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Original Articles

Computation of bessel functions of complex argument using their zeros

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Pages 64-72 | Published online: 19 Mar 2007

References

  • Tranter , C.J. 1968 . Bessel Functions with Some Physical Applications , London : The English Universities Press .
  • Stegun , I.A. and Abramowitz , M. 1957 . Generation of Bessel Functions on High Speed Computers . Math. Tables Aids Comput , 11 : 225 – 257 .
  • Amos , D.E. , Daniel , S.L. and Weston , M.K. 1977 . CDC 6600 subroutines IBESS and JBESS for Bessel Functions Iv (x) and Jv (x)x≧0v≧0 . ACM Trans. Math. Software , 3 : 76 – 92 .
  • Ardill , R.W.B. and Moriarty , K.J.M. 1977 . The Bessel Functions J 0 and J 1 of ComplexArgument . Comp. Physics Comm , 13 : 17 – 24 .
  • Watson , G.N. 1944 . Theory of Bessel Functions , Cambridge : Cambridge University Press . section 15.41
  • Royal Society Math. Tables . 1960 . Bessel Functions, Part III Zeros and Associated Values , Vol. 7 , Cambridge University Press .
  • Grad , J. and Zakrajsek , E. 1973 . Method for evaluation of zeros of Bessel functions . Jour.Inst. Maths. Applies , 11 : 57 – 72 .
  • Watson , G.N. 1944 . Theory of Bessel Functions , Cambridge : Cambridge University Press . section 15.51
  • Watson , G.N. 1944 . Theory of Bessel Functions , Cambridge : Cambridge University Press . section 15.6
  • Abramowitz , M. and Stegun , I.A. 1970 . Handbook of Mathematical Functions , Washington : U.S. Govt.Printing Office . chpts. 9, 10

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