Keywords: چندجملهای برنولی; primary; 11B83; secondary; 11B68; Product of primes; Bernoulli polynomials; Denominator; Sum of base-p digits; p-Adic valuation of polynomials;
مقالات ISI چندجملهای برنولی (ترجمه نشده)
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Keywords: چندجملهای برنولی; Harmonic sums; Polylogarithms; Bernoulli polynomials; Multi-Eulerian polynomials; Bernoulli numbers; Eulerian numbers;
Keywords: چندجملهای برنولی; Initial value problems; Bernoulli polynomials; Spectral methods
Keywords: چندجملهای برنولی; Gamma function; Psi function; Inequalities; Asymptotic expansions; Bernoulli polynomials; Complete monotonicity
Keywords: چندجملهای برنولی; 65L10; 11B68Boundary value problem; Bernoulli polynomials; Spectral methods
Keywords: چندجملهای برنولی; Bernoulli polynomials; Euler polynomials; Bernoulli numbers; Euler numbers; Convolution identities
Keywords: چندجملهای برنولی; Hybrid functions; Distributed order; Fractional differential equations; Bernoulli polynomials; Caputo derivative; Numerical solution;
Keywords: چندجملهای برنولی; 11B25; 11B68; 11B73; Arithmetic progressions; Power sums; Stirling numbers; r-Whitney numbers; Bernoulli polynomials;
Keywords: چندجملهای برنولی; Hybrid functions; Nonlinear fractional integro-differential equations; Bernoulli polynomials; Caputo derivative; Numerical solution
Keywords: چندجملهای برنولی; Barnes-type degenerate Euler Polynomials; Bernoulli polynomials; Umbral calculus05A40; 11B83
Keywords: چندجملهای برنولی; Bernoulli polynomials; Poly-Cauchy polynomials; Degenerate poly-Cauchy polynomials; Umbral calculus; 05A19; 05A40; 11B83;
Keywords: چندجملهای برنولی; primary, 11B68, 42A16, 11B75; secondary, 11A67, 42A20, 42A24Bernoulli numbers; Bernoulli polynomials; Identities; Trigonometric series
Keywords: چندجملهای برنولی; Bernoulli polynomials; Euler polynomials; Generating functions; Partial fraction decompositions; Sums of products
Keywords: چندجملهای برنولی; Lerch transcendent function; Hurwitz zeta functions; Bernoulli polynomials; Fourier series; Conjugate Fourier series
Keywords: چندجملهای برنولی; Ordinary differential equation; Bernoulli polynomials; Bernoulli numbers;
Keywords: چندجملهای برنولی; Bernoulli polynomials; Euler polynomials; Bernoulli numbers; Euler numbers; Genocchi numbers; Convolution identities;
Keywords: چندجملهای برنولی; Integral transform; Trigonometric functions; Hyperbolic functions; Central binomial coefficient; Catalanʼs constant; Geometric rate of convergence; L-functions; Riemann zeta function; Hurwitz zeta function; Bernoulli polynomials; Bernoulli numbers;
Keywords: چندجملهای برنولی; Bernoulli numbers; Bernoulli polynomials; Euler numbers; Euler polynomials; Genocchi numbers; Genocchi polynomials; Generating functions; Maple;
Keywords: چندجملهای برنولی; 11B68; 11S40Bernoulli numbers; Bernoulli polynomials; Riemann zeta function; Recurrences
Application of Bernoulli matrix method for solving two-dimensional hyperbolic telegraph equations with Dirichlet boundary conditions
Keywords: چندجملهای برنولی; Two-dimensional telegraph equations; Bernoulli polynomials; Operational matrices; Bernoulli matrix method; Accuracy of the method; Error estimation;
A new Bernoulli wavelet method for accurate solutions of nonlinear fuzzy Hammerstein-Volterra delay integral equations
Keywords: چندجملهای برنولی; Hammerstein-Volterra integral equation; Fuzzy delay integral equation; Bernoulli polynomials; Bernoulli wavelets;
Sums of averages of generalized Ramanujan sums
Keywords: چندجملهای برنولی; 11A25; 11N37; 11P99; gcd-sum functions; Ramanujan sums; Euler totient function; Dedekind totient function; Bernoulli polynomials; Gamma function; Asymptotic results on arithmetical functions;
Degenerate Mittag-Leffler polynomials
Keywords: چندجملهای برنولی; Degenerate Mittag-Leffler polynomials; Falling factorial polynomials; Bernoulli polynomials; Frobenius-Euler polynomials; Umbral calculus; 05A19; 05A40; 11B68; 11B83; 65D20; 65Q30;
Congruences for the Fishburn numbers
Keywords: چندجملهای برنولی; 05A19; 11F20; 11P83Fishburn numbers; Interval orders; (2+2)(2+2)-Free posets; Ascent sequences; Congruences; Bernoulli polynomials
A new matrix method for solving two-dimensional time-dependent diffusion equations with Dirichlet boundary conditions
Keywords: چندجملهای برنولی; Two-dimensional diffusion equations; Dirichlet boundary conditions; Polynomial approximation; Bernoulli polynomials; Operational matrices35E15; 35A35; 65D25; 65D30; 65L20
Integration of a Dirac comb and the Bernoulli polynomials
Keywords: چندجملهای برنولی; 34A36; 37B55; 11B68; 70G60Dirac comb; Piecewise-smooth; Differential equations; Bernoulli polynomials
Umbral calculus associated with Bernoulli polynomials
Keywords: چندجملهای برنولی; Bernoulli polynomials; Umbral calculus; Linear functional;
Bernoulli polynomials for the numerical solution of some classes of linear and nonlinear integral equations
Keywords: چندجملهای برنولی; 65R20Linear Volterra integral equations; Nonlinear Volterra–Fredholm–Hammerstein integral equations; Bernoulli polynomials; Operational matrix; Collocation method
On reciprocity formula of character Dedekind sums and the integral of products of Bernoulli polynomials
Keywords: چندجملهای برنولی; 11F20; 11B68; 65B15; 44A10Dedekind sums; Bernoulli polynomials; Bernoulli numbers; Euler–MacLaurin formula; Laplace transform
A set of finite order differential equations for the Appell polynomials
Keywords: چندجملهای برنولی; 33C45; 33C55Appell polynomials; Hermite polynomials; Bernoulli polynomials; Differential equation
Symmetries of Bernoulli polynomial series and Arakawa–Kaneko zeta functions
Keywords: چندجملهای برنولی; Barnes zeta functions; Hurwitz zeta function; Arakawa–Kaneko zeta functions; Poly-Bernoulli polynomials; Bernoulli polynomials; Euler sums
Sums of reciprocals modulo composite integers
Keywords: چندجملهای برنولی; Lehmerʼs congruences; Fermat quotients; Euler quotients; Bernoulli numbers; Bernoulli polynomials;
A collocation method based on Bernoulli operational matrix for numerical solution of generalized pantograph equation
Keywords: چندجملهای برنولی; Functional differential equations; Pantograph equation; Collocation method; Direct method; Operational matrix; Bernoulli polynomials
Hybrid functions approach for optimal control of systems described by integro-differential equations
Keywords: چندجملهای برنولی; Optimal control; Hybrid; Bernoulli polynomials; Block-pulse; Integro-differential equations
Another discrete Fourier transform pairs associated with the Lipschitz-Lerch zeta function
Keywords: چندجملهای برنولی; Discrete Fourier transform; Alternating zeta functions; Hurwitz-Lerch zeta function; Lipschitz-Lerch zeta function; Lerch zeta function; Hurwitz zeta function; Legendre chi function; Bernoulli polynomials;
Hybrid functions approach for nonlinear constrained optimal control problems
Keywords: چندجملهای برنولی; Constrained optimal control; Hybrid; Bernoulli polynomials; Block-pulse
The exact number of real roots of the Bernoulli polynomials
Keywords: چندجملهای برنولی; Bernoulli polynomials; Real roots; Asymptotic analysis
p-Adic distribution of the unification of the Bernoulli, Euler and Genocchi polynomials
Keywords: چندجملهای برنولی; Bernoulli polynomials; Euler polynomials; p-adic distribution;
Summation formulae for finite tangent and secant sums
Keywords: چندجملهای برنولی; Finite summation; Trigonometric sums; Tangent sums; Secant sums; Higher order Bernoulli polynomials; Bernoulli polynomials; Euler polynomials; Contour integration; Cauchy residue theorem
On families of quadrature formulas based on Euler identities
Keywords: چندجملهای برنولی; Closed 5-point quadrature formulas; Corrected quadrature formulas; Lobatto formulas; Gauss formulas; Bernoulli polynomials; Extended Euler formulas; Sharp estimates of error
Bernoulli polynomials and asymptotic expansions of the quotient of gamma functions
Keywords: چندجملهای برنولی; primary, 33B15, 41A60, 11B68; secondary, 40A25, 57Q55, 33F05Gamma function; Wallis quotient; Wallis power function; Bernoulli polynomials; Asymptotic expansion; Stirling formula
The Möbius inversion formula for Fourier series applied to Bernoulli and Euler polynomials
Keywords: چندجملهای برنولی; Bernoulli polynomials; Euler polynomials; Fourier series; Möbius transform; Inversion formula; Rational arguments; Asymptotic properties
Some discrete Fourier transform pairs associated with the Lipschitz–Lerch Zeta function
Keywords: چندجملهای برنولی; Hurwitz–Lerch Zeta function; Lipschitz–Lerch Zeta function; Lerch Zeta function; Hurwitz Zeta function; Riemann Zeta function; Legendre chi function; Bernoulli polynomials; Bernoulli numbers; Discrete Fourier transform
Closed-form formulae for the derivatives of trigonometric functions at rational multiples of ππ
Keywords: چندجملهای برنولی; Trigonometric functions; Hurwitz zeta function; Legendre chi function; Lerch zeta function; Bernoulli polynomials; Euler polynomials
Values of the derivatives of the cotangent at rational multiples of π
Keywords: چندجملهای برنولی; Cotangent function; Simpson’s series multisection formula; Bernoulli polynomials; Bernoulli numbers; Hurwitz zeta function; Polylogarithm
Summation formulae for finite cotangent sums
Keywords: چندجملهای برنولی; Trigonometric sums; Finite summation; Cotangent sums; Alternate cotangent sums; Contour integration; Cauchy residue theorem; Higher order Bernoulli polynomials; Bernoulli polynomials; Bernoulli numbers
Computation of Euler’s type sums of the products of Bernoulli numbers
Keywords: چندجملهای برنولی; Bernoulli numbers; Bernoulli polynomials; Sums of products; Euler’s sums; Dilcher’s sums; Multinomial coefficients; Integer sequences; Generating functions; Cauchy product of power series; Stirling numbers of the first kind
Zeros of Bernoulli-type functions and best approximations
Keywords: چندجملهای برنولی; Best one-sided approximation; Entire interpolation; Nodal set; Zeros of entire functions; Bernoulli polynomials; Extremal majorants; Variation diminishing functions;
Some identities on the Bernoulli, Euler and Genocchi polynomials via power sums and alternate power sums
Keywords: چندجملهای برنولی; Bernoulli polynomials; Euler polynomials; Genocchi polynomials; Power sums; Alternate power sums; Combinatorial identities
Closed-form summation of two families of finite tangent sums
Keywords: چندجملهای برنولی; Tangent sums; Finite summation; Contour integration; Cauchy residue theorem; Bernoulli polynomials; Euler polynomials; Higher order Bernoulli polynomials;