Algorithm 644

Algorithm 644: A portable package for Bessel functions of a complex argument and nonnegative order. This algorithm is a package of subroutines for Computing Bessel functions Hv(1)(z), Hv(2)(z), Iv(z), Jv(z), Kv(z), Yv(z) and Airy functions Ai(z), Ai′(z), Bi(z), Bi′(z) for ordersv≥0 and complex z in −&pgr;<arg z≤&pgr;. Eight callable subroutines and their double-precision counterparts are provided. Exponential scaling and sequence generation are auxiliary options.

This software is also peer reviewed by journal TOMS.

References in zbMATH (referenced in 46 articles , 1 standard article )

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  1. Beebe, Nelson H. F.: The mathematical-function computation handbook. Programming using the MathCW portable software library (2017)
  2. Dunster, T.M.; Gil, A.; Segura, J.: Computation of asymptotic expansions of turning point problems via Cauchy’s integral formula: Bessel functions (2017)
  3. Horsley, David E.: Bessel phase functions: calculation and application (2017)
  4. Jankov Maširević, Dragana: On new formulas for the cumulative distribution function of the noncentral chi-square distribution (2017)
  5. Gatto, Paolo; Hesthaven, Jan S.: Numerical approximation of the fractional Laplacian via $hp$-finite elements, with an application to image denoising (2015)
  6. Yarman, Can Evren; Flagg, Garret M.: Generalization of Padé approximation from rational functions to arbitrary analytic functions -- theory (2015)
  7. Bar-Lev, Shaul K.; Blanc, Hans; Boxma, Onno; Janssen, Guido; Perry, David: Tandem queues with impatient customers for blood screening procedures (2013)
  8. Erricolo, Danilo; Carluccio, Giuseppe: Algorithm 934, Fortran 90 subroutines to compute Mathieu functions for complex values of the parameter (2013)
  9. Shampine, L.F.: Efficient Filon method for oscillatory integrals (2013)
  10. Brambley, E.J.; Darau, M.; Rienstra, S.W.: The critical layer in linear-shear boundary layers over acoustic linings (2012)
  11. Brambley, E.J.; Davis, A.M.J.; Peake, N.: Eigenmodes of lined flow ducts with rigid splices (2012)
  12. Gil, Amparo; Segura, Javier: Computing the real zeros of cylinder functions and the roots of the equation $x\cal C_\nu'(x)+\gamma\cal C_\nu(x)=0$. (2012)
  13. Veling, E.J.M.: Radial transport in a porous medium with Dirichlet, Neumann and Robin-type inhomogeneous boundary values and general initial data: analytical solution and evaluation (2012)
  14. Fang, Fang; Oosterlee, Cornelis W.: A Fourier-based valuation method for Bermudan and barrier options under Heston’s model (2011)
  15. Gil, Amparo; Segura, Javier; Temme, Nico M.: Basic methods for computing special functions (2011)
  16. Kodama, Masao: Algorithm 912: A module for calculating cylindrical functions of complex order and complex argument (2011)
  17. Kormanyos, Christopher: Algorithm 910: A portable C++ multiple-precision system for special-function calculations (2011)
  18. Britt, S.; Tsynkov, S.; Turkel, E.: A compact fourth order scheme for the Helmholtz equation in polar coordinates (2010)
  19. Xiao, Bin; Ma, Jian-Feng; Wang, Xuan: Image analysis by Bessel-Fourier moments (2010)
  20. Huang, Junqi; Wood, Aihua W.; Havrilla, Michael J.: A hybrid finite element-Laplace transform method for the analysis of transient electromagnetic scattering by an over-filled cavity in the ground plane (2009)

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