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Some Properties of Equations in Integers

Published online by Cambridge University Press:  20 November 2018

M. Faierman
M. Faierman*
Affiliation:
Loyola College, Montreal, Quebec
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In certain boundary value problems associated with two-parameter ordinary differential equations defined and having 2p, (p>1), turning points in a given interval, there arises certain equations in integers whose solutions determine the coefficients in the asymptotic expansions for the eigenvalues [1,2, 3, pp. 134-139].

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 15 , Issue 3 , September 1972 , pp. 359 - 362
Copyright
Copyright © Canadian Mathematical Society 1972

References

1. Faierman, M.,Asymptotic formulae for the eigenvalues of a two-parameter ordinary differential equation of the second order, Trans. Amer. Math. Soc. (to appear).Google Scholar
2. Strutt, M. J. O., Reelle eigenwerte verallgemeinerter Hillscher eigenwertaufgaben 2. ordnung, Math. Z. 49 (1943-44), 593-643.Google Scholar
3. Meixner, J. and Schäfke, F. W., Mathieusche Funktionen und Spharoidfunktionen, Springer-Verlag, Berlin, 1954.Google Scholar
4. Erdelyi, A., et al., Higher transcendental functions, Vol. II, McGraw-Hill, New York, 1953.Google Scholar