2020Forum MathematicumRequires access

Summation formulae involving Stirling and Lah numbers

Dongwei Guo

Open publisher page 3 citations

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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What this paper is about

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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Available 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.

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

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