Explicit formulas and recurrence relations for higher order Eulerian polynomials
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Publication:2012577
DOI10.1016/j.indag.2017.06.010zbMath1377.11030OpenAlexW2724722377MaRDI QIDQ2012577
Publication date: 1 August 2017
Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.indag.2017.06.010
Related Items (14)
New properties of a composition of ordinary generating functions for primes ⋮ Several explicit and recursive formulas for generalized Motzkin numbers ⋮ Unnamed Item ⋮ Special values of the Bell polynomials of the second kind for some sequences and functions ⋮ Some identities related to Eulerian polynomials and involving the Stirling numbers ⋮ Simplifying differential equations concerning degenerate Bernoulli and Euler numbers ⋮ An explicit formula for derivative polynomials of the tangent function ⋮ Explicit Expressions Related to Degenerate Cauchy Numbers and Their Generating Function ⋮ Some properties of the Hermite polynomials ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Simplifying coefficients in differential equations associated with higher order Bernoulli numbers of the second kind ⋮ Unnamed Item ⋮ Simplifying coefficients in a family of ordinary differential equations related to the generating function of the Mittag--Leffler polynomials
Cites Work
- Unnamed Item
- Integral representations and complete monotonicity of remainders of the binet and Stirling formulas for the gamma function
- Complete monotonicity of functions connected with the exponential function and derivatives
- Some identities of Eulerian polynomials arising from nonlinear differential equations
- Some identities and an explicit formula for Bernoulli and Stirling numbers
- Explicit formulae for computing Euler polynomials in terms of Stirling numbers of the second kind
- Some identities involving exponential functions and Stirling numbers and applications
- Diagonal recurrence relations, inequalities, and monotonicity related to the Stirling numbers of the second kind
- Eulerian polynomials as moments, via exponential Riordan arrays
- Derivative polynomials of a function related to the Apostol-Euler and Frobenius-Euler numbers
- A completely monotonic function involving the gamma and tri-gamma functions
- Limit formulas for ratios between derivatives of the gamma and digamma functions at their singularities
- Diagonal recurrence relations for the Stirling numbers of the first kind
- Number Theory
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