the Struve functions \(H_{\nu}(x)\) and \(L_{\nu}(x)\)
• A SOLUTION OF THE NAVIER–STOKES EQUATIONS ILLUSTRATING THE RESPONSE OF A LAMINAR BOUNDARY LAYER TO A GIVEN CHANGE IN THE EXTERNAL STREAM VELOCITY
• Integral Representations of Derivatives and Integrals with Respect to the Order of the Bessel Functions J_v(t), I_v(t), the Anger Function J_v(t) and the Integral Bessel Function Ji_v(t)
• Stresses and Small Displacements of Shallow Spherical Shells. I
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