Results 1 to 10 of about 23,859 (259)

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   +2 more sources

An asymptotic formula of cosine power sums

open access: yesLe Matematiche, 2013
In the paper, the authors find several accurate approximations of some cosine power sums and present an asymptotic formula for these cosine power sums.
Mircea Merca, Tanfer Tanriverdi
doaj   +2 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

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

A new handle on three-point coefficients: OPE asymptotics from genus two modular invariance

open access: yesJournal of High Energy Physics, 2017
We derive an asymptotic formula for operator product expansion coefficients of heavy operators in two dimensional conformal field theory. This follows from modular invariance of the genus two partition function, and generalises the asymptotic formula for
John Cardy   +2 more
doaj   +1 more source

Vinogradov's mean value theorem via efficient congruencing [PDF]

open access: yes, 2012
We obtain estimates for Vinogradov's integral that for the first time approach those conjectured to be the best possible. Several applications of these new bounds are provided.
Wooley, Trevor D., Trevor D. Wooley
core   +1 more source

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