A finite difference approach to degenerate Bernoulli and Stirling polynomials

https://doi.org/10.1016/0012-365X(93)E0188-AGet rights and content
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Abstract

Starting with divided differences of binomial coefficients, a class of multivalued polynomials (three parameters), which includes Bernoulli and Stirling polynomials and various generalizations, is developed. These carry a natural and convenient combinatorial interpretation. Calculation of particular values of the polynomials yields some binomial identities. Properties of the polynomials are established and several factorization results are proven and conjectured.

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