Results 61 to 70 of about 2,046 (100)
A Note on the generating function of p-Bernoulli numbers
, 2018 We use analytic combinatorics to give a direct proof of the closed formula for the generating function of $p$-Bernoulli numbers.Comment: 6 ...
Kuba, Markus
core
Zeros distribution and interlacing property for certain polynomial sequences
Open MathematicsIn this article, we first prove that the Hankel determinant of order three of the polynomial sequence {Pn(x)=∑k≥0P(n,k)xk}n≥0{\left\{{P}_{n}\left(x)={\sum }_{k\ge 0}P\left(n,k){x}^{k}\right\}}_{n\ge 0} is weakly (Hurwitz) stable, where P(n,k)P\left(n,k ...
Guo Wan-Ming
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Further results on enumeration of perfect matchings of Cartesian product graphs
Open MathematicsCounting perfect matchings is an interesting and challenging combinatorial task. It has important applications in statistical physics and chemistry. As the general problem is #P-complete, it is usually tackled by randomized heuristics and approximation ...
Wu Tingzeng, Zeng Xiaolin
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A Generalization of the Eulerian Numbers
, 2017 In the present paper we generalize the Eulerian numbers (also of the second and third orders). The generalization is connected with an autonomous first-order differential equation, solutions of which are used to obtain integral representations of some ...
Rzadkowski, Grzegorz +1 more
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Two-sided permutation statistics via symmetric functions
Forum of Mathematics, SigmaGiven a permutation statistic $\operatorname {\mathrm {st}}$ , define its inverse statistic $\operatorname {\mathrm {ist}}$ by . We give a general approach, based on the theory of symmetric functions, for finding the joint distribution of
Ira M. Gessel, Yan Zhuang
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On the critical exponents of generalized ballot sequences in three dimensions and large tandem walks. [PDF]
Aequ Math, 2022 Wallner M.
europepmc +1 more source
Pattern Avoidance in Weak Ascent Sequences [PDF]
Discrete Mathematics & Theoretical Computer ScienceIn this paper, we study pattern avoidance in weak ascent sequences, giving some results for patterns of length 3. This is an analogous study to one given by Duncan and Steingr\'imsson (2011) for ascent sequences. More precisely, we provide systematically
Beáta Bényi +2 more
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Interval and $\ell$-interval Rational Parking Functions [PDF]
Discrete Mathematics & Theoretical Computer ScienceInterval parking functions are a generalization of parking functions in which cars have an interval preference for their parking. We generalize this definition to parking functions with $n$ cars and $m\geq n$ parking spots, which we call interval ...
Tomás Aguilar-Fraga +14 more
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Weighted cylindric partitions. [PDF]
J Algebr Comb (Dordr), 2022 Bridges W, Uncu AK.
europepmc +1 more source