DOI10.1201/b18869zbMath1335.05001OpenAlexW2145531546MaRDI QIDQ2942153
Matthias Schork, Toufik Mansour
Publication date: 19 August 2015
Full work available at URL: https://doi.org/10.1201/b18869
Linear differential equations for families of polynomials ⋮
Normal ordering in the shift algebra and the dual of Spivey’s identity ⋮
On the connection between Stirling numbers and Bessel numbers ⋮
On certain polynomial systems involving Stirling numbers of second kind ⋮
On \(q\)-poly-Bernoulli numbers arising from combinatorial interpretations ⋮
New modular symmetric function and its applications: modular \(s\)-Stirling numbers ⋮
Bijections on \(m\)-level rook placements ⋮
Bell numbers in Matsunaga's and Arima's Genjikō combinatorics: modern perspectives and local limit theorems ⋮
\((p, q)\)-analogues of the generalized Touchard polynomials and Stirling numbers ⋮
Weight-dependent commutation relations and combinatorial identities ⋮
Recent developments in combinatorial aspects of normal ordering ⋮
D-module approach to Liouville's Theorem for difference operators ⋮
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Fubini polynomials and integer partitions ⋮
The Hafnian master theorem ⋮
\(q\)-polynomial invariant of rooted trees ⋮
Continued fractions and \(q\)-series generating functions for the generalized sum-of-divisors functions ⋮
Tsallis \(p,q\)-deformed Touchard polynomials and Stirling numbers ⋮
Some formulas for Bell numbers ⋮
Accurate estimates of (1+x)1/x involved in Carleman inequality and Keller limit ⋮
Exponential formulas, normal ordering and the Weyl-Heisenberg algebra ⋮
Inverse relations and reciprocity laws involving partial Bell polynomials and related extensions ⋮
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Walks, partitions, and normal ordering ⋮
Approximation properties of \(\mu\)-Bernstein-Schurer-Stancu operators ⋮
Variation type characterization of product Hardy spaces ⋮
Representations of polynomial covariance type commutation relations by linear integral operators on \(L_p\) over measure spaces ⋮
On the deformed oscillator and the deformed derivative associated with the Tsallis \(q\)-exponential ⋮
The deranged Bell numbers ⋮
Some properties of Kantorovich-Stancu-type generalization of Szász operators including Brenke-type polynomials via power series summability method ⋮
Triangular recurrences, generalized Eulerian numbers, and related number triangles ⋮
Boson operator ordering identities from generalized Stirling and Eulerian numbers ⋮
Linear integral operators on \(L_p\) spaces representing polynomial covariance type commutation relations ⋮
Multiplication and linear integral operators on \(L_p\) spaces representing polynomial covariant type commutation relations ⋮
Representations of polynomial covariance type commutation relations by piecewise function multiplication and composition operators ⋮
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ENUMERATION OF A DUAL SET OF STIRLING PERMUTATIONS BY THEIR ALTERNATING RUNS ⋮
Construction and computation of unified Stirling-type numbers emerging from \(p\)-adic integrals and symmetric polynomials ⋮
Normally ordered forms of powers of differential operators and their combinatorics ⋮
Moments of partitions and derivatives of higher order ⋮
Elliptic rook and file numbers ⋮
Divisibility properties of the \(r\)-Bell numbers and polynomials ⋮
On a close relative of the quantum plane ⋮
Some new identities and congruences for Fubini numbers ⋮
Some (p, q)-analogues of Apostol type numbers and polynomials ⋮
Variations of the Catalan numbers from some nonassociative binary operations ⋮
Differential equations for \(p\), \(q\)-Touchard polynomials ⋮
Matrix Analysis and Omega Calculus ⋮
Stirling operators in spatial combinatorics ⋮
The double star sequences and the general second Zagreb index ⋮
Some binomial formulas for non-commuting operators ⋮
Some inequalities for generalized Bell-Touchard polynomials ⋮
Interpolations between Jordanian twists induced by coboundary twists ⋮
File placements, fractional matchings, and normal ordering ⋮
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