Falling and rising factorials (English Wikipedia)

Analysis of information sources in references of the Wikipedia article "Falling and rising factorials" in English language version.

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ams.org

mathscinet.ams.org

Olver, P.J. (1999). Classical Invariant Theory. Cambridge University Press. p. 101. ISBN 0-521-55821-2. MR 1694364.
Slater, Lucy J. (1966). Generalized Hypergeometric Functions. Cambridge University Press. Appendix I. MR 0201688. — Gives a useful list of formulas for manipulating the rising factorial in $(x) n$ notation.
Schmidt, Maxie D. (2018). "Combinatorial identities for generalized Stirling numbers expanding $f$ -factorial functions and the $f$ -harmonic numbers". Journal of Integer Sequences. 21 (2) 18.2.7. arXiv:1611.04708v2. MR 3779776.

arxiv.org

Knuth, D.E. (1992). "Two notes on notation". American Mathematical Monthly. 99 (5): 403–422. arXiv:math/9205211. doi:10.2307/2325085. JSTOR 2325085. S2CID 119584305. The remark about the Pochhammer symbol is on page 414.
Schmidt, Maxie D. (2018). "Combinatorial identities for generalized Stirling numbers expanding $f$ -factorial functions and the $f$ -harmonic numbers". Journal of Integer Sequences. 21 (2) 18.2.7. arXiv:1611.04708v2. MR 3779776.

doi.org

Knuth, D.E. (1992). "Two notes on notation". American Mathematical Monthly. 99 (5): 403–422. arXiv:math/9205211. doi:10.2307/2325085. JSTOR 2325085. S2CID 119584305. The remark about the Pochhammer symbol is on page 414.
Rosas, Mercedes H. (2002). "Specializations of MacMahon symmetric functions and the polynomial algebra". Discrete Math. 246 (1–3): 285–293. doi:10.1016/S0012-365X(01)00263-1. hdl:11441/41678.

handle.net

hdl.handle.net

Rosas, Mercedes H. (2002). "Specializations of MacMahon symmetric functions and the polynomial algebra". Discrete Math. 246 (1–3): 285–293. doi:10.1016/S0012-365X(01)00263-1. hdl:11441/41678.

jstor.org

Knuth, D.E. (1992). "Two notes on notation". American Mathematical Monthly. 99 (5): 403–422. arXiv:math/9205211. doi:10.2307/2325085. JSTOR 2325085. S2CID 119584305. The remark about the Pochhammer symbol is on page 414.

loc.gov

lccn.loc.gov

Abramowitz, Milton; Stegun, Irene A., eds. (December 1972) [June 1964]. Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables. National Bureau of Standards Applied Mathematics Series. Vol. 55. Washington, DC: United States Department of Commerce. p. 256 eqn. 6.1.22. LCCN 64-60036.

semanticscholar.org

api.semanticscholar.org

Knuth, D.E. (1992). "Two notes on notation". American Mathematical Monthly. 99 (5): 403–422. arXiv:math/9205211. doi:10.2307/2325085. JSTOR 2325085. S2CID 119584305. The remark about the Pochhammer symbol is on page 414.

wolfram.com

functions.wolfram.com

"Introduction to the factorials and binomials". Wolfram Functions Site.