Explicit formulas for the Nörlund polynomials \(B_n^{(x)}\) and \(b_n^{(x )}\). (English) Zbl 1161.11314

Summary: The authors establish some explicit formulas and representations for the Nörlund polynomial \(B_n^{(x)}\) and \(b_n^{(x)}\) Several identities involving Bernoulli numbers, Nörlund numbers, Stirling numbers and the associated Stirling numbers are also presented.


11B68 Bernoulli and Euler numbers and polynomials
33C45 Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.)
11B73 Bell and Stirling numbers
05A15 Exact enumeration problems, generating functions
05A19 Combinatorial identities, bijective combinatorics
Full Text: DOI


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