Keywords: گسترش انسجام; Swallowtail integral; Asymptotic expansions; Modified saddle point method; 33E20; 41A60;
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Keywords: گسترش انسجام; Interface; Asymptotic expansions; Bonding; Reinforcement;
Keywords: گسترش انسجام; 65D32; 65D30; Asymptotic expansions; Filon-type methods; Clenshaw-Curtis-Filon-type methods; Recurrence relations; Fast Fourier transform;
Keywords: گسترش انسجام; 26A33; 34A08; 35B40; Fractional differential equations; Logistic equation; Asymptotic expansions; Mittag-Leffler functions;
Keywords: گسترش انسجام; Oscillatory integrals; Singularities; Asymptotic expansions; Filon-type method; FFT; Clenshaw-Curtis-Filon-type method;
Keywords: گسترش انسجام; Asymptotic expansions; Orthogonal polynomials; Hypergeometric functions;
Keywords: گسترش انسجام; C2; C13; O5; Sensitivity analysis; Simultaneity; Asymptotic expansions; Least-squares; Growth regression;
Keywords: گسترش انسجام; Linear elasticity problem; High-contrast coefficients; Asymptotic expansions; Highly inelastic inclusion; Convergence
Keywords: گسترش انسجام; Asymptotic expansions; Layered plates; Soft adhesive
Keywords: گسترش انسجام; Gamma function; Psi function; Inequalities; Asymptotic expansions; Bernoulli polynomials; Complete monotonicity
Keywords: گسترش انسجام; Camassa–Holm equation; Fractional Camassa–Holm equation; Nonlocal elasticity; Improved Boussinesq equation; Asymptotic expansions
Keywords: گسترش انسجام; Air-sealed centrifuge spinning; Curved liquid jet; Isolated and non-isolated liquid jet; Air drag; Navier–Stokes equations; Asymptotic expansions
Keywords: گسترش انسجام; primary, 47B35; secondary, 15A18, 15B05, 41A25, 65F15Toeplitz matrix; Eigenvalue problem; Asymptotic expansions
Keywords: گسترش انسجام; 15B52; 33C47; 34E05; 42C05; 47B35Hankel determinants; Elliptic orthogonal polynomials; Asymptotic expansions; Non-linear difference equations; Painlevé equations; Random matrix theory
Keywords: گسترش انسجام; Creep; Damage; Shell of revolution; Cyclic loading and heating; Asymptotic expansions; FEM code
Keywords: گسترش انسجام; Linear-quadratic problems; Cheap control; Discontinuous coefficients; Asymptotic expansions;
Keywords: گسترش انسجام; Algebraic analysis; Asymptotic expansions; Specialization; Normal deformation; Subanalytic sheaves;
Injectivity and surjectivity of the asymptotic Borel map in Carleman ultraholomorphic classes
Keywords: گسترش انسجام; Carleman ultraholomorphic classes; Asymptotic expansions; Proximate order; Borel-Ritt-Gevrey theorem; Watson's lemma; Laplace transform;
DRBEM solution of the Cauchy MHD duct flow with a slipping perturbed boundary
Keywords: گسترش انسجام; DRBEM; Cauchy MHD duct flow; Slip velocity; Boundary perturbation; Asymptotic expansions;
Complete asymptotic expansions related to conjecture on a Voronovskaja-type theorem
Keywords: گسترش انسجام; Bernstein operators; Voronovskaja theorem; Meyer-König and Zeller operators; Positive linear operators; Central moments; Asymptotic expansions;
Regularization with numerical extrapolation for finite and UV-divergent multi-loop integrals
Keywords: گسترش انسجام; Feynman loop integrals; UV singularities; Multivariate adaptive integration; Numerical iterated integration; Asymptotic expansions; Extrapolation/convergence acceleration;
Efficient computation of Laguerre polynomials
Keywords: گسترش انسجام; Laguerre polynomials; Computational algorithm; Asymptotic expansions; Recurrence relations;
More asymptotic expansions for the Barnes G-function
Keywords: گسترش انسجام; 33B15; 41A60; Asymptotic expansions; Barnes G-function; Bell polynomials; Bernoulli numbers;
A simple criterion for the existence of nonreal eigenvalues for a class of 2D and 3D Pauli operators
Keywords: گسترش انسجام; primary; 35P20; secondary; 81Q12; 35J10; Pauli operators; Complex matrix-valued potentials; Discrete spectrum; Asymptotic expansions;
Lp-Lq decay estimates for dissipative linear hyperbolic systems in 1D
Keywords: گسترش انسجام; 35L45; 35C20; Large-time behavior; Dissipative linear hyperbolic systems; Asymptotic expansions;
Zeta functions and oscillatory integrals for meromorphic functions
Keywords: گسترش انسجام; primary; 42B20; 11S40; secondary; 14B05; 14E15; 41A60; 11L07; Oscillatory integrals; Local zeta functions; Asymptotic expansions; Motivic zeta functions; Exponential sums; Meromorphic functions;
The Pearcey integral in the highly oscillatory region
Keywords: گسترش انسجام; Pearcey integral; Asymptotic expansions; Modified saddle point method33E20; 41A60
Asymptotic expansions related to hyperfactorial function and Glaisher-Kinkelin constant
Keywords: گسترش انسجام; Asymptotic expansions; Hyperfactorial function; Glaisher-Kinkelin constant; Bell polynomials; Bernoulli numbers; 41A60; 11Y60;
Singularity analysis for a V-notch with angularly inhomogeneous elastic properties
Keywords: گسترش انسجام; Angularly inhomogeneous elastic property; V-notch; Singularity analysis; Asymptotic expansions
Unfoldings of saddle-nodes and their Dulac time
Keywords: گسترش انسجام; 34C07; Period function; Unfolding of a saddle-node; Asymptotic expansions;
Effects of the bulk volume fraction on solutions of modified Poisson–Boltzmann equations
Keywords: گسترش انسجام; Poisson–Boltzmann; Robin boundary condition; Bulk volume fraction; Small Debye screening length; Monotonicity property; Asymptotic expansions
Expansions of generalized Euler's constants into the series of polynomials in π−2π−2 and into the formal enveloping series with rational coefficients only
Keywords: گسترش انسجام; Generalized Euler's constants; Stieltjes constants; Stirling numbers; Factorial coefficients; Series expansion; Divergent series; Semi-convergent series; Formal series; Enveloping series; Asymptotic expansions; Approximations; Bernoulli numbers; Harmonic
The Durrmeyer variant of an operator defined by D.D. Stancu
Keywords: گسترش انسجام; Approximation by positive operators; Rate of convergence; Degree of approximation; Asymptotic approximations; Asymptotic expansions
Convergent and asymptotic expansions of the Pearcey integral
Keywords: گسترش انسجام; Pearcey integral; Third order differential equations; Asymptotic expansions; Green functions; Fixed point theorems
Higher-order asymptotics for scoring rules
Keywords: گسترش انسجام; Asymptotic expansions; Hyvärinen scoring rule; Information identity; Likelihood asymptotics; Robustness; Third-order inference; Tsallis scoring rule;
A product formula for the eigenfunctions of a quartic oscillator
Keywords: گسترش انسجام; Quartic oscillator; Product formula; Kernel functions; Asymptotic expansions
Asymptotic expansions for SDE’s with small multiplicative noise
Keywords: گسترش انسجام; SDEs; Asymptotic expansions; Processes driven by multiplicative Lévy noise; Evolution equations
Summability in general Carleman ultraholomorphic classes
Keywords: گسترش انسجام; Laplace and Borel transforms; Formal power series; Asymptotic expansions; Ultraholomorphic classes; Summability; Moment-partial differential equations
An attempt to extend the 2D coupled criterion for crack nucleation in brittle materials to the 3D case
Keywords: گسترش انسجام; Finite fracture mechanics; Crack nucleation; 3D; Singularities; Asymptotic expansions
Analytical and numerical study of MHD natural convection in a horizontal shallow cavity with heat generation
Keywords: گسترش انسجام; MHD natural convection; Shallow cavity; Asymptotic expansions; Heat transfer; CFD;
Flat functions in Carleman ultraholomorphic classes via proximate orders
Keywords: گسترش انسجام; Carleman ultraholomorphic classes; Asymptotic expansions; Proximate order; Borel-Ritt-Gevrey theorem; Watson's lemma; Laplace transform; Extension operators;
Optimal rate of convergence for sequences of a prescribed form
Keywords: گسترش انسجام; Euler–Maclaurin formula; Asymptotic expansions; Euler–Mascheroni constant
Strong and ratio asymptotics for Laguerre polynomials revisited
Keywords: گسترش انسجام; Laguerre orthogonal polynomials; Asymptotic expansions;
The third Appell function for one large variable
Keywords: گسترش انسجام; Third Appell hypergeometric function; Asymptotic expansions; Mellin convolution integrals;
Approximation of a compressible Euler-Poisson equations by a non-isentropic Euler-Maxwell equations
Keywords: گسترش انسجام; Non-isentropic Euler-Maxwell equations; Compressible Euler-Poisson equations; Non-relativistic limit; Asymptotic expansions;
Small noise asymptotic expansions for stochastic PDE’s driven by dissipative nonlinearity and Lévy noise
Keywords: گسترش انسجام; 35C2060H15; 60651; primary, 35K57; secondary, 92B20, 35R60, 35C20SPDEs; Dissipative systems; Lévy processes; Stochastic convolution with Lévy processes; Asymptotic expansions; Polynomially bounded nonlinearity; Stochastic FitzHugh–Nagumo system; Small noi
Asymptotics of solutions for a basic case of fluid–structure interaction
Keywords: گسترش انسجام; Navier–Stokes equations; Asymptotic expansions; Exterior domain; Fluid–structure interaction
Proofs of two conjectures on the Landau constants
Keywords: گسترش انسجام; Asymptotic expansions; Hypergeometric Function; Landau constants;
Approximations for the higher order coefficients in an asymptotic expansion for the Gamma function
Keywords: گسترش انسجام; Asymptotic expansions; Gamma function;
Olver’s asymptotic method revisited; Case I
Keywords: گسترش انسجام; Second-order differential equations; Asymptotic expansions; Green’s function; Fixed point theorems