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XXIII.—On a Class of Partial Differential Equations

Published online by Cambridge University Press:  15 September 2014

E. L. Ince
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Extract

In but a few cases are solutions of equations of the type

known, and even in the simplest cases the most general of the known solutions suffers from the disadvantage of being in a symbolic form. The equations to be studied in the present paper are those which can be derived from

by a change in the independent variable. This equation is the one which most naturally claims the attention of the investigator, after the equation of wave-motion

has been disposed of.

Type
Proceedings
Information
Proceedings of the Royal Society of Edinburgh , Volume 44 , 1925 , pp. 242 - 247
Copyright
Copyright © Royal Society of Edinburgh 1925

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References

page 242 note * Ince, , Proc. Lond. Math. Soc. (2), xxii (1922), p. 37.Google Scholar

page 245 note * Whittaker and Watson, Modern Analysis, § 16.5.

page 246 note * Whittaker and Watson, chap. xvi.