Keywords: چندجملهای بل; primary; 05A19; 60E05; secondary; 11M35; 33C45; Generalized Stirling numbers of the second kind; Sum of powers formula; Difference operators; Bell polynomials; Polylogarithms; Appell polynomials;
مقالات ISI چندجملهای بل (ترجمه نشده)
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Keywords: چندجملهای بل; 40A25; 11B73; 11B83; 11M06; 05A15; Euler sums; Stirling sums; Bell polynomials; Generating functions; Riemann zeta function;
Keywords: چندجملهای بل; Bell polynomials; Bivariate normal distribution; Expansions;
Keywords: چندجملهای بل; 33B15; 41A60Approximations; Gamma function; Bell polynomials
Keywords: چندجملهای بل; Bell polynomials; Bessel functions; Combinatorial analysis11B73; 33C10
Keywords: چندجملهای بل; Painlevé analysis; Bell polynomials; Bäcklund transformation; Lax pair; Conservation laws
Keywords: چندجملهای بل; Bell polynomials; Expansions; Normal distribution
Keywords: چندجملهای بل; Bell polynomials; Homogeneous recurrence equations; Non-homogeneous recurrence equations
Keywords: چندجملهای بل; Multivariate Stirling polynomials; Bell polynomials; Faà di Bruno formula; Inversion laws; Stirling numbers; Lagrange inversion
Keywords: چندجملهای بل; density of states; low temperature series expansion; Bell polynomials; combinatorics; lattice models;
Keywords: چندجملهای بل; Multipartitional polynomials; Polynomial sequences of multinomial type; Bell polynomials
Keywords: چندجملهای بل; primary, 26D15; secondary, 33B15Constants of Landau and Lebesgue; Gamma function; Psi function; Asymptotic expansion; Stirling numbers of the second kind; Bernoulli numbers and polynomials; Bell polynomials; Partition function
Keywords: چندجملهای بل; primary; 11B75; secondary; 05A15; 05A18; 11A07; Bell polynomials; Derangement polynomials; Stirling numbers; Congruences;
Keywords: چندجملهای بل; Fluids; (3+1)(3+1)-dimensional generalized variable-coefficient B-type Kadomtsev–Petviashvili equation; Bell polynomials; Soliton solutions; Bäcklund transformation
Solitons, periodic waves, breathers and integrability for a nonisospectral and variable-coefficient fifth-order Korteweg-de Vries equation in fluids
Keywords: چندجملهای بل; Fluids; Nonisospectral and variable-coefficient fifth-order Korteweg-de Vries equation; Bell polynomials; Hirota method; N-soliton solutions; Bäcklund transformation; Lax pair; Periodic waves; Breathers;
More asymptotic expansions for the Barnes G-function
Keywords: چندجملهای بل; 33B15; 41A60; Asymptotic expansions; Barnes G-function; Bell polynomials; Bernoulli numbers;
Solitons, Bäcklund transformation and Lax pair for a (2+1)-dimensional Broer-Kaup-Kupershmidt system in the shallow water of uniform depth
Keywords: چندجملهای بل; Shallow water of uniform depth; (2+1)-Dimensional broer-Kaup-Kupershmidt system; Bell polynomials; Soliton solutions; Bäcklund transformation; Lax pair;
Asymptotic expansions related to hyperfactorial function and Glaisher-Kinkelin constant
Keywords: چندجملهای بل; Asymptotic expansions; Hyperfactorial function; Glaisher-Kinkelin constant; Bell polynomials; Bernoulli numbers; 41A60; 11Y60;
On photon statistics parametrized by a non-central Wishart random matrix
Keywords: چندجملهای بل; Photocounter; Mixed Poisson distribution; Non-central Wishart random matrix; Symbolic method of moments; Cumulant; Polykay; Bell polynomials
Bäcklund transformations, Lax system, conservation laws and multisoliton solutions for Jimbo-Miwa equation with Bell-polynomials
Keywords: چندجملهای بل; Bell polynomials; Jimbo-Miwa equation; Lax system; Bäcklund transformations; Infinite conservation laws; Extended three wave method;
Bell polynomials approach for two higher-order KdV-type equations in fluids
Keywords: چندجملهای بل; Bell polynomials; Hirota bilinear method; Sawada-Kotera-type equation; Lax-type equation;
On periodic wave solutions with asymptotic behaviors to a (3+1)-dimensional generalized B-type Kadomtsev-Petviashvili equation in fluid dynamics
Keywords: چندجملهای بل; A (3+1)-dimensional generalized B-type Kadomtsev-Petviashvili equation; Bell polynomials; Riemann theta function; Soliton solution; Periodic solution;
Analytical study on a two-dimensional Korteweg–de Vries model with bilinear representation, Bäcklund transformation and soliton solutions
Keywords: چندجملهای بل; Bell polynomials; Bell-polynomial-typed Bäcklund transformation; Two-dimensional Korteweg–de Vries model; Bilinear method; Symbolic computation
Inverse binomial series and values of Arakawa–Kaneko zeta functions
Keywords: چندجملهای بل; 11M06; 11M41; 11Y60; 33B30Harmonic sums; Binomial transformations; Bell polynomials; Polylogarithms; Log-sine integrals; Mellin transforms; Zeta values
PDEBellII: A Maple package for finding bilinear forms, bilinear Bäcklund transformations, Lax pairs and conservation laws of the KdV-type equations
Keywords: چندجملهای بل; Symbolic computation; Bell polynomials; Lax pair; Bäcklund transformation; Conservation laws
Some results on Whitney numbers of Dowling lattices
Keywords: چندجملهای بل; Bell polynomials; Congruences; Dowling lattices; Eulerian polynomials; Hankel determinant; Whitney numbers05B35; 05A15; 11B73
Soliton solutions and integrability for the generalized variable-coefficient extended Korteweg–de Vries equation in fluids
Keywords: چندجملهای بل; Bell polynomials; NN-soliton solutions; Bäcklund transformation; Lax pair
Asymptotic expansions related to Glaisher–Kinkelin constant based on the Bell polynomials
Keywords: چندجملهای بل; 11Y60; 40A05Asymptotic formula; Glaisher–Kinkelin constant; Bernoulli numbers; Bell polynomials; Partition function
Partition Function of the Model of Perfect Gas of Clusters for Interacting Fluids
Keywords: چندجملهای بل; Bell polynomials; lattice models; clusters model; exponential formula
Expansions for bivariate extreme value distributions
Keywords: چندجملهای بل; Bell polynomials; Expansions; Moments
Log-concavity of compound distributions with applications in stochastic optimization
Keywords: چندجملهای بل; Log-concavity; Compound distributions; Bell polynomials; Stochastic optimization
An integrable hierarchy and Darboux transformations, bilinear Bäcklund transformations of a reduced equation
Keywords: چندجملهای بل; Integrable hierarchy; Bäcklund transformation; Bell polynomials
Bilinear Equations and Resonant Solutions Characterized by Bell Polynomials
Keywords: چندجملهای بل; bilinear equation; resonant solution; Bell polynomials; 02.30.Ik; 02.30.Xx; 05.45.Yv;
On an open problem of Chen and Mortici concerning the Euler-Mascheroni constant
Keywords: چندجملهای بل; Euler-Mascheroni constant; Bell polynomials; Logarithmic type Bell polynomials; Asymptotic expansion;
Bell-polynomial construction of Bäcklund transformations with auxiliary independent variable for some soliton equations with one Tau-function
Keywords: چندجملهای بل; Bell polynomials; Bell-polynomial-typed Bäcklund transformation; Shallow water wave equation; Lax fifth-order KdV equation; (2+1)- and (3+1)-dimensional breaking soliton equations; Symbolic computation
On some expansions for the Euler Gamma function and the Riemann Zeta function
Keywords: چندجملهای بل; 11B83; 11M06; Euler Gamma function; Riemann Zeta function; Bell polynomials; Potential polynomials; Mittag-Leffler polynomials; Derivative polynomials;
Bell polynomials and generalized Blissard problems
Keywords: چندجملهای بل; Differentiation of composite functions; Bell polynomials; Blissard problem;
On the convergence of Schröder iteration functions for pth roots of complex numbers
Keywords: چندجملهای بل; Basins of attraction; Bell polynomials; Faà di Bruno’s formula; Iteration function; Order of convergence; pth root; Residuals; Taylor expansions
A novel theory of Legendre polynomials
Keywords: چندجملهای بل; Integral transforms; Legendre polynomials; Multi-variable Hermite polynomials; Bell polynomials; Humbert polynomials
Polynomial solutions of differential–difference equations
Keywords: چندجملهای بل; Interlacing of zeros; Zeros of polynomial solutions of differential–difference equations; Euler–Frobenius polynomials; Bell polynomials
Direct spreading measures of Laguerre polynomials
Keywords: چندجملهای بل; 33C45; 94A17; 62B10; 65C60Orthogonal polynomials; Laguerre polynomials; Spreading lengths; Computation of information measures; Shannon entropy; Renyi entropy; Fisher information; Bell polynomials; Lauricella functions
Spreading lengths of Hermite polynomials
Keywords: چندجملهای بل; 33C45; 94A17; 62B10; 65C60Orthogonal polynomials; Hermite polynomials; Spreading lengths; Computation of information measures; Shannon entropy; Renyi entropy; Fisher information; Bell polynomials
Asymptotic analysis of the Bell polynomials by the ray method
Keywords: چندجملهای بل; 34E05; 11B73; 34E20; Bell polynomials; Asymptotic expansions; Stirling numbers;
Identities on Bell polynomials and Sheffer sequences
Keywords: چندجملهای بل; Associated sequences; Bell polynomials; Cross sequences; Riordan arrays; Sheffer sequences; Combinatorial identities
General identities on Bell polynomials
Keywords: چندجملهای بل; Bell polynomials; Associated sequences; Sheffer sequences; Cross sequences; Combinatorial identities
Multivariate Bell polynomials and their applications to powers and fractionary iterates of vector power series and to partial derivatives of composite vector functions
Keywords: چندجملهای بل; Bell polynomials; Differentiation of composite functions; Fractionary iterates; Inverse series; Potential polynomials; Powers of power series
Bell polynomials and binomial type sequences
Keywords: چندجملهای بل; Bell polynomials; Binomial type sequences; Generating function
Identities via Bell matrix and Fibonacci matrix
Keywords: چندجملهای بل; Combinatorial identities; Fibonacci numbers; Generalized Fibonacci numbers; Bell polynomials; Iteration matrix
Bell polynomials and kk-generalized Dyck paths
Keywords: چندجملهای بل; Bell polynomials; Potential polynomials; kk-paths; Catalan numbers
Ewens sampling formulae with and without selection
Keywords: چندجملهای بل; primary, 60G57, 62E17; secondary, 60K99, 62E15, 62E20Random discrete distribution; Gibbs–Dirichlet partition; Poisson–Dirichlet; Ewens sampling formulae; Selection; Bell polynomials