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On the Points of Inflection of Bessel Functions of Positive Order, I

Published online by Cambridge University Press:  20 November 2018

Lee Lorch  and
Peter Szego
Lee Lorch
Affiliation:
York University, North York, OntarioM3J 1P3
Peter Szego
Affiliation:
75 Glen Eyrie Avenue, San Jose California 95125, U. S. A.
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The primary concern addressed here is the variation with respect to the order v > 0 of the zeros jʺvk of fixed rank of the second derivative of the Bessel function Jv(x) of the first kind. It is shown that jʺv1 increases 0 < v < ∞ (Theorem 4.1) and that jʺvk increases in 0 < v ≤ 3838 for fixed k = 2, 3,… (Theorem 10.1).

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 42 , Issue 5 , 01 October 1990 , pp. 933 - 948
Copyright
Copyright © Canadian Mathematical Society 1990

References

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