Remote Access Mathematics of Computation
Green Open Access

Mathematics of Computation

ISSN 1088-6842(online) ISSN 0025-5718(print)

 
 

 

A combinatorial interpretation for the Schett recurrence on the Jacobian elliptic functions


Author: Dominique Dumont
Journal: Math. Comp. 33 (1979), 1293-1297
MSC: Primary 33A25; Secondary 05A15
DOI: https://doi.org/10.1090/S0025-5718-1979-0537974-1
MathSciNet review: 537974
Full-text PDF

Abstract | References | Similar Articles | Additional Information

Abstract: The coefficients introduced by Alois Schett containing the Taylor series expansions of the Jacobian elliptic functions are proved to count certain classes of permutations.


References [Enhancements On Off] (What's this?)

  • [1] D. ANDRE, "Développement de $ \sec x$ et $ \tan x$," C. R. Acad. Sci. Paris, v. 88, 1879, pp. 965-967.
  • [2] D. FOATA & M. P. SCHÜTZENBERGER, Théorie Géométrique des Polynômes Eulériens, Lecture Notes in Math., Vol. 138, Springer-Verlag, Berlin and New York, 1970.
  • [3] A. SCHETT, "Properties of the Taylor series expansion coefficients of the Jacobian elliptic functions," Math. Comp., v. 30, 1976, pp. 143-147. MR 0391477 (52:12298)
  • [4] A. SCHETT, Addendum to "Properties of the Taylor series expansion coefficients of the Jacobian elliptic functions," Math. Comp., v. 31, 1977, Microfiche supplement.
  • [5] A. SCHETT, "Recurrence formula of the Taylor series expansion coefficients of the Jacobian elliptic functions," Math. Comp., v. 31, 1977, pp. 1003-1005. MR 0442301 (56:687)
  • [6] G. VIENNOT, "Une interprétation combinatoire des coefficients des développements en série entière des fonctions elliptiques de Jacobi," J. Combinatorial Theory. (To appear.) MR 583951 (81h:33003)

Similar Articles

Retrieve articles in Mathematics of Computation with MSC: 33A25, 05A15

Retrieve articles in all journals with MSC: 33A25, 05A15


Additional Information

DOI: https://doi.org/10.1090/S0025-5718-1979-0537974-1
Article copyright: © Copyright 1979 American Mathematical Society

American Mathematical Society