The Ultimate GNU Scientific Library Dog Breeds Information Guide and Reference

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GNU Scientific Library is a library in the C programming language for mathematics and science, distributed under the GNU GPL.

It provides facilities for:

Basic mathematical functions
Complex numbers
Polynomials
Special functions
- Airy functions and derivatives
  - Airy functions
  - Derivatives of Airy functions
  - Zeros of Airy functions
  - Zeros of derivatives of Airy functions
- Bessel functions
  - Regular cylindrical Bessel functions
  - Irregular cylindrical Bessel functions
  - Regular modified cylindrical Bessel functions
  - Irregular modified cylindrical Bessel functions
  - Regular spherical Bessel functions
  - Irregular spherical Bessel functions
  - Regular modified spherical Bessel functions
  - Irregular modified spherical Bessel functions
  - Regular Bessel function - fractional order
  - Irregular Bessel functions - fractional order
  - Regular modified Bessel functions - fractional order
  - Irregular modified Bessel functions - fractional order
  - Zeros of regular Bessel functions
- Clausen functions
- Coulomb functions
  - Normalized hydrogenic bound states
  - Coulomb wave functions
  - Coulomb wave function normalization constant
- Coupling coefficients
  - 3-j symbols
  - 6-j symbols
  - 9-j symbols
- Dawson function
- Debye functions
- Dilogarithm
- Elementary operations
- Elliptic integrals
  - Definition of Legendre forms
  - Definition of Carlson forms
  - Legendre form of complete elliptic integrals
  - Legendre form of incomplete elliptic integrals
  - Carlson forms
- Elliptic functions (Jacobi)
- Error functions
  - Error function
  - Complementary error function
  - Log complementary error function
  - Probability functions
- Exponential functions
  - Exponential function
  - Relative exponential functions
  - Exponentiation with error estimate
- Exponential integrals
  - Exponential integral
  - Ei(x)
  - Hyperbolic integrals
  - Ei_3(x)
  - Trigonometric integrals
  - Arctangent integral
- Fermi-Dirac function
  - Complete Fermi-Dirac integrals
  - Incomplete Fermi-Dirac integrals
- Gamma function
- Gegenbauer functions
- Hypergeometric functions
- Laguerre functions
- Lambert W functions
- Legendre functions and spherical harmonics
  - Legendre polynomials
  - Associated Legendre polynomials and spherical harmonics
  - Conical functions
  - Radial functions for hyperbolic space
- Logarithm and related functions
- Power function
- Psi (Digamma) function
  - Digamma function
  - Trigamma function
  - Polygamma function
- Synchrotron functions
- Transport functions
- Trigonometric functions
  - Circular Trigonometric functions
  - Trigonometric functions for complex arguments
  - Hyperbolic Trigonometric functions
  - Conversion functions
  - Restriction functions
  - Trigonometric functions with error estimates
- Zeta functions
  - Riemann Zeta function
  - Riemann Zeta function minus one
  - Hurwitz Zeta function
  - Eta function
Vectors and Matrices
Permutations
Combinations
Sorting
BLAS
Linear algebra
Eigensystems
Fast Fourier Transforms
Numerical integration
Random number generation
Quasi-random sequences
Random number distributions
- Gaussian distribution
- Gaussian tail distribution
- Bivariate Gaussian distribution
- Exponential distribution
- Laplace distribution
- Exponential power distribution
- Cauchy distribution
- Rayleigh distribution
- Rayleigh tail distribution
- Landau distribution
- Levy alpha-stable distributions
- Levy skew alpha-stable distribution
- Gamma distribution
- Flat (Uniform) distribution
- Lognormal distribution
- Chi-squared distribution
- F-distribution
- t-distribution
- Beta distribution
- Logistic distribution
- Pareto distribution
- Spherical vector distributions
- Weibull distribution
- Type-1 Gumbel distribution
- Type-2 Gumbel distribution
- Dirichlet distribution
- General discrete distributions
- Poisson distribution
- Bernoulli distribution
- Binomial distribution
- Multinomial distribution
- Negative binomial distribution
- Pascal distribution
- Geometric distribution
- Hypergeometric distribution
- Logarithmic distribution
Statistics
Histograms
N-tuples
Monte Carlo integration
Simulated Annealing
Ordinary differential equations
Interpolation
Numerical differentiation
Chebyshev approximations
Series acceleration
Discrete Hankel Transforms
One dimensional root-finding
One dimensional minimization
Multidimensional root-finding
Multidimensional minimization
Least-squares fitting
Nonlinear least-squares fitting
Physical constants
IEEE floating-point arithmetic

External links

GSL manual

Categories: Special functions | C libraries | GNU project software