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The Exponentiated Power Alpha Index Generalized Family of Distributions: Properties and Applications

Mathematics, 2023
The study of hydrological characteristics has a vital role in designing, planning, and managing water resources. The selection of appropriate probability distributions and methods of estimations are basic elements in hydrology analyses.
Sajid Hussain, Mahmood Ul Hassan, Muhammad Sajid Rashid, Rashid Ahmed   +3 more
doaj   +1 more source

The error term of the sum of digital sum functions, in arbitrary bases [PDF]

Notes on Number Theory and Discrete Mathematics
Let k be a non-negative integer and p>1 be a positive integer. Let sₚ(k) be the sum of digits of k written in base p. In 1940, Bush proved that Aₚ(x)=Σₖ≤ₓsₚ(k) is asymptotic to ((p-1)/2)xlogₚx.
Erdenebileg Erdenebat, Ka Lun Wong
doaj   +1 more source

Effect of damage accumulation on the asymptotic behavior of stresses ahead the crack tip

Вестник Самарского университета: Естественнонаучная серия, 2023
The subject of this study is the analysis of mechanical fields associated with a crack tip under creep conditions, taking into account the phenomenon of damage accumulation.
Dmitriy V. Chapliy, Larisa V. Stepanova, Oksana N. Belova   +2 more
doaj   +1 more source

Basic asymptotic estimates for powers of Wallis’ ratios

Cubo, 2021
For any $a\in\R$, for every $n\in\N$, and for $n$-th Wallis' ratio $w_n:=\prod_{k=1}^n\frac{2k-1}{2k}$, the relative error $r_{\,\!_0}(a,n):=\big(v_{\,\!_0}(a,n)-w_n^a\big)/w_n^a$ of the approximation $w_n^a\approx v_{\,\!_0}(a,n):=(\pi n)^{-a/2} $ is ...
Vito Lampret
doaj   +1 more source

Asymptotic Ruin Probability of a Bidimensional Risk Model Based on Entrance Processes with Constant Interest Rate

Risks, 2018
In this paper, the risk model with constant interest based on an entrance process is investigated. Under the assumptions that the entrance process is a renewal process and the claims sizes satisfy a certain dependence structure, which belong to the ...
Hongmin Xiao, Lin Xie
doaj   +1 more source

On a Problem Arising in Application of the Re-Quantization Method to Construct Asymptotics of Solutions to Linear Differential Equations with Holomorphic Coefficients at Infinity

Mathematical and Computational Applications, 2019
The re-quantization method—one of the resurgent analysis methods of current importance—is developed in this study. It is widely used in the analytical theory of linear differential equations.
Maria Korovina, Ilya Smirnov, Vladimir Smirnov   +2 more
doaj   +1 more source

On the Growth of Some Functions Related to z(n)

Mathematics, 2020
The order of appearance z : Z > 0 → Z > 0 is an arithmetic function related to the Fibonacci sequence ( F n ) n . This function is defined as the smallest positive integer solution of the congruence F k ≡ 0 ( mod n )
Pavel Trojovský
doaj   +1 more source

Spacelike surface families interpolating common asymptotic curves in Minkowski 3-space

Frontiers in Physics
In this paper, we propose a method for constructing families of spacelike surfaces in Minkowski 3-spaceE13 that share Bertrand curves as asymptotic curves.
Areej A. Almoneef, Rashad A. Abdel-Baky
doaj   +1 more source

Asymptotic Formula for the Moments of Takagi Function

Моделирование и анализ информационных систем, 2016
Takagi function is a simple example of a continuous but nowhere differentiable function. It is defined by T(x) = ∞ ᢘ k=0 2−nρ(2nx), where ρ(x) = min k∈Z |x − k|. The moments of Takagi function are defined as Mn = ᝈ 1 0  xnT(x) dx.
E. A. Timofeev
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Asymptotic Expansions of Eigenvalues of the First Boundary Problem for Singularly Perturbed Second Order Differential Equation with Turning Points

Моделирование и анализ информационных систем, 2016
For singularly perturbed second order equations the dependence of eigenvalues of the first boundary problem on a small parameter at the highest derivative is studied.
S. A. Kashchenko
doaj   +1 more source