Results 51 to 60 of about 120 (120)

Fourier series of functions involving higher-order ordered Bell polynomials

Open Mathematics, 2017
In 1859, Cayley introduced the ordered Bell numbers which have been used in many problems in number theory and enumerative combinatorics. The ordered Bell polynomials were defined as a natural companion to the ordered Bell numbers (also known as the ...
Kim Taekyun, Kim Dae San, Jang Gwan-Woo, Jang Lee Chae   +3 more
doaj   +1 more source

Number Sequences in an Integral Form with a Generalized Convolution Property and Somos-4 Hankel Determinants [PDF]

, 2012
MSC 2010: 11B83, 05A19, 33C45This paper is dealing with the Hankel determinants of the special number sequences given in an integral form. We show that these sequences satisfy a generalized convolution property and the Hankel determinants have the ...
Savic, Natasa, Rajkovic, Predrag M., Barry, Paul   +2 more
core  

The log-convexity of the poly-Cauchy numbers

, 2017
In 2013, Komatsu introduced the poly-Cauchy numbers, which generalizeCauchy numbers. Several generalizations of poly-Cauchy numbers have been con-sidered since then. One particular type of generalizations is that of multiparameter-poly-Cauchy numbers. In
Komatsu, Takao, Zhao, Feng-Zhen, Feng-Zhen Zhao, Takao Komatsu   +3 more
core   +1 more source

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

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

Dirichlet summations and products over primes

, 1991
International Journal of Mathematics and Mathematical Sciences, Volume 16, Issue 2, Page 359-372, 1993.
Geoffrey B. Campbell
wiley   +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

Decompositions of packed words and self duality of Word Quasisymmetric Functions [PDF]

By Foissy's work, the bidendriform structure of the Word Quasisymmetric Functions Hopf algebra (WQSym) implies that it is isomorphic to its dual. However, the only known explicit isomorphism due to Vargas does not respect the bidendriform structure. This
Mlodecki, Hugo
core   +1 more source