Inequalities involving cylindrical functions of nearly equal argument and order

Authors:
K. M. Siegel and F. B. Sleator

Journal:
Proc. Amer. Math. Soc. **5** (1954), 337-344

MSC:
Primary 33.0X

DOI:
https://doi.org/10.1090/S0002-9939-1954-0062287-9

MathSciNet review:
0062287

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**[1]**Keeve M. Siegel,*An inequality involving Bessel functions of argument nearly equal to their order*, Proc. Amer. Math. Soc.**4**(1953), 858–859. MR**0058775**, https://doi.org/10.1090/S0002-9939-1953-0058775-0**[2]**G. N. Watson,*A treatise on the theory of Bessel functions*, Cambridge Mathematical Library, Cambridge University Press, Cambridge, 1995. Reprint of the second (1944) edition. MR**1349110****[3]**Wilhelm Magnus and Fritz Oberhettinger,*Formulas and Theorems for the Special Functions of Mathematical Physics*, Chelsea Publishing Company, New York, N.Y., 1949. Translated by John Wermer. MR**0029000****[4]**E. T. Whittaker and G. N. Watson,*A course of modern analysis*, Cambridge Mathematical Library, Cambridge University Press, Cambridge, 1996. An introduction to the general theory of infinite processes and of analytic functions; with an account of the principal transcendental functions; Reprint of the fourth (1927) edition. MR**1424469**

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DOI:
https://doi.org/10.1090/S0002-9939-1954-0062287-9

Article copyright:
© Copyright 1954
American Mathematical Society