A series expansion for the first positive zero of the bessel functions

Mathematics of Computation

Volumn 42, Issue 165, 1984, Pages 195-197

  Piessens, R ^a  

^a UNIVERSITY OF LEUVEN   (Belgium)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84968469802     PISSN: 00255718     EISSN: None     Source Type: Journal    
DOI: 10.1090/S0025-5718-1984-0725995-7     Document Type: Article

References (9)

1. M. Abramowitz, I. Stegun, Handbook of Mathematical Functions, Dover, New York, 1965.
2. M. Branders, R. Piessens, M. De Meue, Rational approximations for zeros of Bessel functions, J. Comput. Phys., 42, 1981, 403-405.
3. A. Cayley, Addition to Lord Rayleighs paper On the numerical calculation of the roots offluctuating functions, Proc. London Math. Soc, 5, 123-124.
4. L.G. Chambers, An upper bound for the first zero of Bessel functions, Math. Comp., 38, 1982, 589-591.
5. A.C. Hearn, REDUCE 2A System and Language for Algebraic Manipulation, Proc. SecondSympos. on Symbolic and Algebraic Manipulation, Los Angeles, 1971, 128-133.
6. F.W.J. Olver, Royal Society Mathematical Tables, 7, Bessel Functions. . Zeros andAssociated Values, The University Press, Cambridge, 1960.
7. N.M. Temme, An algorithm with ALGOL 60 program for the computation of the zeros of ordinaryBessel functions and those of their derivatives, J. Comput. Phys., 32, 1979, 270-279.
8. F.G. Tricomi, Vorlesungen uber Orthogonalreihen, Springer Verlag, Berlin, 1955.
9. G. N. Watson, A Treatise on the Theory of Bessel Functions, The University Press, Cambridge, 1944.