COMPUTING ZEROS AND ORDERS OF BESSEL-FUNCTIONS

[摘要] We consider computing a prescribed number of smallest positive zeros of Bessel functions and of their derivatives of a prescribed order within a prescribed relative error. We also consider an inverse problem of computing the order of the Bessel function that has a zero of a prescribed order at a prescribed positive value. The case of Bessel functions of real noninteger order less than - 1 is also discussed. Our emphasis in this paper is on algorithm construction and convergence analysis that will be needed for the construction of software for solving the stated problems.

[发布日期] 1991-12-23

[效力级别]  Proceedings Paper

[关键词] BESSEL FUNCTION;ZEROS;COMPACT MATRIX OPERATOR;EIGENVALUE PROBLEM;NEWTON METHOD