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Integral Equations Satisfied by Lamé-Wangerin Functions
Published online by Cambridge University Press: 20 January 2009
Summary
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Integral equations are obtained with nuclei (l — zt/a)2n and (z–t)2n which are satisfied by characteristic solutions of the transformed Lamé-Wangerin equation of order n, and each of the two characteristic solutions is expressed in terms of the other by a contour integral.
- Type
- Research Article
- Information
- Proceedings of the Edinburgh Mathematical Society , Volume 10 , Issue 2 , December 1954 , pp. 71 - 75
- Copyright
- Copyright © Edinburgh Mathematical Society 1954
References
Page 71 note 1 Halphen, G. H., Traité des Fonctioni Elliptiques (Paris, 1888), t.2, p. 471.Google ScholarWhittaker and Watson, Modern Analysis (Cambridge, 1920, 3rd ed.), §§ 23–7.Google Scholar
Page 72 note 1 Lambé, C. G. and Ward, D. R., Quart. J. of Math. (Oxford), 5 (1934), 81Google Scholar and Erdélyi, A., Quart. J. Math. (Oxford), 13 (1942), 107.Google Scholar
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