A Set of Polynomials Associated with the Higher Derivatives of $y=x^x$

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A Set of Polynomials Associated with the Higher Derivatives of $y=x^x$

H.W. Gould

Source: Rocky Mountain J. Math. Volume 26, Number 2 (1996), 615-625.

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Permanent link to this document: http://projecteuclid.org/euclid.rmjm/1181072076
Digital Object Identifier: doi:10.1216/rmjm/1181072076
Mathematical Reviews number (MathSciNet): MR1406498
Zentralblatt MATH identifier: 0866.05007

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References

Louis Comtet, Advanced combinatorics, D. Reidel, Dordrecht, 1974.

Mathematical Reviews (MathSciNet): MR460128

Zentralblatt MATH: 0283.05001

H.W. Gould, Theory of series, Seven Volumes, 1945-1993. Unpublished. Information available from the author.

D.H. Lehmer, Numbers associated with Stirling numbers and $x^x$, Rocky Mountain J. Math. 15 (1985), 461-479.

Mathematical Reviews (MathSciNet): MR823258

Digital Object Identifier: doi:10.1216/RMJ-1985-15-2-461

Project Euclid: euclid.rmjm/1250127221

Zentralblatt MATH: 0582.05002

John Riordan, An introduction to combinatorial analysis, Wiley, New York, 1958.

Mathematical Reviews (MathSciNet): MR96594

--------, Combinatorial identities, Wiley, New York, 1968.

Mathematical Reviews (MathSciNet): MR231725

Ludwig Schläfli, Gesammelte Mathematische Abhandlungen, Verlag Birkhäuser Basel, 1950. Three volumes, 1950, 1953, 1956. Note papers in Comptes Rendus, Paris, 1847, Grunert's Archiv 1847 and 1849, and Crelle's Journal 1852 and 1867.

Peter Shor, Problem 78-6, SIAM Rev. 20 (1978), 394; Solutions by Peter Shor and Otto G. Ruehr, comment by A. Meir, ibid. 21 (1979), 258-260.

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Rocky Mountain Journal of Mathematics