将来 Fortran 規格に加わるかもしれない特殊関数のリストが出ています。
ftp://ftp.nag.co.uk/sc22wg5/N1901-N1950/N1921.pdf
ftp://ftp.nag.co.uk/sc22wg5/N1651-N1700/N1688.pdf
オイラーの常数、ベッセル関数、ルジャンドル関数等、物理数学の教科書に出てくるような常数や特殊関数が並んでいます。
- Euler's constant
- ASSOC LAGUERRE (N, M, X) Associated Laguerre polynomials
- ASSOC LEGENDRE (L, M, X) Associated Legendre Polynomials
- BETA (X, Y) Beta function
- CYL BESSEL I (NU, X) Regular modi ed cylindrical Bessel function.
- CYL BESSEL I (NU, X, N) Regular modi ed cylindrical Bessel function.
- CYL BESSEL J (NU, X) Cylindrical Bessel function.
- CYL BESSEL J (NU, X, N) Cylindrical Bessel function.
- CYL BESSEL K (NU, X) Irregular modi ed cylindrical Bessel function.
- CYL BESSEL K (NU, X, N) Irregular modi ed cylindrical Bessel function.
- CYL NEUMANN (NU, X) Cylindrical Neumann function.
- CYL NEUMANN (NU, X, N) Cylindrical Neumann function.
- ELLINT 1 (K ) Complete elliptic integral of the rst kind
- ELLINT 1 (K, PHI) Incomplete elliptic integral of the rst kind
- ELLINT 2 (K ) Complete elliptic integral of the second kind
- ELLINT 2 (K, PHI) Incomplete elliptic integral of the second kind
- ELLINT 3 (K, NU ) Complete elliptic integral of the third kind
- ELLINT 3 (K, NU, PHI) Complete elliptic integral of the third kind
- EIN (X) Entire exponential integral
- EXPINT (X) Exponential integral
- HERMITE (N, X) Hermite polynomials
- LAGUERRE (N, X) Laguerre polynomials
- LEGENDRE (N, X) Legendre polynomials
- RIEMANN ZETA (X) Riemann zeta function
- SPH BESSEL (N, X) Spherical Bessel function of the rst kind
- SPH BESSEL (N, X, N) Spherical Bessel function of the rst kind
- SPH LEGENDRE (L, M, THETA) Spherical associated Legendre function
- SPH NEUMANN (N, X) Spherical Neumann function
- SPH NEUMANN (N, X, N) Spherical Neumann function
- CHEBYSHEV (N, X) or CHEBYSHEV (N1, N2, X)
- CI (X)
- CIN (X)
- DAW (X)
- ERFCI (X)
- ERFI (X)
- FRESNEL_C (X)
- FRESNEL_S (X)
- INCOMPLETE GAMMA RATIOS (NU, X, P, Q)
- SI (X)
