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Special functions


An overview of the different functions and classes:

bessel_j0Returns the Bessel function of order 0 of the specified number.
bessel_j1Returns the Bessel function of order 1 of the specified number.
bessel_jnReturns the Bessel function of order n of the specified number.
bessel_y0Returns the Bessel function of the second kind, of order 0 of the specified number.
bessel_y1Returns the Bessel function of the second kind, of order 1 of the specified number.
bessel_ynReturns the Bessel function of the second kind, of order n of the specified number.
chisqReturns the area under the left hand tail (from 0 to x) of the Chi square probability density function with v degrees of freedom.
chisqcReturns the area under the right hand tail (from x to infinity) of the Chi square probability density function with v degrees of freedom:
cumnormalReturns the area under the Gaussian probability density function, integrated from minus infinity to a.
gammaReturns the gamma function of the specified number.
ibetaReturns the incomplete beta function evaluated from zero to xx.
igamReturns the incomplete gamma function.
igamcReturns the complemented incomplete gamma function.
incbcfReturns the continued fraction expansion #1 for incomplete beta integral.
incbdReturns the continued fraction expansion #2 for incomplete beta integral.
p1evlEvaluates polynomial of degree N with assumtion that coef[N] = 1.0
poissonReturns the sum of the first k terms of the Poisson distribution.
poissoncReturns the sum of the terms k+1 to infinity of the Poisson distribution.
polevlEvaluates polynomial of degree N
pseriesReturns the power series for incomplete beta integral. Use when b*x is small and x not too close to 1.
stirfReturn the gamma function computed by Stirling's formula.