Results 1 to 10 of about 131,766 (286)

Uniform Convergence of the Spectral Expansion for a Differential Operator with Periodic Matrix Coefficients [PDF]

Boundary Value Problems, 2008
We obtain asymptotic formulas for eigenvalues and eigenfunctions of the operator generated by a system of ordinary differential equations with summable coefficients and the quasiperiodic boundary conditions.
O. A. Veliev
doaj   +7 more sources

Inverse Nodal Problem for Polynomial Pencil of a Sturm-Liouville Operator from Nodal Parameters [PDF]

Mathematics Interdisciplinary Research, 2021
A Sturm-Liouville problem with n-potential functions in the second order differential equation and which contains spectral parameter depending on linearly in one boundary condition is considered.
Sertac Goktas, Esengul Biten
doaj   +1 more source

The inverses of tails of the generalized Riemann zeta function within the range of integers

AIMS Mathematics, 2023
In recent years, many mathematicians researched infinite reciprocal sums of various sequences and evaluated their value by the asymptotic formulas. We study the asymptotic formulas of the infinite reciprocal sums formed as $ \left(\sum^{\infty}_{k = n ...
Zhenjiang Pan, Zhengang Wu
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Asymptotic analysis of Sturm–Liouville problem with nonlocal integral-type boundary condition

Nonlinear Analysis, 2021
In this study, we obtain asymptotic formulas for eigenvalues and eigenfunctions of the one-dimensional Sturm–Liouville equation with one classical-type Dirichlet boundary condition and integral-type nonlocal boundary condition.
Artūras Štikonas, Erdoğan Şen
doaj   +1 more source

OPE statistics from higher-point crossing

Journal of High Energy Physics, 2022
We present new asymptotic formulas for the distribution of OPE coefficients in conformal field theories. These formulas involve products of four or more coefficients and include light-light-heavy as well as heavy-heavy-heavy contributions.
Tarek Anous, Alexandre Belin, Jan de Boer, Diego Liska   +3 more
doaj   +1 more source

Integral Representations and Asymptotic Expansion Formulas of Mittag-Leffler-Type Function of Two Variables

Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2010
Special function generalizing Mittag-Leffler-type function for two variables is considered. Integral representations for this function in different variation range of arguments for a certain value of parameters is obtained.
N. S. Yashagin
doaj   +3 more sources

Spectral Radius Formulas Involving Generalized Aluthge Transform

Journal of Function Spaces, 2022
In this paper, we aim to develop formulas of spectral radius for an operator S in terms of generalized Aluthge transform, numerical radius, iterated generalized Aluthge transform, and asymptotic behavior of powers of S.
Zhiqiang Zhang, Muhammad Saeed Akram, Javariya Hyder, Ghulam Farid, Tao Yan   +4 more
doaj   +1 more source

Inferring the Eigenvalues and Eigenfunctions Asymptotically for the Eighth Order Boundary Value Problems

Tikrit Journal of Pure Science, 2022
In the present paper, we consider an eigenvalue problem generated by eight- order differential equations with suitable boundary conditions, that containing a spectral parameter.
Aryan Ali Mohammed, Rebaz Fadhil Mahmood
doaj   +1 more source

Asymptotics of a fundamental solution system for a quasidifferential equation with measures on the semiaxis

Karpatsʹkì Matematičnì Publìkacìï, 2014
With the help of a conception of quasiderivatives asymptotic formulas for a fundamental solution system of a quasidifferential equation with measures on the semiaxis $[0,\infty)$ are constructed.
O.V. Makhnei
doaj   +1 more source

A remark on Mirzakhani’s asymptotic formulae [PDF]

Asian Journal of Mathematics, 2014
11 ...
Liu, Kefeng, Xu, Hao
openaire   +3 more sources