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specfun.f

Special functions specfun.f from SciPy.

Background and Project Aim

The SciPy project rewrote specfun in C/C++ and deleted it (last commit for specfun.f ), then further rewrote it as a header-only C++ library (scipy/xsf).

  • This project aims to keep the original CoSF specfun.f version as a reference for testing purposes.
  • This project does not accept any modifications for precision, errors, etc.
  • This project will add algorithms that are only given in the CoSF book, but not included with specfun.f.
  • For a refactored version using modern fortran, see: jacobwilliams/specfun

Missing functions

C
C       -----------------------
C        5.  BESSEL FUNCTIONS
C       -----------------------
C
C           CJY01(Z,  CBJ0,CDJ0,CBJ1,CDJ1, CBY0,CDY0,CBY1,CDY1):
C                   Compute complex Bessel Functions J0(z), J1(z),
C                   Y0(z), Y1(z), and their derivatives
C           CJYNA(N,Z,NM,  CBJ,CDJ,CBY,CDY)
C                   Compute Bessel functions Jn(z) and Yn(z) and
C                   their derivatives for a complex argument
C
C       ------------------------------------
C        8.  SPHERICAL BESSEL FUNCTIONS
C       ------------------------------------
C
C           CSPHJY(N,Z,NM,  CSJ,CDJ,CSY,CDY)
C                   Compute spherical Bessel functions and their
C                   derivatives with a complex argument
C           CSPHIK(N,Z,NM,  CSI,CDI,CSK,CDK)
C                   Compute modified spherical Bessel functions
C                   and their derivatives with a complex argument
C
C       -----------------------
C        11. STRUVE FUNCTIONS
C       -----------------------
C
C           STVH0(X,SHO):     Compute struve function H0(x)
C           STVH1(X,SH1):     Compute:struve function H1(x)
C           STVHV(V,X,HV):    Compute struve function Hv(x) with
C                 arbitrary order v ( -8.0 ≤ v ≤ 12.5 )
C           STVL0(X,SL0):     Compute modified struve function L0(x)
C           STVL1(X,SL1):     Compute modified struve function L1(x)
C           STVLV(V,X,SLV):   Compute modified struve function Lv(x)
C

License

C       SPDX-License-Identifier: BSD-3-Clause
C       COMPUTATION OF SPECIAL FUNCTIONS
C
C          Shanjie Zhang and Jianming Jin
C
C       Copyrighted but permission granted to use code in programs.
C       Buy their book "Computation of Special Functions", 1996, John Wiley & Sons, Inc.