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Baseline Expression of Immune Gene Modules in Blood is Associated With Primary Response to Anti-TNF Therapy in Crohn's Disease Patients. [PDF]
Bai BYH +13 more
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The trend of self-harm incidence rates among adolescents in low- and lower-middle-income countries and its associated contextual factors. [PDF]
Sempungu JK +6 more
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On two families of generalized Stirling numbers representable by Bell polynomials
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The Arithmetic of Bell and Stirling Numbers
American Journal of Mathematics, 1948Symbolic methods are used to obtain many of the properties of the Bell and Stirling numbers [cf. \textit{E. T. Bell}, Am. J. Math. 61, 89--101 (1939; Zbl 0020.10402)] modulo \(p\), a prime.
John Riordan
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Degenerate r-Stirling Numbers and r-Bell Polynomials
Russian Journal of Mathematical Physics, 2018zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Dae San Kim, Yonghong Yao
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A Closed Form for the Stirling Polynomials in Terms of the Stirling Numbers
In the paper, by virtue of the Faá di Bruno formula and two identities for the Bell polynomial of the second kind, the authors find a closed form for the Stirling polynomials in terms of the Stirling numbers of the first and second kinds.
Bai-Ni Guo, Feng Qi
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Degenerate Stirling numbers and a family of Bell polynomials
MATHEMATICA, 2022In this paper, we employ generating functions' techniques to obtain some identities involving degenerate Bell polynomials, multivariate Bell polynomials, and Carlitz degenerate Stirling numbers. Moreover, we obtain some formulas related to an explicit representation and recurrence relations for Lah polynomials.
Madjid Sebaoui +3 more
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BELL, BERNOULLI, CAUCHY, HARMONIC AND STIRLING NUMBERS
Algebras Groups and Geometries, 2023S. Vidal-Beltran +3 more
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