Results 21 to 30 of about 331 (46)

Some new identities of Bernoulli, Euler and Hermite polynomials arising from umbral calculus

, 2013
In this paper, we derive the identities of higher-order Bernoulli, Euler and Frobenius-Euler polynomials from the orthogonality of Hermite polynomials.
Dae San Kim, Taekyun Kim, D. V. Dolgy, S. Rim   +3 more
semanticscholar   +1 more source

On $t$-extensions of the Hankel determinants of certain automatic sequences

, 2014
In 1998, Allouche, Peyri\`ere, Wen and Wen considered the Thue--Morse sequence, and proved that all the Hankel determinants of the period-doubling sequence are odd integral numbers.
Fu, Hao, Han, Guo-Niu
core   +1 more source

Inverse and Moore-Penrose inverse of Toeplitz matrices with classical Horadam numbers

, 2017
For integers s,k with s 0 and k 0 , we define a class of lower triangular Toeplitz matrices U (s,k) n of type (s,k) , whose non-zero entries are the classical Horadam numbers U (a,b) i .
Shouqiang Shen, W. Liu, Lihua Feng
semanticscholar   +1 more source

Bijective enumerations of $\Gamma$-free 0-1 matrices

, 2017
We construct a new bijection between the set of $n\times k$ $0$-$1$ matrices with no three $1$'s forming a $\Gamma$ configuration and the set of $(n,k)$-Callan sequences, a simple structure counted by poly-Bernoulli numbers.
Bényi, Beáta, Nagy, Gábor V.
core   +1 more source

Frobenius-Euler polynomials and umbral calculus in the p-adic case

, 2012
In this paper, we study some p-adic Frobenius-Euler measure related to umbral calculus in the p-adic case. Finally, we derive some identities of Frobenius-Euler polynomials from our study.MSC:05A10, 05A19.
Dae San Kim, Taekyun Kim, Sang-Hun Lee, S. Rim   +3 more
semanticscholar   +1 more source

Some identities of Bernoulli, Euler and Abel polynomials arising from umbral calculus

, 2013
In this paper, we derive some identities of Bernoulli, Euler, and Abel polynomials arising from umbral calculus.MSC:05A10, 05A19.
Dae San Kim, Taekyun Kim, Sang-Hun Lee, S. Rim   +3 more
semanticscholar   +1 more source

An inversion metric for reduced words

, 2018
We study the graph on reduced words with edges given by the Coxeter relations for the symmetric group. We define a metric on reduced words for a given permutation, analogous to Coxeter length for permutations, for which the graph becomes ranked with ...
Assaf, Sami
core   +1 more source

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

Bounded Littlewood identity related to alternating sign matrices

Forum of Mathematics, Sigma
An identity that is reminiscent of the Littlewood identity plays a fundamental role in recent proofs of the facts that alternating sign triangles are equinumerous with totally symmetric self-complementary plane partitions and that alternating sign ...
Ilse Fischer
doaj   +1 more source

On differentiability of a class of orthogonally invariant functions on several operator variables

, 2018
In this work, we study a connection between two classes of orthogonally invariant functions. Both types of functions are defined on Sn1 × . . .× Snk . The functions in the first class take their values in Sn1 ···nk , while those in the second take values
T. Jiang, Hristo S. Sendov
semanticscholar   +1 more source