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CLOSED FORMS FOR DEGENERATE BERNOULLI POLYNOMIALS
Published online by Cambridge University Press: 10 January 2020
Abstract
Qi and Chapman [‘Two closed forms for the Bernoulli polynomials’, J. Number Theory159 (2016), 89–100] gave a closed form expression for the Bernoulli polynomials as polynomials with coefficients involving Stirling numbers of the second kind. We extend the formula to the degenerate Bernoulli polynomials, replacing the Stirling numbers by degenerate Stirling numbers of the second kind.
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- © 2020 Australian Mathematical Publishing Association Inc.
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The work is supported by the National Natural Science Foundation of China (Grant No. 11671197).
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