Results 11 to 20 of about 9,522 (300)

Some extensions of Chu's formulas and further combinatorial identities [PDF]

Mathematica Bohemica
We present some extensions of Chu's formulas and several striking generalizations of some well-known combinatorial identities. As applications, some new identities on binomial sums, harmonic numbers, and the generalized harmonic numbers are also derived.
Said Zriaa, Mohammed Mouçouf
doaj   +4 more sources

Pfaffian Identities: A Combinatorial Approach [PDF]

Journal of Combinatorial Theory, Series A, 2001
The Pfaffian of a skew symmetric matrix of even order is the square root of its determinant. \textit{D. E. Knuth} [Electron. J. Comb. 3, No. 2, Research paper R5, 13 p. (1996); printed version J. Comb. 3, No. 2, 147-159 (1996; Zbl 0862.15007)] suggested a combinatorial approach to Pfaffians based on arguments of graph theory and obtained an elegant ...
Hamel, A.M.
openaire   +3 more sources

Combinatorial Identities with Multiple Harmonic-like Numbers [PDF]

AppliedMath
Multiple harmonic-like numbers are studied using the generating function approach. A closed form is stated for binomial sums involving these numbers and two additional parameters.
Kunle Adegoke, Robert Frontczak
doaj   +5 more sources

Combinatorial identities in dual sequences [PDF]

European Journal of Combinatorics, 2003
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Sun, Zhi-Wei
openaire   +3 more sources

Powers of a Matrix and Combinatorial Identities [PDF]

, 2005
In this article we obtain a general polynomial identity in $k$ variables, where $k\geq 2$ is an arbitrary positive integer. We use this identity to give a closed-form expression for the entries of the powers of a $k \times k$ matrix. Finally, we use these results to derive various combinatorial identities.
McLaughlin, James, Sury, B.
openaire   +6 more sources

Combinatorial interpretations for identities using chromatic partitions [PDF]

, 2021
summary:We provide combinatorial interpretations for three new classes of partitions, the so-called chromatic partitions. Using only combinatorial arguments, we show that these partition identities resemble well-know ordinary partition ...
Ferreira Santos, Wagner, Brito Silva, Samuel, Alegri, Mateus   +2 more
core   +1 more source

Applications of Combinatorial Analysis to the Calculation of the Partition Function of the Ising Model [PDF]

, 2009
The research work discussed in this thesis investigated the application of combinatorics and graph theory in the analysis of the partition function of the Ising Model. Chapter 1 gives a general introduction to the partition function of the Ising Model
Lin, Ming-Shr Matt
core   +1 more source

Variations on a result of Bressoud [PDF]

, 2013
The well-known Rogers-Ramanujan identities have been a rich source of mathematical study over the last fifty years. In particular, Gordon’s generalization in the early 1960s led to additional work by Andrews and Bressoud in subsequent years ...
Kurşungöz, Kağan, Sellers, James A.
core   +1 more source

Factorial Characters and Tokuyama's Identity for Classical Groups [PDF]

Discrete Mathematics & Theoretical Computer Science, 2020
In this paper we introduce factorial characters for the classical groups and derive a number of central results. Classically, the factorial Schur function plays a fundamental role in traditional symmetric function theory and also in Schubert polynomial ...
Angèle M. Hamel, Ronald C. King
doaj   +1 more source

Binomial Coefficients and Identities in Combinatorial Geometric Series [PDF]

, 2022
This paper presents binomial theorems on combinatorial identities that are derived from the binomial coefficients in combinatorial geometric series. The coefficient of each term in combinatorial geometric series refers to a binomial coefficient.
Chinnaraji Annamalai
core   +1 more source