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Zbl 0882.34034
Zafiropoulos, F.A.; Grapsa, T.N.; Ragos, O.; Vrahatis, M.N.
On the computation of zeros of Bessel- and Bessel related functions. (English)
[A] Bainov, D. (ed.), Proceedings of the sixth international colloquium on differential equations, Plovdiv, Bulgaria, August 18--23, 1995. Zeist: VSP. 409-416 (1996). ISBN 90-6764-203-7/hbk

Summary: Topological degree theory is employed for the localization and isolation of zeros of Bessel, Airy and Coulomb functions. Specifically, Picard extension, Kronecker integral and Kearfott's degree computation method are used for the calculation of the total number of these zeros in a predetermined region and for their isolation. Then, a modified bisection method is applied for the computation of these zeros, requiring only the algebraic signs of the considered function. Numerical examples are presented.

MSC 2000:: *34B30 Special ODE
33C10 Cylinder functions, etc.

Keywords: bounds of zeros; CP-criterion; topological degree; Bessel, Airy and Coulomb functions; Picard extension; Kronecker integral; Kearfott's degree

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