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On some solutions of second order hyperbolic differential equations with constant coefficients

Published online by Cambridge University Press:  18 May 2009

J. S. Lowndes
J. S. Lowndes
Affiliation:
Department of Mathematics, University of Strathclyde, Glasgow G1 1XH
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If we seek solutions of the hyperbolic differential equation

which depend only on the variables i and , we see that these solutions must be even in r and satisfy the differential equation

The object of this paper is to show that some recent results in the fractional calculus can be used to prove the following theorem.

Information

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 29 , Issue 1 , January 1987 , pp. 69 - 72
Copyright
Copyright © Glasgow Mathematical Journal Trust 1987

References

REFERENCES

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3.Magnus, W., Oberhettinger, F. and Soni, R. P., Formulas and theorems for the special functions of mathematical physics, 3rd. ed. (Springer-Verlag, 1966).CrossRefGoogle Scholar