This is documentation for Mathematica 6, which was
based on an earlier version of the Wolfram Language.
View current documentation (Version 11.1)
Recurrence and Sum Functions
Mathematica has a wide coverage of named functions defined by sums and recurrence relations. Often using original algorithms developed at Wolfram Research, Mathematica supports highly efficient exact evaluation even for results involving millions of digits.
Fibonacci, LucasL Fibonacci and Lucas numbers and polynomials
BernoulliB Bernoulli numbers and polynomials
NorlundB Nörlund polynomials and generalized Bernoulli polynomials
EulerE Euler numbers and polynomials
StirlingS1, StirlingS2 Stirling numbers
HarmonicNumber harmonic numbers
PolyGamma polygamma functions
Zeta  ▪ LerchPhi  ▪ PolyLog
Factorial(!)  ▪ Factorial2(!!)  ▪ Binomial  ▪ CatalanNumber  ▪ BellB
RSolve solve general recurrence relations
Sum compute general finite and infinite sums
MatrixExp general matrix exponential