Results 61 to 70 of about 1,313 (102)

Continued fractions for permutation statistics [PDF]

Discrete Mathematics & Theoretical Computer Science, 2018
We explore a bijection between permutations and colored Motzkin paths that has been used in different forms by Foata and Zeilberger, Biane, and Corteel.
Sergi Elizalde
doaj   +1 more source

Some vanishing sums involving binomial coefficients in the denominator [PDF]

, 2008
Identities involving binomial coeffcients usually arise in situations where counting is carried out in two different ways. For instance, some identities obtained by William Horrace [1] using probability theory turn out to be special cases of the Chu ...
Purkait, S. (Soma), Sury, B.
core  

Link between Hosoya index and Fibonacci numbers

, 2018
Let G be a graph and Z.G/ be its Hosoya index. We show how the Hosoya index can be a good tool to establish some new identities involving Fibonacci numbers. This permits to extend Hillard and Windfeldt work. 2010 Mathematics Subject Classification: 05A19;
H. Belbachir, Hakim Harik
semanticscholar   +1 more source

New recurrence formulae for the Apostol-Bernoulli and Apostol-Euler polynomials

, 2013
The main purpose of this paper is by using the generating function methods and some combinatorial techniques to establish some new recurrence formulae for the Apostol-Bernoulli and Apostol-Euler polynomials.
Jingzhe Wang
semanticscholar   +1 more source

CANONICAL REPRESENTATIVES FOR DIVISOR CLASSES ON TROPICAL CURVES AND THE MATRIX–TREE THEOREM

Forum of Mathematics, Sigma, 2014
Let $\def \xmlpi #1{}\def \mathsfbi #1{\boldsymbol {\mathsf {#1}}}\let \le =\leqslant \let \leq =\leqslant \let \ge =\geqslant \let \geq =\geqslant \def \Pr {\mathit {Pr}}\def \Fr {\mathit ...
YANG AN, MATTHEW BAKER, GREG KUPERBERG, FARBOD SHOKRIEH   +3 more
doaj   +1 more source

Lattice paths with catastrophes [PDF]

Discrete Mathematics & Theoretical Computer Science, 2017
In queuing theory, it is usual to have some models with a "reset" of the queue. In terms of lattice paths, it is like having the possibility of jumping from any altitude to zero.
Cyril Banderier, Michael Wallner
doaj   +1 more source

Sums of quadratic half integer harmonic numbers of alternating type

, 2016
Half integer values of quadratic harmonic numbers and reciprocal binomial coefficients sums are investigated in this paper. Closed form representations of double integral expressions are developed in terms of special functions.
A. Sofo
semanticscholar   +1 more source

Key-avoidance for alternating sign matrices [PDF]

Discrete Mathematics & Theoretical Computer Science
We initiate a systematic study of key-avoidance on alternating sign matrices (ASMs) defined via pattern-avoidance on an associated permutation called the \emph{key} of an ASM.
Mathilde Bouvel, Rebecca Smith, Jessica Striker   +2 more
doaj   +1 more source

Taylor’s series expansions for real powers of two functions containing squares of inverse cosine function, closed-form formula for specific partial Bell polynomials, and series representations for real powers of Pi

Demonstratio Mathematica, 2022
In this article, by virtue of expansions of two finite products of finitely many square sums, with the aid of series expansions of composite functions of (hyperbolic) sine and cosine functions with inverse sine and cosine functions, and in the light of ...
Qi Feng
doaj   +1 more source

Proofs of some binomial identities using the method of last squares [PDF]

, 2010
We give combinatorial proofs for some identities involving binomial sums that have no closed form.Comment: 8 pages, 16 ...
Shattuck, Mark, Waldhauser, Tamás
core   +1 more source