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Special Function
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Special Function
Gamma function
Gamma function
Gamma function
Gamma function (chart)
Gamma function (chart)
Reciprocal gamma function (chart)
Reciprocal gamma function (chart)
Incomplete gamma function
Incomplete gamma function
Log gamma function
Log gamma function
Polygamma function
Polygamma function
Beta function
Beta function
Beta function
Incomplete beta function
Incomplete beta function
Incomplete beta function (chart)
Incomplete beta function (chart)
Inverse incomplete beta function
Inverse incomplete beta function
Zeta function
Zeta function
Zeta function
Zeta function (chart)
Zeta function (chart)
Dirichlet Eta function
Dirichlet Eta function
Dirichlet Eta function (chart)
Dirichlet Eta function (chart)
Bessel function
Bessel function
Bessel function
Bessel function (zeros)
Bessel function (zeros)
Bessel function of the 1st kind (chart)
Bessel function of the 1st kind (chart)
Bessel function of the 2nd kind (chart)
Bessel function of the 2nd kind (chart)
Modified Bessel function
Modified Bessel function
Modified Bessel function of the 1st kind (chart)
Modified Bessel function of the 1st kind (chart)
Modified Bessel function of the 2nd kind (chart)
Modified Bessel function of the 2nd kind (chart)
Hankel function
Hankel function
Hankel function (chart)
Hankel function (chart)
Spherical bessel function
Spherical Bessel function
Spherical Bessel function
Spherical Bessel function (zeros)
Spherical Bessel function (zeros)
Spherical Bessel function of the 1st kind (chart)
Spherical Bessel function of the 1st kind (chart)
Spherical Bessel function of the 2nd kind (chart)
Spherical Bessel function of the 2nd kind (chart)
Modified spherical Bessel function
Modified spherical Bessel function
Modified spherical Bessel function of the 1st kind (chart)
Modified spherical Bessel function of the 1st kind (chart)
Modified spherical Bessel function of the 2nd kind (chart)
Modified spherical Bessel function of the 2nd kind (chart)
Spherical Hankel function
Spherical Hankel function
Spherical Hankel function (chart)
Spherical Hankel function (chart)
Airy function
Airy function
Airy function
Airy function (zeros)
Airy function (zeros)
Airy function (chart)
Airy function (chart)
Derivative Airy function
Derivative Airy function
Derivative Airy function (zeros)
Derivative Airy function (zeros)
Derivative Airy function (chart)
Derivative Airy function (chart)
Kelvin function
Kelvin function of the 1st kind
Kelvin function of the 1st kind
Kelvin function of the 1st kind (chart)
Kelvin function of the 1st kind (chart)
Derivative Kelvin function of the 1st kind (chart)
Derivative Kelvin function of the 1st kind (chart)
Kelvin function of the 2nd kind
Kelvin function of the 2nd kind
Kelvin function of the 2nd kind (chart)
Kelvin function of the 2nd kind (chart)
Derivative Kelvin function of the 2nd kind (chart)
Derivative Kelvin function of the 2nd kind (chart)
Kelvin function of the 3rd kind
Kelvin function of the 3rd kind
Kelvin function of the 3rd kind (chart)
Kelvin function of the 3rd kind (chart)
Derivative Kelvin function of the 3rd kind (chart)
Derivative Kelvin function of the 3rd kind (chart)
Struve function
Struve function
Struve function
Struve function (chart)
Struve function (chart)
Modified Struve function
Modified Struve function
Modified Struve function (chart)
Modified Struve function (chart)
Error function
Error function
Error function
Error function (chart)
Error function (chart)
Inverse error function
Inverse error function
Legendre function
Legendre function
Legendre function
Associated Legendre function
Associated Legendre function
Bernoulli number
Bernoulli number
Bernoulli number
Bernoulli number (chart)
Bernoulli number (chart)
Euler number
Euler number
Stirling number
Stirling number of the 1st kind
Stirling number of the 1st kind
Stirling number of the 1st kind (table)
Stirling number of the 1st kind (table)
Stirling number of the 2nd kind
Stirling number of the 2nd kind
Stirling numbers of the 2nd kind (table)
Stirling numbers of the 2nd kind (table)
Fibonacci sequence
Fibonacci sequence
Fibonacci sequence
Fibonacci sequence (chart)
Fibonacci sequence (chart)
Fibonacci function (chart)
Fibonacci function (chart)
Double factorial
Double factorial
Double factorial
Double factorial (chart)
Double factorial (chart)
Pochhammer function
Pochhammer function
Pochhammer function
Pochhammer function (chart)
Pochhammer function (chart)
Brillouin function
Brillouin function
Brillouin function
Langevin function
Langevin function
Brillouin function (chart)
Brillouin function (chart)
Langevin function (chart)
Langevin function (chart)
Activation function
Sigmoid function
Sigmoid function
Derivative Sigmoid function
Derivative Sigmoid function
Second Derivative Sigmoid function
Second Derivative Sigmoid function
Sigmoid function (chart)
Sigmoid function (chart)
Softsign function
Softsign function
Derivative Softsign function
Derivative Softsign function
Softsign function (chart)
Softsign function (chart)
Softplus function
Softplus function
Derivative Softplus function
Derivative Softplus function
Softplus function (chart)
Softplus function (chart)
Softmax function
Softmax function
ReLU
ReLU
ReLU (chart)
ReLU (chart)
Leaky ReLU
Leaky ReLU
Leaky ReLU (chart)
Leaky ReLU (chart)
tanh(x) function
tanh(x) function
Derivative tanh(x) function
Derivative tanh(x) function
Second Derivative tanh(x) function
Second Derivative tanh(x) function
tanh(x) function (chart)
tanh(x) function (chart)
Exponential integral
Exponential integral En(x)
Exponential integral En(x)
Exponential integral En(x) (chart)
Exponential integral En(x) (chart)
Exponential integral Ei(x)
Exponential integral Ei(x)
Exponential integral Ei(x) (chart)
Exponential integral Ei(x) (chart)
Logarithmic integral li(x)
Logarithmic integral li(x)
Logarithmic integral li(x) (chart)
Logarithmic integral li(x) (chart)
Sine integral Si(x)
Sine integral Si(x)
Cosine integral Ci(x)
Cosine integral Ci(x)
Sine and cosine integral Si(x),Ci(x) (chart)
Sine and cosine integral Si(x),Ci(x) (chart)
Hyperbolic sine integral Shi(x)
Hyperbolic sine integral Shi(x)
Hyperbolic cosine integral Chi(x)
Hyperbolic cosine integral Chi(x)
Hyperbolic integral Shi(x),Chi(x) (chart)
Hyperbolic integral Shi(x),Chi(x) (chart)
Fresnel integral
Fresnel sine integral S(x)
Fresnel sine integral S(x)
Fresnel cosine integral C(x)
Fresnel cosine integral C(x)
Fresnel integral S(x),C(x) (chart)
Fresnel integral S(x),C(x) (chart)
Elliptic integral
Complete elliptic integral of the 1st kind K(k)
Complete elliptic integral of the 1st kind K(k)
Complete elliptic integral of the 2nd kind E(k)
Complete elliptic integral of the 2nd kind E(k)
Complete elliptic integral K(k),E(k) (chart)
Complete elliptic integral K(k),E(k) (chart)
Complete elliptic integral of the 3rd kind Π(n,k)
Complete elliptic integral of the 3rd kind Π(n,k)
Incomplete elliptic integral of the 1st kind F(x,k)
Incomplete elliptic integral of the 1st kind F(x,k)
Incomplete elliptic integral of the 1st kind F(φ,k)
Incomplete elliptic integral of the 1st kind F(φ,k)
Incomplete elliptic integral of the 2nd kind E(x,k)
Incomplete elliptic integral of the 2nd kind E(x,k)
Incomplete elliptic integral of the 2nd kind E(φ,k)
Incomplete elliptic integral of the 2nd kind E(φ,k)
Incomplete elliptic integral of the 3rd kind Π(x,n,k)
Incomplete elliptic integral of the 3rd kind Π(x,n,k)
Incomplete elliptic integral of the 3rd kind Π(φ,n,k)
Incomplete elliptic integral of the 3rd kind Π(φ,n,k)
Elliptic function
Jacobi elliptic function sn(u,k)
Jacobi elliptic function sn(u,k)
Jacobi elliptic function cn(u,k)
Jacobi elliptic function cn(u,k)
Jacobi elliptic function dn(u,k)
Jacobi elliptic function dn(u,k)
Jacobi elliptic function sn,cn,dn (chart)
Jacobi elliptic function sn,cn,dn (chart)
Jacobi amplitude function am(u,k)
Jacobi amplitude function am(u,k)
Jacobi amplitude function am(u,k) (chart)
Jacobi amplitude function am(u,k) (chart)
Inverse Jacobi elliptic arcsn(x,k)
Inverse Jacobi elliptic arcsn(x,k)
Inverse Jacobi elliptic arccn(x,k)
Inverse Jacobi elliptic arccn(x,k)
Inverse Jacobi elliptic arcdn(x,k)
Inverse Jacobi elliptic arcdn(x,k)
Orthogonal polynomial
Hermite polynomial (chart)
Hermite polynomial (chart)
Legendre polynomial (chart)
Legendre polynomial (chart)
Associated Legendre polynomial (chart)
Associated Legendre polynomial (chart)
Chebyshev polynomial of the 1st kind (chart)
Chebyshev polynomial of the 1st kind (chart)
Chebyshev polynomial of the 2nd kind (chart)
Chebyshev polynomial of the 2nd kind (chart)
Laguerre polynomial (chart)
Laguerre polynomial (chart)
Associated Laguerre polynomial (chart)
Associated Laguerre polynomial (chart)
Gegenbauer polynomial (chart)
Gegenbauer polynomial (chart)
Jacobi polynomial (chart)
Jacobi polynomial (chart)
Spherical harmonics
Spherical harmonics
Spherical harmonics (chart)
Spherical harmonics (chart)
Hypergeometric function
Gaussian hypergeometric function
Gaussian hypergeometric function
Confluent hypergeometric function of the first kind
Confluent hypergeometric function of the first kind
Confluent hypergeometric function of the second kind
Confluent hypergeometric function of the second kind
Whittaker function of the first kind
Whittaker function of the first kind
Whittaker function of the first kind (chart)
Whittaker function of the first kind (chart)
Whittaker function of the second kind
Whittaker function of the second kind
Whittaker function of the second kind (chart)
Whittaker function of the second kind (chart)
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