Results 61 to 70 of about 1,852 (188)
Geometric branching reproduction Markov processes
Modern Stochastics: Theory and Applications, 2020 We present a model of a continuous-time Markov branching process with the infinitesimal generating function defined by the geometric probability distribution.
Assen Tchorbadjieff, Penka Mayster
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New type degenerate Stirling numbers and Bell polynomials
Notes on Number Theory and Discrete Mathematics, 2022 In this paper, we introduce a new type degenerate Stirling numbers of the second kind and their degenerate Bell polynomials, which is different from degenerate Stirling numbers of the second kind studied so far. We investigate the explicit formula, recurrence relation and Dobinski-like formula of a new type degenerate Stirling numbers of the second ...
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Several series expansions for real powers and several formulas for partial Bell polynomials of sinc and sinhc functions in terms of central factorial and Stirling numbers of second kind [PDF]
, 2022 In the paper, with the aid of the Fa\`a di Bruno formula, in terms of central factorial numbers of the second kind, and with the terminology of the Stirling numbers of the second kind, the authors derive several series expansions for any positive integer
Qi, Feng, Taylor, Peter
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Noûs, Volume 60, Issue 4, Page 875-889, December 2026.ABSTRACT Philosophers often think agency is essentially connected with rationality, intention, or control. However, Minimalists argue that agency is just the power to cause a change; acids and boulders are agents too. Many philosophers treat Minimalism as a wild outlier, assuming its falsity without argument.
William Hornett
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EVOLUTIONARY MATHEMATICS AND SCIENCE FOR GENERAL FAMOUS NUMBERS: STIRLING-EULER-LAH-BELL [PDF]
, 2021 We first introduce Pascal, Stirling, Eulerian, Lah and Bell numbers via sorting, then generalize Stirling numbers of both kinds [■(n@k)], {■(n@k)}, Eulerian numbers of two orders 〈■(n@k)〉, 〈〈■(n@k)〉 〉, Lah numbers L(n,k)=∑_(j=1)^n▒[■(n@j)] {■(j@k)} and
Leon Chang +2 more
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Deteriorating Mental Well‐Being of the Young in the UK
Scottish Journal of Political Economy, Volume 73, Issue 5, November 2026.ABSTRACT Using several data sets for the UK we track rising perceptions of mental well‐being among the working‐age population in the UK. The trend is apparent among all age groups and for men and women, but it is most pronounced among the young, and especially young women aged under 25.
David G. Blanchflower +2 more
wiley +1 more source
Poly-central factorial sequences and poly-central-Bell polynomials
Advances in Difference Equations, 2021 In this paper, we introduce poly-central factorial sequences and poly-central Bell polynomials arising from the polyexponential functions, reducing them to central factorials and central Bell polynomials of the second kind respectively when k = 1 $k = 1$
Hye Kyung Kim, Taekyun Kim
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Some Theorems on Tauber's Generalized Stirling, Lah and Bell Numbers
European Journal of Pure and Applied Mathematics, 2019 In this paper, some properties for Tauber's generalized Stirling and Lah numbers are obtained including other forms of recurrence relations, orthogonality and inverse relations, rational generating function and explicit formual in symmetric function form. Moreover, a new explicit formula is derived, which is analogous to the Qi formula.
Roberto Bagsarsa Corcino +2 more
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Ecological Solutions and Evidence, Volume 7, Issue 4, October/December 2026.The UK Pollinator Monitoring Scheme (PoMS) generates annual data on insect pollinators from a combination of structured surveys carried out primarily by citizen scientists, covering a wide range of habitats. Our study uses 6 years of PoMS data to produce new metrics of change in abundance and species richness of bees, hoverflies and other pollinator ...
Claire Carvell +19 more
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Diagonal recurrence relations for the Stirling numbers of the first kind [PDF]
, 2016 In the paper, the author presents diagonal recurrence relations for the Stirling numbers of the first kind. As by-products, the author also recovers three explicit formulas for special values of the Bell polynomials of the second ...
Qi, Feng
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