Results 1 to 10 of about 3,060 (162)
Inequalities and asymptotic expansions related to the generalized Somos quadratic recurrence constant [PDF]
Journal of Inequalities and Applications, 2018 In this paper, we give asymptotic expansions and inequalities related to the generalized Somos quadratic recurrence constant, using its relation with the generalized Euler constant.
Xue-Si Ma, Chao-Ping Chen
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On Estimation of the Remainder Term in New Asymptotic Expansions in the Central Limit Theorem
Computer Sciences & Mathematics Forum, 2023 We offer a new asymptotic expansion with an explicit remainder estimate in the central limit theorem. The results obtained are essentially based on new forms of asymptotic expansions in the central limit theorem.
Vitaly Sobolev, Sergey Ramodanov
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New asymptotic expansions on hyperfactorial functions
Comptes Rendus. Mathématique, 2021 In this paper, by using the Bernoulli numbers and the exponential complete Bell polynomials, we establish four general asymptotic expansions for the hyperfactorial functions $\prod _{k=1}^n {k^{k^q}}$, which have only odd power terms or even power terms.
Xu, Jianjun
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Asymptotic analysis of Sturm-Liouville problem with Robin and two-point boundary conditions
Lietuvos Matematikos Rinkinys, 2022 We analyze the initial value problem and get asymptotic expansions for solution. We investigate the characteristic equation for Sturm-Liouville problem with one classical Robin type boundary condition and another two-point nonlocal boundary condition ...
Artūras Štikonas
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Universe, 2021 We consider a generalized Starobinski inflationary model. We present a method for computing solutions as generalized asymptotic expansions, both in the kinetic dominance stage (psi series solutions) and in the slow roll stage (asymptotic expansions of ...
Elena Medina, Luis Martínez Alonso
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New asymptotic expansions and Padé approximants related to the triple gamma function
Journal of Inequalities and Applications, 2022 In this work, our main focus is to establish asymptotic expansions for the triple gamma function in terms of the triple Bernoulli polynomials. As application, an asymptotic expansion for hyperfactorial function is also obtained.
Sourav Das, A. Swaminathan
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H. Bergstrom’s asymptotic expansions
Lietuvos Matematikos Rinkinys, 2020 In this work it is researched H. Bergstrom work about asymptotic behavior of convolutions of probability distributions. We give the theorem about the members of expansion in decreasing order and the remainder term estimation.
Algimantas Bikelis, Audrius Galinskis
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Современная математика: Фундаментальные направления, 2021 This work, which can be considered as a small monograph, is devoted to the study of twoand three-dimensional boundary-value problems for eigenvalues of the Laplace operator with frequently alternating type of boundary conditions.
D. I. Borisov
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Asymptotic expansion of holonomy [PDF]
Forum Mathematicum, 2018 Abstract Given a principal bundle with a connection, we look for an asymptotic expansion of the holonomy of a loop in terms of its length. This length is defined relative to some Riemannian or sub-Riemannian structure. We are able to give an asymptotic formula that is independent of choice of gauge.
Grong, Erlend, Pansu, Pierre
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Mathematical Modelling and Analysis, 2023 In this study, we obtain asymptotic expansions for eigenvalues and eigenfunctions of the one–dimensional Sturm–Liouville equation with one classical Dirichlet type boundary condition and two-point nonlocal boundary condition.
Artūras Štikonas, Erdoğan Şen
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