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On an asymptotic formula for the niven numbers [PDF]

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1985
A Niven number is a positive integer which is divisible by its digital sum. A discussion of the possibility of an asymptotic formula for N(x) is given. Here, N(x) denotes the nmber of Niven numbers less than x. A partial result will be presented.
Curtis N. Cooper, Robert E. Kennedy
doaj   +3 more sources

Asymptotic Inversion of the Erlang B Formula [PDF]

open access: yesSIAM Journal on Applied Mathematics, 2009
The Erlang B formula represents the steady-state blocking probability in the Erlang loss model or M/M/s/s queue. We derive asymptotic expansions for the offered load that matches, for a given number of servers, a certain blocking probability. In addressing this inversion problem we make use of various asymptotic expansions for the incomplete gamma ...
N M Temme, J S H Van Leeuwaarden
exaly   +3 more sources

Asymptotic Formula for Noncentral F-Distribution [PDF]

open access: yesThe Egyptian Statistical Journal, 1977
The method of small parameter is used to obtain a new representation for the distribution of the variance ratio when the Null-Hypothesis is not true. Although the new formula is supposed to be valid only when λ(the non-centrality parameter) is large, yet
A.H. Taha, K.E. El-Nadi
doaj   +1 more source

Consistency and Asymptotic Normality of the Maximum Likelihood Estimator in GaGLM

open access: yesIEEE Access, 2022
The Gamma distribution based generalized linear model ( $Ga$ GLM) is a kind of statistical model feasible for the positive value of a non-stationary stochastic system, in which the location and the scale are regressed by the corresponding explanatory ...
Benchao Wang, Pan Qin, Hong Gu
doaj   +1 more source

Higher-Order Asymptotic Numerical Solutions for Singularly Perturbed Problems with Variable Coefficients

open access: yesMathematics, 2022
For the purpose of solving a second-order singularly perturbed problem (SPP) with variable coefficients, a mth-order asymptotic-numerical method was developed, which decomposes the solutions into two independent sub-problems: a reduced first-order linear
Chein-Shan Liu   +2 more
doaj   +1 more source

Orthogonal Polynomials With a Semi-Classical Weight and Their Recurrence Coefficients

open access: yesIEEE Access, 2020
Focusing on the weight function $\omega (x,t)=x^{\alpha }e^{-\frac {1}{3}x^{3}+tx}, x\in [0,\infty),\,\,\,\,\alpha >-1,\,\,\,\,t> 0$ , we state its asymptotic orthogonal polynomials.
Dan Wang, Mengkun Zhu, Yang Chen
doaj   +1 more source

Asymptotic Separation of Solutions to Fractional Stochastic Multi-Term Differential Equations

open access: yesFractal and Fractional, 2021
In this paper, we study the exact asymptotic separation rate of two distinct solutions of Caputo stochastic multi-term differential equations (Caputo SMTDEs).
Arzu Ahmadova, Nazim I. Mahmudov
doaj   +1 more source

A remark on Mirzakhani’s asymptotic formulae [PDF]

open access: yesAsian Journal of Mathematics, 2014
11 ...
Liu, Kefeng, Xu, Hao
openaire   +3 more sources

Weak gravity bounds in asymptotic string compactifications

open access: yesJournal of High Energy Physics, 2021
We study the charge-to-mass ratios of BPS states in four-dimensional N $$ \mathcal{N} $$ = 2 supergravities arising from Calabi-Yau threefold compactifications of Type IIB string theory.
Brice Bastian   +2 more
doaj   +1 more source

Asymptotics on a Class of Legendre Formulas

open access: yesThe American Mathematical Monthly, 2022
15 pages, 2 ...
openaire   +2 more sources

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