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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

$ q$-Bernoulli and Eulerian numbers


Author: L. Carlitz
Journal: Trans. Amer. Math. Soc. 76 (1954), 332-350
MSC: Primary 10.0X
MathSciNet review: 0060538
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  • [1] L. Carlitz and J. Riordan, Congruences for Eulerian numbers, Duke Math. J. 20 (1953), 339–343. MR 0056008 (15,10e)
  • [2] L. Carlitz, 𝑞-Bernoulli numbers and polynomials, Duke Math. J. 15 (1948), 987–1000. MR 0027288 (10,283g)
  • [3] G. Frobenius, Über die Bernoullischen Zahlen und die Eulerschen Polynome, Preuss. Akad. Wiss. Sitzungsber. (1910) pp. 809-847.
  • [4] N. Nielsen, Sur le théorème de v. Staudt et de Th. Clausen relatif aux nombres de Bernoulli, Annali di Matematica (3) vol. 22 (1914) pp. 249-261.
  • [5] J. Worpitzky, Studient über die Bernoullischen und Eulerschen Zahlen, J. Reine Angew. Math. vol. 94 (1883) pp. 202-232.

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DOI: http://dx.doi.org/10.1090/S0002-9947-1954-0060538-2
PII: S 0002-9947(1954)0060538-2
Article copyright: © Copyright 1954 American Mathematical Society