Results 91 to 100 of about 50,310 (297)
Asymptotics of Chebyshev-Stirling and Stirling numbers of the second kind
For the Chebyshev-Stirling numbers, a special case of the Jacobi-Stirling numbers, asymptotic formulae are derived in terms of a local central limit theorem. The underlying probabilistic approach also applies to the classical Stirling numbers of the second kind. Thereby a supplement of the asymptotic analysis for these numbers is established.
Gawronski, Wolfgang+2 more
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The effects of climate on bat morphology across space and time
According to Bergmann's and Allen's rules, climate change may drive morphological shifts in species, affecting body size and appendage length. These rules predict that species in colder climates tend to be larger and have shorter appendages to improve thermoregulation. Bats are thought to be sensitive to climate and are therefore expected to respond to
Laura Paltrinieri+54 more
wiley +1 more source
In this paper, by means of p-adic Volkenborn integrals we introduce and study two different degenerate versions of Bernoulli polynomials of the second kind, namely partially and fully degenerate Bernoulli polynomials of the second kind, and also their ...
Lee-Chae Jang+3 more
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An identity involving Bernoulli numbers and the Stirling numbers of the second kind [PDF]
Let $B_{r}$ denote the Bernoulli numbers, and $S(r,k)$ denote the Stirling numbers of the second kind. We prove the following identity$$ B_{2r} = (-1)^{r}\sum_{k=1}^{2r}\frac{(-1)^{k-1}\cdot (k-1)!}{k+1}\sum_{l=1}^{k}\frac{S(r,l)\, S(r,k-l)}{\binom{k}{l}}. $$To the best of our knowledge, the identity is new.
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ABSTRACT Treated water releases into the Pacific from the Fukushima Dai'ichi nuclear plant in Japan have drawn opposition from fishing communities, who accused proponents of acting irresponsibly in commencing releases before gaining local support. The controversy reflects questions in social licence to operate and social impact assessment about how ...
Leslie Mabon+3 more
wiley +1 more source
Refinements of the Bell and Stirling numbers [PDF]
We introduce new refinements of the Bell, factorial, and unsigned Stirling numbers of the first and second kind that unite the derangement, involution, associated factorial, associated Bell, incomplete Stirling, restricted factorial ...
Tanay Wakhare
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ABSTRACT The provision of drinking water as one of the basic human needs is of great importance now. Today, many people in different parts of the world, especially in remote and rural areas, do not have access to fresh water. These areas usually have a high potential for using renewable energy.
Saeed Ramazanian+3 more
wiley +1 more source
The goal of this paper is to demonstrate many explicit computational formulas and relations involving the Changhee polynomials and numbers and their differential equations with the help of functional equations and partial derivative equations for ...
Ji Suk So, Yilmaz Simsek
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Parametric Study on the Performance of Gas Springs in FPSE With Pneumatic Supporting System
ABSTRACT The introduction of a pneumatic supporting system composed of gas springs and hydrostatic bearings in the free‐piston Stirling generator (FPSG) can effectively increase the power density of the nuclear space power plant. In this paper, a 1 kW FPSG with pneumatic supporting system was developed, and the working characteristics of dual gas ...
Lingxuan Kong+3 more
wiley +1 more source
A new approach to the r-Whitney numbers by using combinatorial differential calculus
In the present article we introduce two new combinatorial interpretations of the r-Whitney numbers of the second kind obtained from the combinatorics of the differential operators associated to the grammar G := {y → yxm, x → x}.
Méndez Miguel A., Ramírez José L.
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