Apostol-Bernoulli functions, derivative polynomials and Eulerian polynomials

Khristo N. Boyadzhiev

Apostol-Bernoulli functions, derivative polynomials and Eulerian polynomials

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arxiv 0710.1124 v1 pith:L65ZM6CP submitted 2007-10-05 math.CA math.NT

Khristo N. Boyadzhiev This is my paper · ORCID

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keywords polynomialsderivativeeulerianfunctionssurveyapostolapostol-bernoulliclass

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This is a short survey of a class of functions introduces by Tom Apostol. The survey is focused on their relation to Eulerian polynomials, derivative polynomials, and also on some integral representations.

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A Combinatorial Analysis Of Higher Order Generalised Geometric Polynomials: A Generalisation Of Barred Preferential Arrangements
math.CO 2019-08 conditional novelty 4.0 of 10

The higher-order generalized geometric polynomials count barred preferential arrangements with one special section and λ ordinary sections, with an explicit Stirling-number formula and an asymptotic estimate.

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