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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Generating functions for a special class of permutations
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by L. Carlitz PDF
Proc. Amer. Math. Soc. 47 (1975), 251-256 Request permission

Abstract:

The paper contains a simple, direct derivation of the generating functions for a class of permutations generalizing the up-down permutations.
References
  • L. Carlitz, Some arithmetic properties of the Olivier functions, Math. Ann. 128 (1955), 412–419. MR 67151, DOI 10.1007/BF01360145
  • L. Carlitz, Permutations with prescribed pattern, Math. Nachr. 58 (1973), 31–53. MR 329912, DOI 10.1002/mana.19730580104
    • E. Netto, Lehrbuch der Combinatorik, Teubner, Leipzig, 1927. L. Olivier, Bemerkungen über eine Art von Funktionen, welche Eigenschaften haben, wie die Cosinus und Sinus, J. Reine Angew. Math. 2 (1827), 243-251.
Additional Information
  • © Copyright 1975 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 47 (1975), 251-256
  • DOI: https://doi.org/10.1090/S0002-9939-1975-0349406-5
  • MathSciNet review: 0349406