Keywords: 65Q30; 15A18; 33C10; 65F10; 65F15; Unstable recurrences; Bessel functions; Eigenvectors; Lanczos method;
مقالات ISI (ترجمه نشده)
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Keywords: 33C10; 33C45; 33E20; Laguerre-Gould-Hopper polynomials; Bessel functions; Jacobi-Anger expansion; Tricomi functions; operational rules;
Keywords: 15A15; 33C15; 33C10; Hankel determinant; Coulomb wave function; Bessel function; Rayleigh function;
Keywords: primary; 11E25; secondary; 33C10; 30B40; Sums of squares; Bessel functions; Voronoï summation formula; Analytic continuation;
Keywords: 39B62; 33C10; Stochastic Kuramoto model; Asymptotic order parameter; Modified Bessel functions; Turán type inequalities; Approximation; Lagrange inversion; Monotonicity properties; Bounds;
Keywords: 33F10; 33C45; 33C10; Definite integrals; Special functions; Hypergeometric series; Computer algebra;
Keywords: 42C05; 31A99; 33C10; 33C45; Universality; Orthogonal polynomials; Christoffel-Darboux kernel; Generalized Jacobi measure; Riemann-Hilbert method; Christoffel functions;
Keywords: primary; 11M06; 33C10; secondary; 33E30; 11N37; Divisor problem; Circle problem; Ramanujan's Lost Notebook; Voronoï summation formula; Koshliakov transforms; Bessel functions; Self-reciprocal functions; Wigert's identity; Double Bessel series identities;
Keywords: primary; 33C10; 33B10; secondary; 26D15; 33B15; Logarithmically concave functions; Fractional integrals; Trigonometric integrals; Lommel functions; Monotonicity properties; Turán type inequalities;
Keywords: Bell polynomials; Bessel functions; Combinatorial analysis11B73; 33C10
Keywords: primary; 11M06; secondary; 33C10; Riemann Î-function; Bessel functions; Integral identities; Koshlyakov; Ramanujan;
Keywords: differential subordination; univalent functions; Hadamard product; admissible functions; generalized Bessel functions30C45; 33C10; 30C80
Keywords: 33C10; 33C80; 33E20Generalized Tricomi functions; Lie algebra representation; Generating relations
Keywords: primary; : 11P21; secondary; 33C10; 11L07; Circle problem; Bessel functions; Ramanujan's lost notebook;
On the Weber type integral equation related to the Weber-Titchmarsh problem
Keywords: primary; 44A15; 44A35; 33C10; secondary; 33C05; 45E99; Weber-Orr integral transforms; Mellin transform; Bessel functions; Gauss's hypergeometric function;
On the Cesà ro average of the numbers that can be written as sum of a prime and two squares of primes
Keywords: primary; 11P32; secondary; 44A10; 33C10; Goldbach-type theorems; Laplace transforms; Cesà ro average;
Bernoulli-Dunkl and Apostol-Euler-Dunkl polynomials with applications to series involving zeros of Bessel functions
Keywords: primary; 11B68; secondary; 42C10; 33C10; 11M41; Appell-Dunkl sequences; Bernoulli-Dunkl polynomials; Apostol-Euler-Dunkl polynomials; Dunkl kernel; Fourier-Dunkl series; Zeros of Bessel functions; Rayleigh functions;
Improvement of the lower bound of the PCM quantization error for vectors in R2
Keywords: 42C15; 33C10; 42A05; Unit-norm tight frames; PCM quantization error; Bessel functions;
Plancherel–Rotach type asymptotics of the sieved Pollaczek polynomials via the Riemann–Hilbert approach
Keywords: 41A60; 33C10; 33C45Uniform asymptotics; Discrete orthogonal polynomials; Riemann–Hilbert approach; Sieved Pollaczek polynomials; Airy function
The lower bound of the PCM quantization error in high dimensions
Keywords: 42C15; 33C10; 42A05Unit-norm tight frames; PCM quantization error; Bessel functions; Orthogonal polynomials
Spectral large sieve inequalities for Hecke congruence subgroups of SL(2,Z[i])
Keywords: 11F30*; 11F37; 11F70; 11F72; 11L05; 11L07; 11M41; 11N35; 11R42; 22E30; 33C10; 44A15; Spectral theory; Large sieve; Hecke congruence group; Gaussian integers; Summation formula; Automorphic form; Cusp form; Non-holomorphic modular form; Fourier coefficient
A unified approach to the integrals of Mellin-Barnes-Hecke type
Keywords: 33C05; 33C10; 33C15; Gamma function; Fourier transforms; Pull-backs of distributions;
Functional inequalities for modified Bessel functions
Keywords: 39B62; 33C10; 62H10Functional inequalities; Modified Bessel functions; Convexity with respect to Hölder means; Log-convexity; Geometrical convexity; Gamma–gamma distribution; Turán-type inequality
Character analogues of theorems of Ramanujan, Koshliakov and Guinand
Keywords: 33C10; Character analogues; Koshliakovʼs formula; Guinandʼs formula; Ramanujanʼs Lost Notebook; Modified Bessel functions; Divisor functions;
On the eigenvalue problem for a particular class of finite Jacobi matrices
Keywords: 47B36; 15A18; 33C10; Tridiagonal matrix; Finite Jacobi matrix; Eigenvalue problem; Characteristic function;
Occupation times and Bessel densities
Keywords: 60J27; 60J28; 60J35; 33C10
Holonomic rank of AA-hypergeometric differential-difference equations
Keywords: 16S32; 33C70; 33C10; 39A99
Spectral analysis of the finite Hankel transform and circular prolate spheroidal wave functions
Keywords: 33E10; 33C10; 34L16; 42C05; 65D32Eigenvalues and eigenfunctions; Finite Hankel transform; Circular prolate spheroidal wave functions; Bessel functions; Jacobi polynomials; Quadrature formulae
Incomplete Bessel, generalized incomplete gamma, or leaky aquifer functions
Keywords: 33B20; 33C10; 41A58Generalized incomplete gamma functions; Incomplete Bessel functions
Functional inequalities involving Bessel and modified Bessel functions of the first kind
Keywords: 33C10; 33C15; 26D05Bessel functions; Modified Bessel functions; Kummer's hypergeometric functions; Turán-type inequality; Lazarević-type inequality; Wilker's inequality
Note on the complex zeros of Hνâ²(x)+iζHν(x)=0
Keywords: 33C10; 34E05; 78A45; Zeros of special functions; Asymptotic expansions; Iterative solution;
The Bessel differential equation and the Hankel transform
Keywords: primary, 34B24; 34B30; 33C10; secondary, 34L05; 33C05Bessel differential equation; Titchmarsh–Weyl mm-coefficient; Hankel transform; Friedrichs extension
Principal directions of the general Pareto distribution with applications
Keywords: 33C10; 62H20; 62H25; 62E15; 62G10; Orthogonal expansions; Principal components; Continuous scaling; Bessel-Lommel equation; Rao's quadratic entropy;
Comments on “Asymptotic expansion of a Bessel function integral using hypergeometric functions” by L.J. Landau and N.J. Luswili
Keywords: 33C10; 33C20; 33C60; 41A60; Asymptotic expansion; Generalized hypergeometric function; Integral of a product of Bessel functions;
Some expansions of the exponential integral in series of the incomplete Gamma function
Keywords: primary; 33B20; 33C10; secondary; 33C20; Exponential integrals; Incomplete Gamma functions; Hypergeometric functions; Bilateral expansions; Hadamard expansion; Modified Bessel function;
Separation of variables for the nonlinear wave equation in cylindrical coordinates
Keywords: 35L05; 35J05; 33C10; 76B15; Bessel functions; Cylindrical coordinates; Nonlinear waves; Helmholtz equation;
Radial basis functions and corresponding zonal series expansions on the sphere
Keywords: 42C10; 42A82; 33C10; 33C45; Radial basis functions; Zonal basis functions; Positive definite functions; Conditionally positive definite functions; Bessel functions; Gegenbauer polynomials; Kriging;
On the temporal order of first-passage times in one-dimensional lattice random walks
Keywords: 41A60; 60G50; 33C10; Random walk; Asymptotic expansion; Modified Bessel function;