Results 81 to 90 of about 1,345 (195)
Mathematical and Computer Modelling of Dynamical SystemsIn this paper, we investigate the theory and applications of negative λ-binomial random variable with parameter [Formula: see text] and Poisson random variable with parameter [Formula: see text].
Jongkyum Kwon +2 more
doaj +1 more source
An explicit formula for Bell numbers in terms of Stirling numbers and hypergeometric functions
Global Journal of Mathematical Analysis, 2014 In the paper, the author finds an explicit formula for computing Bell numbers in terms of Kummer confluent hypergeometric functions and Stirling numbers of the second kind.
Bai-Ni Guo, Feng Qi
openaire +3 more sources
Fortschritte der Physik, Volume 74, Issue 4, April 2026.Abstract String theory has strong implications for cosmology, implying the absence of a cosmological constant, ruling out single‐field slow‐roll inflation, and that black holes decay. The origins of these statements are elucidated within the string‐theoretical swampland programme.
Kay Lehnert
wiley +1 more source
Alcohol, Clinical and Experimental Research, Volume 50, Issue 4, April 2026.This observational study used routinely collected data from community‐based, non‐government alcohol, and other drug services in New South Wales, Australia. Lockdown measures did not adversely impact the number of treatment episodes that commenced or increased the likelihood of unplanned dropout.
Alison K. Beck +9 more
wiley +1 more source
Three closed forms for convolved Fibonacci numbers
Results in Nonlinear Analysis, 2020 In the paper, by virtue of the Faà di Bruno formula and several properties of the Bell polynomials of the second kind, the author computes higher order derivatives of the generating function of convolved Fibonacci numbers and, consequently, derives three
Feng Qi
doaj
Advanced Energy and Sustainability Research, Volume 7, Issue 3, March 2026.This review examines the evolution and current state of concentrated photovoltaic systems, focusing on materials, manufacturing pathways, and thermal management challenges. Advanced cooling techniques and emerging applications are assessed alongside recent digital integration strategies. Through linking performance gains with practical limitations, the
Abdul Ghani Olabi +7 more
wiley +1 more source
A generalization of stirling numbers of the second kind via a special multiset
, 2010 Stirling numbers of the second kind and Bell numbers are intimately linked through the roles they play in enumerating partitions of n-sets. In a previous article we studied a generalization of the Bell numbers that arose on analyzing partitions of a ...
Griffiths, Martin, Mezo, István
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Generalized Stirling numbers, exponential Riordan arrays and orthogonal polynomials [PDF]
, 2011 We define a generalization of the Stirling numbers of the second kind, which depends on two parameters. The matrices of integers that result are exponential Riordan arrays. We explore links to orthogonal polynomials by studying the production matrices of
Hennessy, Aoife, Barry, Paul
core
Some Inequalities of the Bell Polynomials
, 2017 In the paper, the author (1) presents an explicit formula and its inversion formula for higher order derivatives of generating functions of the Bell polynomials, with the help of the Faà di Bruno formula, properties of the Bell polynomials of ...
Feng Qi
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