New sequences with continued fraction towards Euler’s constant
Keywords: بسط مجانبی; Euler’s constant; Continued fraction; Rate of convergence; Asymptotic expansion; Inequalities
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Asymptotic expansions and completely monotonic functions associated with the gamma, psi and polygamma functions
Keywords: بسط مجانبی; Gamma function; Psi function; Polygamma functions; Asymptotic expansion; Completely monotonic functions; Primary 33B15; Secondary 41A60; 26A48;
Estimations of psi function and harmonic numbers
Keywords: بسط مجانبی; Asymptotic expansion; Digamma function; Euler constant; Harmonic numbers; Exponential function; Approximation;
Third-order local power properties of tests for a composite hypothesis, II
Keywords: بسط مجانبی; 62E20; 62F03; 62F05; Asymptotic expansion; Bartlett-type adjustment; Local alternative; Local power of test; Nuisance parameter;
Eigenvalues of Hermitian Toeplitz matrices with smooth simple-loop symbols
Keywords: بسط مجانبی; Toeplitz matrix; Eigenvalue; Asymptotic expansion; Spectral asymptotics;
Pricing approximations and error estimates for local Lévy-type models with default
Keywords: بسط مجانبی; Partial integro-differential equation; Asymptotic expansion; Pseudo-differential calculus; Option pricing; Lévy-type process; Defaultable asset;
Pressure driven lubrication flow of a Bingham fluid in a channel: A novel approach
Keywords: بسط مجانبی; Bingham fluid; Lubrication theory; Asymptotic expansion; Numerical simulations;
Asymptotic expansion of the trace of the heat kernel associated to the Dirichlet-to-Neumann operator
Keywords: بسط مجانبی; 35P20; 53C44; 58J35; 58J50Dirichlet-to-Neumann operator; Steklov eigenvalue; Heat kernel associated to Dirichlet-to-Neumann operator; Asymptotic expansion; Curvature
Some quicker classes of sequences convergent to Euler’s constant
Keywords: بسط مجانبی; Euler’s constant; Rate of convergence; Asymptotic expansion
Asymptotic expansions of the Glaisher–Kinkelin and Choi–Srivastava constants
Keywords: بسط مجانبی; 41A60Glaisher–Kinkelin constant; Choi–Srivastava constants; Asymptotic expansion; Bernoulli numbers
Asymptotic expansions for Barnes G-function
Keywords: بسط مجانبی; primary; 33B15; secondary; 41A60; Gamma function; Barnes G-function; Bernoulli numbers; Asymptotic expansion;
Asymptotic expansions of the gamma function related to Windschitl's formula
Keywords: بسط مجانبی; Gamma function; Windschitl's formula; Asymptotic expansion;
Analysis of heat flux singularity at 2D notch tip by singularity analysis method combined with boundary element technique
Keywords: بسط مجانبی; Heat flux singularity; Asymptotic expansion; Singularity analysis; Boundary element method
A new quicker sequence convergent to Eulerʼs constant
Keywords: بسط مجانبی; 11Y60; 41A25; 34E05Eulerʼs constant; Rate of convergence; Asymptotic expansion
Drawdown in prolate spheroidal–spherical coordinates obtained via Green’s function and perturbation methods
Keywords: بسط مجانبی; Groundwater flow equation; Prolate spheroidal coordinates; Asymptotic expansion; Green’s function; Numerical errors
An asymptotic expansion-based method for a spectral approach in equivalent statistical linearization
Keywords: بسط مجانبی; Equivalent linearization; Stochastic modal analysis; Asymptotic expansion; Wind engineering; Earthquake engineering; Nonlinear dynamics
Some new quicker approximations of Glaisher–Kinkelin's and Bendersky–Adamchik's constants
Keywords: بسط مجانبی; 11Y60; 11A55; 41A25Glaisher–Kinkelin's constant; Bendersky–Adamchik's constants; Rate of convergence; Asymptotic expansion
Asymptotic profiles for the third grade fluids׳ equations
Keywords: بسط مجانبی; Fluid mechanics; Third grade fluids; Asymptotic expansion;
Berezin transform on harmonic Bergman spaces on the real ball
Keywords: بسط مجانبی; Berezin transform; Bergman kernel; Asymptotic expansion; Generalized hypergeometric function
Asymptotics of the partition function of a Laguerre-type random matrix model
Keywords: بسط مجانبی; Asymptotic expansion; Partition function; Laguerre-type; Riemann–Hilbert approach
Let's fix it: Fixed-b asymptotics versus small-b asymptotics in heteroskedasticity and autocorrelation robust inference
Keywords: بسط مجانبی; C13; C14; C32; C51; Asymptotic expansion; F-distribution; Heteroskedasticity and autocorrelation robust; Long-run variance; Robust standard error; Testing-optimal smoothing parameter choice; Type I and type II errors;
An effective model for the lubrication with micropolar fluid
Keywords: بسط مجانبی; Micropolar fluid; Lubrication; Asymptotic expansion; Higher-order model
A note on approximate Bayesian credible sets based on modified loglikelihood ratios
Keywords: بسط مجانبی; Asymptotic expansion; Laplace approximation; Modified likelihood root; Tail area probability
Limits and inequalities associated with the Euler-Mascheroni constant
Keywords: بسط مجانبی; Euler-Mascheroni constant; Harmonic numbers; Inequality; Psi function; Polygamma functions; Asymptotic expansion;
Objective Bayesian higher-order asymptotics in models with nuisance parameters
Keywords: بسط مجانبی; Asymptotic expansion; Directed and modified directed likelihood; Matching prior; Modified profile likelihood; Tail area probability
On the discontinuity solution of the Lord–Shulman model in generalized thermoelasticity
Keywords: بسط مجانبی; Generalized thermoelasticity; Lord–Shulman model; Eigenvalue approach; Asymptotic expansion
Approximants of the Euler–Mascheroni constant and harmonic numbers
Keywords: بسط مجانبی; Euler–Mascheroni constant; Harmonic numbers; Asymptotic expansion; Digamma function
Modeling of solute dispersion in a circular pipe filled with micropolar fluid
Keywords: بسط مجانبی; Micropolar fluid; Reactive solute; Thin pipe; Asymptotic expansion
Approximate analytical solutions of singularly perturbed fourth order boundary value problems using differential transform method
Keywords: بسط مجانبی; 34B05; 41A58; 65D99; 34E05Analytic approximations; Differential transform method; Singularly perturbed fourth-order boundary-value problems; Asymptotic expansion
Zero-electron-mass limit and zero-relaxation-time limit in a multi-dimensional stationary bipolar Euler–Poisson system
Keywords: بسط مجانبی; Subsonic solutions; Zero-electron-mass limit; Zero-relaxation-time limit; Asymptotic expansion; Energy estimates
On asymptotic expansion of the harmonic Berezin transform on the half-space
Keywords: بسط مجانبی; Berezin transform; Harmonic Bergman kernel; Harmonic functions; Asymptotic expansion;
On a singularly perturbed initial value problem in the case of a double root of the degenerate equation
Keywords: بسط مجانبی; 34A12; 34E05; 34E15Singularly perturbed first order ordinary differential equation; Initial value problem; Boundary layer; Double root of degenerate equation; Asymptotic expansion
Analysis of the stress singularity for a bi-material V-notch by the boundary element method
Keywords: بسط مجانبی; Bi-material V-notch; Asymptotic expansion; Stress singularity order; Generalized singularity intensity factor; Boundary element method
Efficient quadrature of highly oscillatory integrals with algebraic singularities
Keywords: بسط مجانبی; 65D32; 65D30Oscillatory integrals; Asymptotic expansion; Filon-type method; FFT; Clenshaw–Curtis–Filon-type method
The extrapolation of numerical eigenvalues by finite elements for differential operators
Keywords: بسط مجانبی; Spectral approximation; Multiple eigenvalue; Finite element; Asymptotic expansion; Splitting extrapolation;
Third-order local power properties of tests for a composite hypothesis
Keywords: بسط مجانبی; 62E20; 62F03; 62F05; Asymptotic expansion; Bartlett-type adjustment; Local alternative; Local power of test; Nuisance parameter; Sensitivity analysis;
The expected area of the Wiener sausage swept by a disc
Keywords: بسط مجانبی; primary, 60J65; secondary, 60J45Wiener sausage; Brownian hitting time; Brownian bridge; Ramanujan’s function; Asymptotic expansion; Laplace inversion
Martingale expansion in mixed normal limit
Keywords: بسط مجانبی; Asymptotic expansion; Martingale; Mixed normal distribution; Malliavin calculus; Random symbol; Double Itô integral; Quadratic form
On an open problem of Chen and Mortici concerning the Euler-Mascheroni constant
Keywords: بسط مجانبی; Euler-Mascheroni constant; Bell polynomials; Logarithmic type Bell polynomials; Asymptotic expansion;
Remarks on asymptotic expansions for the gamma function
Keywords: بسط مجانبی; Gamma function; Bernoulli numbers; Asymptotic expansion
MHD shear flows with non-constant transverse magnetic field
Keywords: بسط مجانبی; MHD shear flow; Hartmann layer; Asymptotic expansion
An extension of the Fock current distribution functions
Keywords: بسط مجانبی; Fock function; Integral representation; Asymptotic expansion; Diffraction
Equivalent mechanical properties of auxetic lattices from discrete homogenization
Keywords: بسط مجانبی; Beam lattices; Discrete homogenization; Asymptotic expansion; Auxetic material; Cellular material
Full asymptotic expansions of the Landau constants via a difference equation approach
Keywords: بسط مجانبی; Landau constants; Second-order linear difference equation; Asymptotic solution; Asymptotic expansion;
Comparison between Darcy and Brinkman laws in a fracture
Keywords: بسط مجانبی; Brinkman law; Darcy law; Porous medium; Asymptotic expansion
On the asymptotic expansion treatment of two-scale finite thermoelasticity
Keywords: بسط مجانبی; Finite thermoelasticity; Multiscale; Homogenization; Asymptotic expansion
Elliptic-like regularization of semilinear evolution equations
Keywords: بسط مجانبی; Semilinear evolution equation; Elliptic-like regularization; Higher regularity of solutions; Singular perturbation; Asymptotic expansion
Flow of a Bingham-like fluid in a finite channel of varying width: A two-scale approach
Keywords: بسط مجانبی; Bingham flow; Asymptotic expansion; Partial differential equations;
Higher-order asymptotic expansions of the least-squares estimation bias in first-order dynamic regression models
Keywords: بسط مجانبی; ARX-model; Asymptotic expansion; Bias approximation; Lagged dependent variable; Monte Carlo simulation
On reactive solute transport through a curved pipe
Keywords: بسط مجانبی; Reactive solute; Taylor dispersion; Curved pipe; Asymptotic expansion