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Highlights from
Special Functions math library

  • bern(n) Bern Bernoulli number
  • betad(z) BETAD Dirichlet Beta function
  • binomial(n,d) BINOMIAL calculate the binomial coefficient
  • deta(z,k) DETA Calculates Dirichlet functions of the form
  • erfz(zz) ERFZ Error function for complex inputs
  • eta(z) ETA Dirichlet Eta function
  • euler(n) Euler Euler number
  • eulergamma Euler-Mascheroni constant = -Psi(1) = 0.5772156649015328606...
  • fact(n) FACT Vectorized Factorial function
  • factd(n) FACTD Double Factorial function = n!!
  • gamma(z) GAMMA Gamma function valid in the entire complex plane.
  • gammaln(z) GAMMALOG Natural Log of the Gamma function valid in the entire complex plane.
  • genocchi(z) Genocchi number
  • harm(z) Harm Harmonic sum function valid in the entire (complex) plane.
  • lambda(z) LAMBDA Dirichlet Lambda function
  • poch(z,n)
  • psi(z) Psi Psi (or Digamma) function valid in the entire complex plane.
  • psin(n,z) Psin Arbitrary order Polygamma function valid in the entire complex plane.
  • totient(n) TOTIENT calculates the totient function (also
  • zeta(z) ZETA Riemann Zeta function
  • View all files
from Special Functions math library by Paul Godfrey
Collection of Special Functions programs.

poch(z,n) 
function [f] = poch(z,n)
%Pochhammer function (z)n = z(z+1)(z+2)...(z+n-1)
%
%usage:  f = poch(z,n)
%
%tested on version 5.3.1
%
%        z and n may be complex but must be equal in size.
%
%see also: Gamma, Fact

%Paul Godfrey
%pgodfrey@conexant.com
%8-24-00

f = gamma(z+n)./gamma(z);

p=find(z==0 & n==0);
if ~isempty(p)
    f(p)=0;
end

return

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