Summation formulae involving Stirling and Lah numbers
Dongwei Guo
Abstract
Dongwei Guo
Abstract
Abstract By making use of the generating function method, we derive several summation formulae involving Stirling numbers and Lah numbers as well as other classical combinatorial numbers named after Bernoulli, Euler, Bell, Genocchi, Cauchy, Derangement, Harmonic, Fibonacci and Lucas.
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Abstract By making use of the generating function method, we derive several summation formulae involving Stirling numbers and Lah numbers as well as other classical combinatorial numbers named after Bernoulli, Euler, Bell, Genocchi, Cauchy, Derangement, Harmonic, Fibonacci and Lucas.
Key concepts: Stirling numbers of the second kind, Stirling numbers of the first kind, Mathematics, Stirling number, Harmonic number, Fibonacci number, Generating function, Bernoulli number