Results 21 to 30 of about 610,031 (298)
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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, 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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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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Parity-Based Statistics and Combinatorial Identities
MathematicsNotable discrete probability laws appear as posterior distributions in the estimation of the common mean with heterogeneous variances. These probabilities, which are defined by an arbitrary set of distinct real numbers, also arise in seemingly unrelated ...
Andrew L. Rukhin
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Some symmetric polynomial and related identities [PDF]
ریاضی و جامعهIn this paper, we study some symmetric polynomials and their properties. In addition to the elementary and complete symmetric polynomials, we consider the accumulative versions of these polynomials and using common combinatorial tools, particularly ...
Narges Ghareghani +1 more
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Combinatorial Explanations of Known Harmonic Identities [PDF]
, 2001 We seek to discover combinatorial explanations of known identities involving harmonic numbers. Harmonic numbers do not readily lend themselves to combinatorial interpretation, since they are sums of fractions, and combinatorial arguments involve counting
Preston, Greg
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On partitions with difference conditions
International Journal of Mathematics and Mathematical Sciences, 2000 We present two general theorems having interesting special cases. From one of them we give a new proof for theorems of Gordon using a bijection and from another we have a new combinatorial interpretation associated with a theorem of Göllnitz.
José Plínio, O. Santos, Paulo Mondek
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