Bell polynomials and degenerate stirling numbers

F. T. Howard

Rendiconti del Seminario Matematico della Università di Padova (1979)

  • Volume: 61, page 203-219
  • ISSN: 0041-8994

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Howard, F. T.. "Bell polynomials and degenerate stirling numbers." Rendiconti del Seminario Matematico della Università di Padova 61 (1979): 203-219. <http://eudml.org/doc/107716>.

@article{Howard1979,
author = {Howard, F. T.},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = {exponential Bell polynomials; Stirling numbers},
language = {eng},
pages = {203-219},
publisher = {Seminario Matematico of the University of Padua},
title = {Bell polynomials and degenerate stirling numbers},
url = {http://eudml.org/doc/107716},
volume = {61},
year = {1979},
}

TY - JOUR
AU - Howard, F. T.
TI - Bell polynomials and degenerate stirling numbers
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 1979
PB - Seminario Matematico of the University of Padua
VL - 61
SP - 203
EP - 219
LA - eng
KW - exponential Bell polynomials; Stirling numbers
UR - http://eudml.org/doc/107716
ER -

References

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  1. [1] E.T. Bell, Exponential polynomials, Ann. of Math., 35 (1934), pp. 258-277. Zbl0009.21202MR1503161
  2. [2] L. Carlitz, A degenerate Staudt-Clausen theorem, Arch. Math., 7 (1956), pp. 28-33. Zbl0070.04003MR74436
  3. [3] L. Carlitz, Degenerate Stirling, Bernoulli and Eulerian numbers, to be published. Zbl0404.05004
  4. [4] L. Carlitz, Set partitions, Fibonacci Quart., 14 (1976), pp. 327-342. Zbl0362.05024MR427087
  5. [5] L. Comtet, Advanced Combinatories, Reidel, Dordrecht/Boston, 1974. Zbl0283.05001
  6. [6] E.A. Enneking - J. C. AHUJA, Generalized Bell numbers, Fibonacci Quart., 14 (1976), pp. 67-73. Zbl0353.10013MR414375
  7. [7] F.T. Howard, Associated Stirling numbers, Fibonacci Quart., to appear. Zbl0443.10007MR600368
  8. [8] F.T. Howard, Numbers generated by the reciprocal of ex — x — 1, Math. Comp., 31 (1977), pp. 581-598. Zbl0351.10010MR439741
  9. [9] J. Riordan, An Introduction to Combinatorial Analysis, Wiley, New York, 1958. Zbl0078.00805MR96594
  10. [10] R.F. Tate - R.L. Goen, Minimum variance unbiased estimation for the truncated Poisson distribution, Ann. of Math. Stat., 29 (1958), pp. 755-765. Zbl0086.35404MR93849
  11. [11] L. Toscano, Numeri di Stirling generalizzati, operatori differenziali e polinomi ipergeometrici, Commentat. Pontificia Ac. Sci., 3 (1939), pp. 721-757. MR3879JFM65.0296.03
  12. [12] L. Toscano, Some results for generalized Bernoulli, Euler and Stirling numbers, Fibonacci Quart., 16 (1978), pp. 103-112. Zbl0377.10009MR485418
  13. [13] V. Uppuluri - J. Carpenter, Numbers generated by the function egp (1 — ex), Fibonacci Quart., 7 (1969), pp. 437-447. Zbl0191.32801MR258648

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