Results 31 to 40 of about 2,420 (241)
Some identities related to degenerate r-Bell and degenerate Fubini polynomials
Applied Mathematics in Science and Engineering, 2023 Many works have been done in recent years as to explorations for degenerate versions of some special polynomials and numbers, which began with the pioneering work of Carlitz on the degenerate Bernoulli and degenerate Euler polynomials.
Taekyun Kim, Dae San Kim, Jongkyum Kwon
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On the maximum of Stirling numbers of the second kind
Journal of Combinatorial Theory, Series A, 1973 AbstractA technique is illustrated for finding an estimate of the Stirling numbers of the second kind, Sn, r(1 ⩽ r ⩽ n), as n → ∞, for a certain range of values of r. It is shown how the estimation can be found to any given degree of approximation. Finally, the location of the maximum of Sn, r (1 ⩽ r ⩽ n) and the value of the maximum are computed.
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Close Encounters with the Stirling Numbers of the Second Kind [PDF]
Mathematics Magazine, 2012 19 pages. This is a modified version of the paper published in the Math Magazine (2012)
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Recurrent Neurodevelopmental Disorder Associated With a Dominant‐Negative TOP2B H63Y Variant
American Journal of Medical Genetics Part A, EarlyView.ABSTRACT We describe a 7 year‐old boy with severe neurodevelopmental disorder, medically‐refractory epileptic encephalopathy, hyperkinetic movement disorder, hypotonia, cerebral and cerebellar atrophy and hypomyelination who was found to have a heterozygous de novo TOP2B NM_001330700.2:c.187C>T, p.(His63Tyr) variant.
Zong Yi Ha +6 more
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Identities involving degenerate stirling numbers of the second kind
Mathematical and Computer Modelling of Dynamical SystemsBuilding on Carlitz’s foundational work with degenerate Euler and Bernoulli polynomials, recent research has introduced and studied various degenerate special numbers and polynomials.
Taekyun Kim +3 more
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Mathematics, 2019 In this paper, we introduce the two-variable truncated Fubini polynomials and numbers and then investigate many relations and formulas for these polynomials and numbers, including summation formulas, recurrence relations, and the derivative property.
Ugur Duran, Mehmet Acikgoz
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Multisectioned moments of stirling numbers of the second kind
Journal of Combinatorial Theory, Series A, 1973 The Stirling number of the second kind, S(n, k), enumerates the ways that n distinct objects can be stored in k non-empty indistinguishable boxes. When k is restricted to a given residue class modulo μ, the moments of the distribution S(n, k) have properties associated with the Olivier functions of order μ evaluated at 1 and −1. The simplest example is
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On the Uniqueness Conjecture for the Maximum Stirling Numbers of the Second Kind
Results in Mathematics, 2021 The Stirling numbers of the second kind S(n, k) satisfy S(n, 0)<¿<S(n, kn)=S(n, kn+1)>¿>S(n, n).A long standing conjecture asserts that there exists no n= 3 such that S(n, kn) = S(n, kn+ 1). In this note, we give a characterization of this conjecture in terms of multinomial probabilities, as well as sufficient conditions on n ensuring that
José A. Adell, Daniel Cárdenas-Morales
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Batteries &Supercaps, Volume 8, Issue 3, March 2025.A micro‐supercapacitor with electrodeposited iron oxyhydroxide (FeOOH) as the negative electrode and birnessite manganese oxide (MnO2) as the positive electrode achieves a 2 V working voltage, stable cycling in an aqueous electrolyte, and high energy and power densities of 21 μWh cm‐2 and 2.5 mW cm‐2 respectively.
Filipe Braga +6 more
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British Educational Research Journal, EarlyView.Abstract Agency has increasingly become a central concept in educational leadership research, yet its application to those preparing to enter school leadership roles remains underexplored. Drawing on the conceptual framework of the ecological approach to teacher agency, we explored how and in what ways aspiring school leaders in Scotland (n = 21 ...
Romina Madrid Miranda +2 more
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