Bell polynomials
由 EW Weisstein 著作 · 2005 · 被引用 8 次 — There are two kinds of Bell polynomials. ... These Bell polynomial generalize the exponential function. ... Bell polynomials are implemented in the Wolfram Language ... ,2020年5月29日 — The Bell polynomials (studied extensively by E.T. Bell [a2]) arise naturally from differentiating a composite function n times, ...
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Bell polynomials - Wikipedia
In combinatorial mathematics, the Bell polynomials, named in honor of Eric Temple Bell, are used in the study of set partitions. https://en.wikipedia.org Bell Polynomial -- from Wolfram MathWorld
由 EW Weisstein 著作 · 2005 · 被引用 8 次 — There are two kinds of Bell polynomials. ... These Bell polynomial generalize the exponential function. ... Bell polynomials are implemented in the Wolfram Lang... https://mathworld.wolfram.com Bell polynomial - Encyclopedia of Mathematics
2020年5月29日 — The Bell polynomials (studied extensively by E.T. Bell [a2]) arise naturally from differentiating a composite function n times, ... https://encyclopediaofmath.org General identities on Bell polynomials - ScienceDirect
由 W Wang 著作 · 2009 · 被引用 31 次 — The exponential partial Bell polynomials are polynomials in an infinite number of variables x 1 , x 2 , … , and it is well-known that some special ... https://www.sciencedirect.com The role of Bell polynomials in integration - ScienceDirect
由 CB Collins 著作 · 2001 · 被引用 29 次 — It is shown that, in the evaluation of certain integrals, the answer will be a simple multiple of a Bell polynomial. Integrals of the form I n,α,β ≔ ∫ 0 π ... https://www.sciencedirect.com New identities for the partial Bell polynomials - ScienceDirect
由 D Cvijović 著作 · 2011 · 被引用 51 次 — Partial Bell polynomial ... For some examples of these polynomials see Section 3. The partial Bell polynomials are quite general polynomials, ... https://www.sciencedirect.com The complete Bell polynomials for certain arguments in terms ...
由 KS Kölbig 著作 · 1994 · 被引用 24 次 — The value of the (exponential) complete Bell polynomials for certain arguments, given essentially by finite sums of reciprocal powers with a real parameter, ... https://www.sciencedirect.com (PDF) The partial r-Bell polynomials - ResearchGate
of special combinatorial sequences, called the exponential partial r-Bell polynomials for which the. r-Stirling numbers and other known numbers appear as ... https://www.researchgate.net (exponential) complete Bell polynomials - ResearchGate
The arguments of the complete Bell polynomials comprise the generalised harmonic number functions. These in turn give rise to Euler-Hurwitz series which may ... https://www.researchgate.net Complete and incomplete Bell polynomials associated with ...
由 T Kim 著作 · 2021 · 被引用 11 次 — Abstract: The nth r-extended Lah-Bell number is defined as the number of ways a set with n+r elements can be partitioned into ordered blocks ... https://arxiv.org |