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 34 articles , 1 standard article )

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  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. Britt, S.; Tsynkov, S.; Turkel, E.: A compact fourth order scheme for the Helmholtz equation in polar coordinates (2010)
  12. Xiao, Bin; Ma, Jian-Feng; Wang, Xuan: Image analysis by Bessel-Fourier moments (2010)
  13. Andrianov, Alexey I.; Hermans, Aad J.: Hydroelastic behavior of a floating ring-shaped plate (2006)
  14. Broadie, Mark; Kaya, Özgür: Exact simulation of stochastic volatility and other affine jump diffusion processes (2006)
  15. Song, Chongmin: Dynamic analysis of unbounded domains by a reduced set of base functions (2006)
  16. Van Deun, Joris; Cools, Ronald: A Matlab implementation of an algorithm for computing integrals of products of Bessel functions (2006)
  17. Van Deun, Joris; Cools, Ronald: Algorithm 858: Computing infinite range integrals of an arbitrary product of Bessel functions. (2006)
  18. Fabijonas, B.R.: Algorithm 838: Airy functions (2004)
  19. Fabijonas, B.R.; Lozier, D.W.; Olver, F.W.J.: Computation of complex Airy functions and their zeros using asymptotics and the differential equation (2004)
  20. Gil, Amparo; Segura, Javier; Temme, Nico M.: Computing special functions by using quadrature rules (2003)

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