On certain summation problems and generalizations of Eulerian polynomials and numbers

DOI10.1016/S0012-365X(98)00379-3zbMath0938.11011OpenAlexW2027304239WikidataQ60698605 ScholiaQ60698605MaRDI QIDQ1300978

Leetsch C. Hsu, Peter Jau-Shyong Shiue

Publication date: 14 June 2000

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0012-365x(98)00379-3

zbMATH Keywords

generalized Euler polynomialsgeneralized Euler numberDickson-Euler numbersDickson-Stirling numbers

Mathematics Subject Classification ID

Bernoulli and Euler numbers and polynomials (11B68)

Related Items (14)

A note on Eulerian numbers and Toeplitz matrices ⋮ Triangular recurrences, generalized Eulerian numbers, and related number triangles ⋮ Congruences for degenerate number sequences. ⋮ Boson operator ordering identities from generalized Stirling and Eulerian numbers ⋮ On a class of combinatorial sums involving generalized factorials ⋮ Unnamed Item ⋮ A symbolic operator approach to several summation formulas for power series ⋮ An asymptotic distribution theory for Eulerian recurrences with applications ⋮ Convergence of the summation formulas constructed by using a symbolic operator approach ⋮ Some identities of Eulerian polynomials arising from nonlinear differential equations ⋮ Generalization of Mellin derivative and its applications ⋮ A further investigation of a pair of series transformation formulas with applications ⋮ Approximations of the generalized-Euler-constant function and the generalized Somos' quadratic recurrence constant ⋮ On an open problem of Simsek concerning the computation of a family of special numbers

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• Eulerian Numbers and Polynomials
• On Some Numbers Related to the Bell Numbers
• Dickson–Stirling numbers
• Permutations and Combination Locks
• A polynomial representation for logarithms in GF(q)
• Note on a Paper of Klamkin Concerning Stirling Numbers

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