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Stirling number representation problems. (English) Zbl 0100.01704


Keywords:

combinatorics
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[1] L. Carlitz, Eulerian numbers and polynomials, Math. Mag. 32 (1958/1959), 247 – 260. · Zbl 0092.06601 · doi:10.2307/3029225
[2] H. W. Gould, A theorem concerning the Bernstein polynomials, Math. Mag. 31 (1957/1958), 259 – 264. · Zbl 0088.27301 · doi:10.2307/3029385
[3] J. G. Hagen, Synopsis der höheren Mathematik, Berlin, 1891. · JFM 25.1905.01
[4] C. Jordan, On Stirling’s numbers, Tôhoku Math. J. vol. 37 (1933) pp. 254-278. · JFM 59.0171.01
[5] George Boole, Calculus of finite differences, Edited by J. F. Moulton 4th ed, Chelsea Publishing Co. New York, 1957. George Boole, A treatise on the calculus of finite differences, 2nd (last revised) ed. Edited by J. F. Moulton, Dover Publications, Inc., New Yourk, 1960.
[6] N. Nielsen, Handbuch der Theorie der Gammafunktion, Leipzig, 1906. · JFM 37.0450.01
[7] N. E. Nörlund, Vorlesungen über Differenzenrechnung, Berlin, 1924. · JFM 50.0315.02
[8] L. Schläfli, Ergänzung der Abhandlung über die Entwickelung des Produkts ..., J. Reine Angew. Math. vol. 67 (1867) pp. 179-182.
[9] O. Schlömilch, Recherches sur les coefficients des facultés analytiques, J. Reine Angew. Math. vol. 44 (1852) pp. 344-355.
[10] -, Compendium der höheren Analysis, Braunschweig, 1866. · JFM 13.0202.01
[11] I. J. Schwatt, Introduction to the operations with series, University of Pennsylvania, 1924. · JFM 50.0151.01
[12] J. Worpitzky, Studien über die Bernoullischen und Eulerschen Zahlen, J. Reine Angew. Math. vol. 94 (1883) pp. 203-232. · JFM 15.0201.01
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