Special Functions

Information Theory functions

mars.tensor.special.entr	Elementwise function for computing entropy.
mars.tensor.special.rel_entr	Elementwise function for computing relative entropy.

Bessel functions

mars.tensor.special.jv	Bessel function of the first kind of real order and complex argument.
mars.tensor.special.jve	Exponentially scaled Bessel function of order v.
mars.tensor.special.yn	Bessel function of the second kind of integer order and real argument.
mars.tensor.special.yv	Bessel function of the second kind of real order and complex argument.
mars.tensor.special.yve	Exponentially scaled Bessel function of the second kind of real order.
mars.tensor.special.kn	Modified Bessel function of the second kind of integer order n
mars.tensor.special.kv	Modified Bessel function of the second kind of real order v
mars.tensor.special.kve	Exponentially scaled modified Bessel function of the second kind.
mars.tensor.special.iv	Modified Bessel function of the first kind of real order.
mars.tensor.special.ive	Exponentially scaled modified Bessel function of the first kind
mars.tensor.special.hankel1	Hankel function of the first kind
mars.tensor.special.hankel1e	Exponentially scaled Hankel function of the first kind
mars.tensor.special.hankel2	Hankel function of the second kind
mars.tensor.special.hankel2e	Exponentially scaled Hankel function of the second kind

Error function

mars.tensor.special.erf

Returns the error function of complex argument.

Gamma and related functions

mars.tensor.special.gamma	gamma function.
mars.tensor.special.gammaln	Logarithm of the absolute value of the Gamma function.
mars.tensor.special.loggamma	Principal branch of the logarithm of the gamma function.
mars.tensor.special.gammasgn	Sign of the gamma function.
mars.tensor.special.gammainc	Regularized lower incomplete gamma function.
mars.tensor.special.gammaincinv	Inverse to the lower incomplete gamma function with respect to x.
mars.tensor.special.gammaincc	Regularized lower incomplete gamma function.
mars.tensor.special.gammainccinv	Inverse of the upper incomplete gamma function with respect to x
mars.tensor.special.beta	Beta function.
mars.tensor.special.betaln	Natural logarithm of absolute value of beta function.
mars.tensor.special.betainc	Incomplete beta function.
mars.tensor.special.betaincinv	Inverse of the incomplete beta function.
mars.tensor.special.psi	The digamma function.
mars.tensor.special.rgamma	Reciprocal of the gamma function.
mars.tensor.special.polygamma	Polygamma functions.
mars.tensor.special.multigammaln	Returns the log of multivariate gamma, also sometimes called the generalized gamma.
mars.tensor.special.digamma	The digamma function.
mars.tensor.special.poch	Pochhammer symbol.

Convenience functions

mars.tensor.special.xlogy

Compute x*log(y) so that the result is 0 if x = 0.

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