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scientific article; zbMATH DE number 7426499

Language	Label	Description	Also known as
English	No label defined	scientific article; zbMATH DE number 7426499

Statements

scholarly article

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publication date

15 November 2021

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full work available at URL

http://ijmsi.ir/article-1-1275-en.html

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zbMATH Keywords

ordinary differential equation

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solution

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derivative polynomial

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identity

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Stirling numbers

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Bernoulli number

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Bernoulli polynomial

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Frobenius-Euler polynomial

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MaRDI profile type

MaRDI publication profile

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A NOTE ON THE HIGHER DERIVATIVES OF THE FUNCTION 1/(exp(x)–1)

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Close Encounters with the Stirling Numbers of the Second Kind

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Derivative Polynomials for tanh, tan, sech and sec in Explicit Form

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Derivative polynomials and closed-form higher derivative formulae

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Differential equations for Changhee polynomials and their applications

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Series expansions of powers of arcsine, closed forms for special values of Bell polynomials, and series representations of generalized logsine functions

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Explicit formulae for computing Euler polynomials in terms of Stirling numbers of the second kind

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Some identities and an explicit formula for Bernoulli and Stirling numbers

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SOME IDENTITIES FOR BERNOULLI NUMBERS OF THE SECOND KIND ARISING FROM A NON-LINEAR DIFFERENTIAL EQUATION

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Corrigendum to ``Identities involving Frobenius-Euler polynomials arising from non-linear differential equations''

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Identities involving Frobenius-Euler polynomials arising from non-linear differential equations

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A note on nonlinear Changhee differential equations

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Identities involving degenerate Euler numbers and polynomials arising from non-linear differential equations

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On Ruijsenaars' asymptotic expansion of the logarithm of the double gamma function

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Application of a composition of generating functions for obtaining explicit formulas of polynomials

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Derivatives of tangent function and tangent numbers

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Diagonal recurrence relations for the Stirling numbers of the first kind

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Explicit formulas for computing Bernoulli numbers of the second kind and Stirling numbers of the first kind

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Integral representations for multivariate logarithmic polynomials

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On multivariate logarithmic polynomials and their properties

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Simplifying coefficients in a family of nonlinear ordinary differential equations

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Simplifying coefficients in a family of ordinary differential equations related to the generating function of the Mittag--Leffler polynomials

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Some properties of central Delannoy numbers

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A diagonal recurrence relation for the Stirling numbers of the first kind

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An explicit formula for derivative polynomials of the tangent function

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Explicit formulas and recurrence relations for higher order Eulerian polynomials

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Explicit formulas for special values of the Bell polynomials of the second kind and for the Euler numbers and polynomials

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Several explicit and recursive formulas for generalized Motzkin numbers

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Some properties of the Hermite polynomials

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Explicit formulas and identities for the Bell polynomials and a sequence of polynomials applied to differential equations

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Some identities related to Eulerian polynomials and involving the Stirling numbers

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Explicit Expressions Related to Degenerate Cauchy Numbers and Their Generating Function

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Notes on two kinds of special values for the Bell polynomials of the second kind

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Simplification of Coefficients in Differential Equations Associated with Higher Order Frobenius-Euler Numbers

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Simplifying coefficients in differential equations associated with higher order Bernoulli numbers of the second kind

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Some identities for a sequence of unnamed polynomials connected with the Bell polynomials

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Closed formulas and identities on the Bell polynomials and falling factorials.

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Some properties and an application of multivariate exponential polynomials

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Special values of the Bell polynomials of the second kind for some sequences and functions

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SEVERAL FORMULAS FOR SPECIAL VALUES OF THE BELL POLYNOMIALS OF THE SECOND KIND AND APPLICATIONS

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Simplifying and finding ordinary differential equations in terms of the stirling numbers

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Simplifying differential equations concerning degenerate Bernoulli and Euler numbers

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Explicit expressions for a family of the Bell polynomials and applications

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The inverse of a triangular matrix and several identities of the Catalan numbers

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Some Identities Involving Euler Polynomials Arising from a Non-linear Differential Equation

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Complete monotonicity of functions connected with the exponential function and derivatives

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Moments and cumulants for the complex Wishart

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Multivariate Bell polynomials

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Multivariate Bell polynomials and their applications to powers and fractionary iterates of vector power series and to partial derivatives of composite vector functions

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Closed formulas for computing higher-order derivatives of functions involving exponential functions

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Some identities involving exponential functions and Stirling numbers and applications

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Derivative polynomials of a function related to the Apostol-Euler and Frobenius-Euler numbers

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Identifiers

zbMATH Open document ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

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