Gnu Scientific Library
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
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