Eulerian polynomials: From Euler's time to the present

The Legacy of Alladi Ramakrishnan in the Mathematical Sciences

Volumn , Issue , 2010, Pages 253-273

  Foata, Dominique ^a  

^a Institut Lothaire   (France)

Author keywords

Bernoulli numbers; Eulerian polynomials; Genocchi numbers; q Eulerian polynomials; Tangent numbers

Indexed keywords

EID: 84856251452     PISSN: None     EISSN: None     Source Type: Book    
DOI: 10.1007/978-1-4419-6263-8_15     Document Type: Chapter

References (22)

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2. Carlitz, Leonard. q-Bernoulli and Eulerian numbers, Trans. Am. Math. Soc, vol. 76, 1954, p. 332-350.
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7. Also in Opera Omnia, Ser. I, Commentationes analyticae ad theoriam serierum infinitarum pertinentes, II, vol. 15, p. 70-90, Teubner, Leipzig, 1927.
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9. Foata, Dominique; Han, Guo-Niu. Doubloons and new q-tangent numbers, 16 p., Quarterly J. Math. (in press)
10. Foata, Dominique; Han, Guo-Niu. The doubloon polynomial triangle, 20 p., Ramanujan J., (The Andrews Festschrift) 23 (2010, in press)
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21. Shareshian, John; Wachs, Michelle L. q-Eulerian Polynomials: Excedance Number and Major Index. Electron. Res. Announc. Am. Math. Soc, vol. 13 2007, p. 33-45.
22. Stanley, Richard P. Binomial posets, Möbius inversion, and permutation enumeration, J. Combin. Theory Ser. A, vol. 20, 1976, 336-356.