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.

Keywords for this software

Anything in here will be replaced on browsers that support the canvas element

References in zbMATH (referenced in 36 articles , 1 standard article )

Showing results 1 to 20 of 36.
Sorted by year (citations)

1 2 next

  1. Gatto, Paolo; Hesthaven, Jan S.: Numerical approximation of the fractional Laplacian via $hp$-finite elements, with an application to image denoising (2015)
  2. Bar-Lev, Shaul K.; Blanc, Hans; Boxma, Onno; Janssen, Guido; Perry, David: Tandem queues with impatient customers for blood screening procedures (2013)
  3. Erricolo, Danilo; Carluccio, Giuseppe: Algorithm 934, Fortran 90 subroutines to compute Mathieu functions for complex values of the parameter (2013)
  4. Shampine, L.F.: Efficient Filon method for oscillatory integrals (2013)
  5. Brambley, E.J.; Darau, M.; Rienstra, S.W.: The critical layer in linear-shear boundary layers over acoustic linings (2012)
  6. Brambley, E.J.; Davis, A.M.J.; Peake, N.: Eigenmodes of lined flow ducts with rigid splices (2012)
  7. 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)
  8. 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)
  9. Fang, Fang; Oosterlee, Cornelis W.: A Fourier-based valuation method for Bermudan and barrier options under Heston’s model (2011)
  10. Gil, Amparo; Segura, Javier; Temme, Nico M.: Basic methods for computing special functions (2011)
  11. Kodama, Masao: Algorithm 912: a module for calculating cylindrical functions of complex order and complex argument (2011)
  12. Kormanyos, Christopher: Algorithm 910: a portable C++ multiple-precision system for special-function calculations (2011)
  13. Britt, S.; Tsynkov, S.; Turkel, E.: A compact fourth order scheme for the Helmholtz equation in polar coordinates (2010)
  14. Xiao, Bin; Ma, Jian-Feng; Wang, Xuan: Image analysis by Bessel-Fourier moments (2010)
  15. Andrianov, Alexey I.; Hermans, Aad J.: Hydroelastic behavior of a floating ring-shaped plate (2006)
  16. Broadie, Mark; Kaya, Özgür: Exact simulation of stochastic volatility and other affine jump diffusion processes (2006)
  17. Song, Chongmin: Dynamic analysis of unbounded domains by a reduced set of base functions (2006)
  18. Van Deun, Joris; Cools, Ronald: A Matlab implementation of an algorithm for computing integrals of products of Bessel functions (2006)
  19. Van Deun, Joris; Cools, Ronald: Algorithm 858: Computing infinite range integrals of an arbitrary product of Bessel functions. (2006)
  20. Fabijonas, B.R.: Algorithm 838: Airy functions (2004)

1 2 next