Special functions (`cupyx.scipy.special`)#

Hint

Bessel functions#

`j0`	Bessel function of the first kind of order 0.
`j1`	Bessel function of the first kind of order 1.
`k0`	Modified Bessel function of the second kind of order 0.
`k0e`	Exponentially scaled modified Bessel function K of order 0
`k1`	Modified Bessel function of the second kind of order 1.
`k1e`	Exponentially scaled modified Bessel function K of order 1
`y0`	Bessel function of the second kind of order 0.
`y1`	Bessel function of the second kind of order 1.
`yn`	Bessel function of the second kind of order n.
`i0`	Modified Bessel function of order 0.
`i0e`	Exponentially scaled modified Bessel function of order 0.
`i1`	Modified Bessel function of order 1.
`i1e`	Exponentially scaled modified Bessel function of order 1.
`spherical_yn`(n, z[, derivative])	Spherical Bessel function of the second kind or its derivative.

See also

`bdtr`	Binomial distribution cumulative distribution function.
`bdtrc`	Binomial distribution survival function.
`bdtri`	Inverse function to bdtr with respect to p.
`btdtr`	Cumulative distribution function of the beta distribution.
`btdtri`	The p-th quantile of the beta distribution.
`fdtr`	F cumulative distribution function.
`fdtrc`	F survival function.
`fdtri`	The p-th quantile of the F-distribution.
`gdtr`	Gamma distribution cumulative distribution function.
`gdtrc`	Gamma distribution survival function.
`nbdtr`	Negative binomial distribution cumulative distribution function.
`nbdtrc`	Negative binomial distribution survival function.
`nbdtri`	Inverse function to nbdtr with respect to p.
`pdtr`	Poisson cumulative distribution function.
`pdtrc`	Binomial distribution survival function.
`pdtri`	Inverse function to pdtr with respect to m.
`chdtr`	Chi-square cumulative distribution function.
`chdtrc`	Chi square survival function.
`chdtri`	Inverse to chdtrc with respect to x.
`ndtr`	Cumulative distribution function of normal distribution.
`log_ndtr`	Logarithm of Gaussian cumulative distribution function.
`ndtri`	Inverse of the cumulative distribution function of the standard
`logit`	Logit function.
`expit`	Logistic sigmoid function (expit).
`log_expit`	Logarithm of the logistic sigmoid function.
`boxcox`	Compute the Box-Cox transformation.
`boxcox1p`	Compute the Box-Cox transformation op 1 + x.
`inv_boxcox`	Compute the Box-Cox transformation.
`inv_boxcox1p`	Compute the Box-Cox transformation op 1 + x.

`entr`	Elementwise function for computing entropy.
`rel_entr`	Elementwise function for computing relative entropy.
`kl_div`	Elementwise function for computing Kullback-Leibler divergence.
`huber`	Elementwise function for computing the Huber loss.
`pseudo_huber`	Elementwise function for computing the Pseudo-Huber loss.

ellipk ellipkm1 ellipj

`erf`	Error function.
`erfc`	Complementary error function.
`erfcx`	Scaled complementary error function.
`erfinv`	Inverse function of error function.
`erfcinv`	Inverse function of complementary error function.

`lpmv`	Associated Legendre function of integer order and real degree.
`sph_harm`	Spherical Harmonic.

`exp1`	Exponential integral E1.
`expi`	Exponential integral Ei.
`expn`	Generalized exponential integral En.
`exprel`	Computes `(exp(x) - 1) / x`.
`softmax`(x[, axis])	Softmax function.
`log_softmax`(x[, axis])	Compute logarithm of softmax function
`zeta`	Hurwitz zeta function.
`zetac`	Riemann zeta function minus 1.

`cbrt`	Cube root.
`exp10`	Computes `10**x`.
`exp2`	Computes `2**x`.
`radian`	Degrees, minutes, seconds to radians:
`cosdg`	Cosine of x with x in degrees.
`sindg`	Sine of x with x in degrees.
`tandg`	Tangent of x with x in degrees.
`cotdg`	Cotangent of x with x in degrees.
`log1p`	Elementwise function for scipy.special.log1p
`expm1`	Computes `exp(x) - 1`.
`cosm1`	Computes `cos(x) - 1`.
`round`(a[, decimals, out])
`xlogy`	Compute `x*log(y)` so that the result is 0 if `x = 0`.
`xlog1py`	Compute `x*log1p(y)` so that the result is 0 if `x = 0`.
`logsumexp`(a[, axis, b, keepdims, return_sign])	Compute the log of the sum of exponentials of input elements.
`sinc`(x, /[, out, casting, dtype])	Elementwise sinc function.

`gamma`	Gamma function.
`gammaln`	Logarithm of the absolute value of the Gamma function.
`loggamma`	Principal branch of the logarithm of the gamma function.
`gammainc`	Elementwise function for scipy.special.gammainc
`gammaincinv`	Elementwise function for scipy.special.gammaincinv
`gammaincc`	Elementwise function for scipy.special.gammaincc
`gammainccinv`	Elementwise function for scipy.special.gammainccinv
`beta`	Beta function.
`betaln`	Natural logarithm of absolute value of beta function.
`betainc`	Incomplete beta function.
`betaincinv`	Inverse of the incomplete beta function.
`psi`	The digamma function.
`rgamma`	Reciprocal gamma function.
`polygamma`(n, x)	Polygamma function n.
`multigammaln`(a, d)	Returns the log of multivariate gamma, also sometimes called the generalized gamma.
`digamma`	The digamma function.
`poch`	Elementwise function for scipy.special.poch (Pochhammer symbol)