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Eulerian numbers and operators

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Part of the Lecture Notes in Mathematics book series (LNM,volume 251)

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References

  1. L. Carlitz, Eulerian numbers and polynomials, Math. Mag. 33 (1959), 247–260.

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  2. L. Carlitz, Eulerian numbers and operators, in preparation.

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  3. L. Euler, Institutiones Calculi Differentialis, Omnia Opera (1), Vol. 10 (1913).

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  4. D. Foata and M. P. Schutzenberger, Theorie Geometrique des Polynomes Euleriens, Springer, Berlin-Heidelberg-New York, 1970.

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  5. G. Frobenius, Über die Bernoullischen Zahlen und die Eulerschen Polynome, S.-B. Preuss. Akad. Wiss. (1910), 809–847.

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  6. J. Riordan, An Introduction to Combinatorial Analysis, Wiley, New York, 1958.

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  7. J. Worpitzky, Über die Bernoullischen und Eulerschen Zahlen, J. Reine Angew. Math. 94 (1883), 203–232.

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© 1972 Springer-Verlag

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Carlitz, L. (1972). Eulerian numbers and operators. In: Gioia, A.A., Goldsmith, D.L. (eds) The Theory of Arithmetic Functions. Lecture Notes in Mathematics, vol 251. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0058785

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  • DOI: https://doi.org/10.1007/BFb0058785

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-05723-9

  • Online ISBN: 978-3-540-37098-7

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