Inequalities involving cylindrical functions

Curtz, T. B.; Siegel, K. M.

doi:10.1090/S0002-9939-1955-0072994-0

Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

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Inequalities involving cylindrical functions
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by T. B. Curtz and K. M. Siegel

Proc. Amer. Math. Soc. 6 (1955), 823-827

DOI: https://doi.org/10.1090/S0002-9939-1955-0072994-0

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References

G. N. Watson, A Treatise on the Theory of Bessel Functions, Cambridge University Press, Cambridge, England; The Macmillan Company, New York, 1944. MR 0010746
Keeve M. Siegel, An inequality involving Bessel functions of argument nearly equal to their order, Proc. Amer. Math. Soc. 4 (1953), 858–859. MR 58775, DOI 10.1090/S0002-9939-1953-0058775-0
K. M. Siegel and F. B. Sleator, Inequalities involving cylindrical functions of nearly equal argument and order, Proc. Amer. Math. Soc. 5 (1954), 337–344. MR 62287, DOI 10.1090/S0002-9939-1954-0062287-9