On the Points of Inflection of Bessel Functions of Positive Order, I
Canadian journal of mathematics, Tome 42 (1990) no. 5, pp. 933-948

Voir la notice de l'article provenant de la source Cambridge University Press

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 J v (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).
Lorch, Lee; Szego, Peter. On the Points of Inflection of Bessel Functions of Positive Order, I. Canadian journal of mathematics, Tome 42 (1990) no. 5, pp. 933-948. doi: 10.4153/CJM-1990-049-x
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