Results 21 to 30 of about 9,522 (300)
Physics Letters B, 2023 We elaborate on the recent suggestion to consider averaging of Cauchy identities for the Schur functions over power sum variables. This procedure has apparent parallels with the Borel transform, only it changes the number of combinatorial factors like dR
A. Mironov, A. Morozov
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A Note on the Difference of Powers and Falling Powers
International Journal of Mathematics and Mathematical Sciences, 2021 Combinatorial sums and binomial identities have appeared in many branches of mathematics, physics, and engineering. They can be established by many techniques, from generating functions to special series.
Taoufik Sabar
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Factorizations related to some numerical triangles
Special Matrices, 2017 An asymmetric combinatorial matrix with two free parameters is factored in 4 different ways. The results are obtained by a combination of guessing and applying combinatorial identities.
Prodinger Helmut
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, 1999 Recently the second named author discovered a combinatorial identity in the context of vertex representations of quantum Kac-Moody algebras. We give a direct and elementary proof of this identity. Our method is to show a related identity of distributions.
Ding, Jintai, Jing, Naihuan
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A Combinatorial Proof for Cayley's Identity [PDF]
The Electronic Journal of Combinatorics, 2014 In a recent paper, Caracciolo, Sokal and Sportiello presented, inter alia, an algebraic/combinatorial proof for Cayley's identity. The purpose of the present paper is to give a "purely combinatorial" proof for this identity; i.e., a proof involving only combinatorial arguments.
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On Combinatorial Identities of Engbers and Stocker
Integers, 2017 See the abstract in the attached pdf.
Horst Alzer, Helmut Prodinger
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Down-step statistics in generalized Dyck paths [PDF]
Discrete Mathematics & Theoretical Computer Science, 2022 The number of down-steps between pairs of up-steps in $k_t$-Dyck paths, a generalization of Dyck paths consisting of steps $\{(1, k), (1, -1)\}$ such that the path stays (weakly) above the line $y=-t$, is studied.
Andrei Asinowski +2 more
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Combinatorial identities for Appell polynomials [PDF]
, 2018 Using the techniques of the modern umbral calculus, we derive several combinatorial identities involving s-Appell polynomials. In particular, we obtain identities for classical polynomials, such as the Hermite, Laguerre, Bernoulli, Euler, Norlund ...
Emanuele Munarini, E. Munarini
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On Some Combinatorial Interpretations of Slater's Identities [PDF]
, 1990 Four combinatorial interpretations of identities due to L. J. Slater that have recently been published are slightly incorrect. I show how they may be corrected and also provide a new interpretation of one of these identities.
R. P. Lewis
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Shuffle Product Formulas and Combinatorial Identities
MathematicsWe study shuffle product structures on words in three letters, extending the classical framework of multiple zeta values. Using an evaluation map that relates admissible words to iterated integrals, we translate shuffle identities into combinatorial ...
Kwang-Wu Chen
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