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Further on the Points of Inflection of Bessel Functions

Published online by Cambridge University Press:  20 November 2018

Lee Lorch  and
Peter Szego
Lee Lorch
Affiliation:
Department of Mathematics and Statistics, York University, North York, Ontario M3J 1P3, e-mail:[email protected]
Peter Szego
Affiliation:
75 Glen Eyrie Avenue; Apt. 19, San Jose, California 95125, U.S.A
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Abstract

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We offer here a substantial simplification and shortening of a proof of the monotonicity of the abscissae of the points of inflection of Bessel functions of the first kind and positive order.

Keywords

33C10
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 39 , Issue 2 , 01 June 1996 , pp. 216 - 218
Copyright
Copyright © Canadian Mathematical Society 1996

References

1. Lorch, L. and Szego, P., On the points of inflection of B es sel functions of positive order, I, Canad. J. Math. 42(1990), 933–948; ibid., 1132.Google Scholar
2. Mercer, A. McD., The zeros of as a function of order, Internat. J. Math. Math. Sci. 15(1992), 319–322.Google Scholar
3. Watson, G. N., A Treatise on the Theory ofBessel Functions, 2nd éd., Cambridge University Press, 1944.Google Scholar
4. Wong, R. and Lang, T., On the points of inflection of Bessel functions of positive order, II, Canad. J. Math. 43(1991), 628–651.Google Scholar
5. Wong, R. and Lang, T., Asymptotic behaviour of the inflection points of Bessel functions, Proc. Royal Soc. London, Series A-Math. Phys. Sci. 431(1990), 509–518.Google Scholar