Found 100 Documents (Results 1–100)
Exact solution of electroosmotic flow of the second grade fluid in a circular microchannel driving by an AC electric field. (English) Zbl 1540.76254
Fast numerical integration of highly oscillatory Bessel transforms with a Cauchy type singular point and exotic oscillators. (English) Zbl 07845585
Symplectic method-based analytical solutions of thermal buckling for shear deformable circular functionally graded plates. (English) Zbl 1535.74156
Efficient computational methods of highly oscillatory Bessel transforms with a singular point of Cauchy type and a nonlinear special oscillator. (English) Zbl 1531.65044
A fast, rapidly convergent Nyström solver for electromagnetic scattering from orthotropic media. (English) Zbl 1538.65626
An efficient quadrature rule for the oscillatory infinite generalized Bessel transform with a general oscillator and its error analysis. (English) Zbl 1518.65025
New expression for CDF of \(\chi_{\nu}^{\prime 2}(\lambda)\) distribution and Marcum \(Q_1\) function. (English) Zbl 1506.60023
Numerical methods for Cauchy principal value integrals of oscillatory Bessel functions. (English) Zbl 1483.65039
Representation formulae for nonhomogeneous differential operators and applications to PDEs. (English) Zbl 1484.35143
A Fredholm transformation for the rapid stabilization of a degenerate parabolic equation. (English) Zbl 1472.93154
Asymptotic expansion and quadrature rule for a class of singular-oscillatory-Bessel-type transforms. (English) Zbl 1452.65046
On the unsteady rotating fluid flow in a uniformly rotating or fixed vertical cylinder. (English) Zbl 07676772
Some expansion formulas for incomplete \(H\)- and \(\overline{H}\)-functions involving Bessel functions. (English) Zbl 1486.33003
Lommel matrix functions. (English) Zbl 1491.33003
Formulas and inequalities for some special functions of a complex variable. (English) Zbl 07216543
Breaz, Daniel (ed.) et al., Advancements in complex analysis. From theory to practice. Cham: Springer. 299-318 (2020).
Bounds for modified Lommel functions of the first kind and their ratios. (English) Zbl 1435.33005
MSC:
33C10
Asymptotic analysis and numerical methods for oscillatory infinite generalized Bessel transforms with an irregular oscillator. (English) Zbl 07161486
An accurate approximation of exponential integrators for the Schrödinger equation. (English) Zbl 1447.65110
Spectral shape optimization for the Neumann traces of the Dirichlet-Laplacian eigenfunctions. (English) Zbl 1410.35090
Reviewer: Dian K. Palagachev (Bari)
Hypergeometric solutions for Coulomb self-energy model of uniformly charged hollow cylinder. (English) Zbl 1408.33011
Univalence criteria for general integral operators using the Struve and Bessel functions. (English) Zbl 1499.30074
MSC:
30C45
Hypergeometric solutions to a three dimensional dissipative oscillator driven by aperiodic forces. (English) Zbl 1480.70034
MSC:
70K40
Error bounds for the large-argument asymptotic expansions of the Lommel and allied functions. (English) Zbl 1396.33010
Convergence of a low order non-local Navier-Stokes-Korteweg system: the order-parameter model. (English) Zbl 1360.35168
Vector potentials for the gravitational interaction of extended bodies and laminas with analytical solutions for two disks. (English) Zbl 1342.70025
MSC:
70F05
Numerical approximations for highly oscillatory Bessel transforms and applications. (English) Zbl 1298.65193
Analytical formulas for shear and bulk viscosities in relativistic gaseous mixtures with constant cross sections. (English) Zbl 1391.76881
On the implementation of the asymptotic Filon-type method for infinite integrals with oscillatory Bessel kernels. (English) Zbl 1364.65058
MSC:
65D30
Infinite integrals involving Bessel functions by an improved approach of contour integration and the residue theorem. (English) Zbl 1304.30053
Asymptotic behaviour of infinite chains of coupled kinematic points: second-order equations. (English) Zbl 1294.93012
Topological invariants of eigenvalue intersections and decrease of Wannier functions in graphene. (English) Zbl 1401.82064
Reviewer: Yulianna Perepelkina (Moskva)
A note on the asymptotic expansion of generalized hypergeometric functions. (English) Zbl 1282.33012
The inverse Laplace transform of the modified Lommel functions. (English) Zbl 1266.33007
Reviewer: Chrysoula G. Kokologiannaki (Patras)
Efficient methods for Volterra integral equations with highly oscillatory Bessel kernels. (English) Zbl 1268.65171
Reviewer: Neville Ford (Chester)
Neumann series of Bessel functions. (English) Zbl 1259.40001
Reviewer: József Sándor (Cluj-Napoca)
A limit of the confluent Heun equation and the Schrödinger equation for an inverted potential and for an electric dipole. (English) Zbl 1316.81025
J. Math. Phys. 50, No. 12, 123511, 22 p. (2009); erratum ibid. 52, No. 4, 049901, 1 p. (2011).
Integral representation for Neumann series of Bessel functions. (English) Zbl 1171.33003
Reviewer: Juri M. Rappoport (Moskva)
Iterative approximation for a boundary value problem arising for the electrical potential on a cylindrical double layer. (English) Zbl 1165.35049
Reviewer: Aleksander Pankov (Baltimore)
Optimizing an objective function under a bivariate probability model. (English) Zbl 1114.90046
Eur. J. Oper. Res. 179, No. 2, 444-458 (2007); comment ibid. No. 1, 321-322 (2009).
A note on Love’s equation with damping. (English) Zbl 1149.74344
MSC:
74H99
35Q72
Incomplete exponential and hypergeometric functions with applications to the non central \(\chi^2\)-distribution. (English) Zbl 1124.33003
Reviewer: P. R. Parthasarathy (Karlsruhe)
Comments on “Asymptotic expansion of a Bessel function integral using hypergeometric functions” by L. J. Landau and N. J. Luswili. (English) Zbl 1114.33004
Reductions of a generalized incomplete gamma function, related Kampé de Fériet functions, and incomplete Weber integrals. (English) Zbl 0978.33006
Reviewer: Per W.Karlsson (Lyngby)
The long-time behavior of initially separated \(\text{A+B}\to 0\) reaction-diffusion systems with arbitrary diffusion constants. (English) Zbl 0952.35500
Analytical solutions and a numerical algorithm for the Gauss’s hypergeometric function \(_ 2F_ 1(a,b;c;z)\). (English) Zbl 0820.33002
Wave splitting of the Timoshenko beam equation in the time domain. (English) Zbl 0820.73038
MSC:
74K10
35Q72
Boundary element method solution of MHD flow in a rectangular duct. (English) Zbl 0814.76063
Reviewer: T.Zlatanovski (Skopje)
On a Bessel function integral. (English) Zbl 0755.65021
Reviewer: M.Gaşpar (Iaşi)
On semi-classical linear functionals of class \(s=1\). Classification and integral representations. (English) Zbl 0783.33003
Reviewer: M.G.de Bruin (Delft)
A special class of two dimensional exponential-Bessel series of Fox’s H- function. (English) Zbl 0774.33007
Reviewer: R.K.Raina (Udaipur)
MSC:
33C60
Evaluation of integrals and the Mellin transform. (English. Russian original) Zbl 0725.44001
J. Sov. Math. 54, No. 6, 1239-1341 (1991); translation from Itogi Nauki Tekh., Ser. Mat. Anal. 27, 3-146 (1989).
Reviewer: A.L.Brodskij (Severodonetsk)
Improving the numerical evaluation of certain oscillatory integrals. (English) Zbl 0679.65009
Reviewer: P.Narain
A Lipschitz-Hankel integral of \(K_ 0\). (English) Zbl 0674.33003
Reviewer: St.Kus
A unified theory of polynomial expansions and their applications involving Clebsch-Gordan type linearization relations and Neumann series. (English) Zbl 0644.33006
Computation of Fourier and Laplace tansforms of singular functions using modified moments. (English) Zbl 0625.65148
Reviewer: C.L.Koul
Ein analytisches Verfahren zur Berechnung der Untergrundkopplung von mehreren starren, auf der Halbraumoberflaeche liegenden Streifenfundamenten bei harmonischer Erregung. (German) Zbl 0496.73009
Laminare, instationäre Strömung im Ringraum zwischen zwei Rohren, von denen das innere harmonisch schwingt. (German) Zbl 0484.76036
MSC:
76D05
Surface settlement of a finite elastic layer whose modulus increases linearly with depth. (English) Zbl 0387.73015
Unsteady elastico-viscous flow in a curved pipe. (English) Zbl 0324.76002
MSC:
76A10
A note on the numerical evaluation of finite integrals of oscillatory functions. (English) Zbl 0302.65015
MSC:
65D30
Das Strömungsfeld in der Umgebung einer längsangeströmten ebenen Platte im Bereich der freien Molekülströmung. (German) Zbl 0323.76056
MSC:
76P05
Some definite integrals of the product of two Bessel functions of the second kind: (order zero). (English) Zbl 0282.33015
A priori bounds for flow past a paraboloid. (English) Zbl 0274.76021
MSC:
76D05
On the solution of the monoenergetic neutron Boltzmann equation in cylindrical geometry. (English) Zbl 0296.45019
Uniform computation of the error function and other related functions. (English) Zbl 0218.33002
MSC:
33B20
An algorithm for generating sequences defined by non-homogeneous difference equations. (English) Zbl 0239.65095
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