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Exact solution to a class of functional difference equations with application to a moving contact line flow

Published online by Cambridge University Press:  26 September 2008

J. B. Lawrie  and
A. C. King
J. B. Lawrie
Affiliation:
Department of Mathematics and Statistics, Brunel University, Uxbridge, Middlesex UB8 3PH, UK
A. C. King
Affiliation:
Department of Mathematics, Keele University, Keele, Staffs ST5 5BG, UK
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Abstract

A new integral representation for the Barnes double gamma function is derived. This is canonical in the sense that solutions to a class of functional difference equations of first order with trigonometrical coefficients can be expressed in terms of the Barnes function. The integral representation given here makes these solutions very simple to compute. Several well-known difference equations are solved by this method, and a treatment of the linear theory for moving contact line flow in an inviscid fluid wedge is given.

Information

Type
Research Article
Information
European Journal of Applied Mathematics , Volume 5 , Issue 2 , June 1994 , pp. 141 - 157
Copyright
Copyright © Cambridge University Press 1994

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