Closed formulas and determinantal expressions for higher-order Bernoulli and Euler polynomials in terms of Stirling numbers
Author:
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Computational Mathematics,Geometry and Topology,Algebra and Number Theory,Analysis
Link
http://link.springer.com/content/pdf/10.1007/s13398-020-00970-9.pdf
Reference21 articles.
1. Borwein, J.M., Crandall, R.E.: Closed forms: what they are and why we care. Notices Amer. Math. Soc. 60(1), 50–65 (2013). https://doi.org/10.1090/noti936
2. Bourbaki, N.: Functions of a real variable, elementary theory, translated from the 1976 French original by Philip Spain. Elements of mathematics (Berlin). Springer, Berlin (2004). https://doi.org/10.1007/978-3-642-5
3. Comtet, L.: Advanced combinatorics: the art of finite and infinite expansions, revised and enlarged edition. D. Reidel Publishing Co., Dordrecht (1974). https://doi.org/10.1007/978-94-010-2196-8
4. Dai, L., Pan, H.: Closed forms for degenerate Bernoulli polynomials. Bull. Aust. Math. Soc. 101(2), 207–217 (2020). https://doi.org/10.1017/S0004972719001266
5. Gun, D., Simsek, Y.: Some new identities and inequalities for Bernoulli polynomials and numbers of higher order related to the Stirling and Catalan numbers, Rev. R. Acad. Cienc. Exactas Fís. Nat. Ser. A Mat. RACSAM, 114(4) (2020) Paper no. 167, 12 pp; https://doi.org/10.1007/s13398-020-00899-z
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