Results 91 to 100 of about 116 (110)
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Bivariate extension of Bell polynomials
J. Integer Seq., 2019Let \(Y_n(x_1,\ldots,x_n)\) denote the (complete) Bell polynomials according to [\textit{J. Riordan}, An introduction to combinatorial analysis. London: Chapman \& Hall, Ltd (1958; Zbl 0078.00805), p. 35] and set \(B_n(x):=Y_n(x,\ldots,x)\). The starting point of the authors is \textit{M. Z. Spivey}'s recurrence formula for the Bell numbers \(B_n(1)\) [
Yuanping Zheng, Nadia N. Li
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The Bell Differential Polynomials
1998Let A be an associative algebra with a unit element 1. If A is commutative then there holds the well-known binomial law $$ (x + y)n = \sum\limits_{k = 0}^n {(_k^n} {)_x}n - {k_y}k $$ (1) where formally x 0 = 1, y 0 = 1. Our aim is to generalize the binomial law to the case where A is not necessarily commutative.
R. Schimming, S. Z. Rida
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Linear recurrences for \(r\)-Bell polynomials
J. Integer Seq., 2014Summary: Letting \(B_{n,r}\) be the \(n\)-th \(r\)-Bell polynomial, it is well known that \(B_n(x)\) admits specific integer coordinates in the two bases \(\{x^i\}_i\) and \(\{xB_i(x)\}_i\) according to, respectively, the Stirling numbers and the binomial coefficients. Our aim is to prove that the sequences \(B_{n+m,r}(x)\) and \(B_{n,r+s}(x)\) admit a
Miloud Mihoubi 0002, Hacène Belbachir
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A probabilistic generalization of the Bell polynomials
Journal of Analysis, 2023P Vellaisamy, Vellaisamy P
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On Central Complete and Incomplete Bell Polynomials I
Symmetry, 2019Taekyun Kim, Dae Kim, Gwan-Woo Jang
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A Note on Some Identities of New Type Degenerate Bell Polynomials
Mathematics, 2019Taekyun Kim +2 more
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Remarks on Bell and higher order Bell polynomials and numbers
Cogent Mathematics, 2016Pierpaolo Natalini +2 more
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Some identities on truncated polynomials associated with Lah-Bell polynomials
2023Yuankui Ma, Taekyun Kim
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Some identities of extended degenerate r-central Bell polynomials arising from umbral calculus
Revista De La Real Academia De Ciencias Exactas, Fisicas Y Naturales - Serie A: Matematicas, 2019Taekyun Kim, Dae San Kim, Kim Dae San
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