Results 31 to 40 of about 339 (52)
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 +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 +3 more
semanticscholar +1 more source
Bounded Littlewood identity related to alternating sign matrices
Forum of Mathematics, SigmaAn 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
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
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
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
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
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
New results containing quadratic harmonic numbers
, 2016 In this paper we give a combinatorial proof of the quadratic harmonic series ∑n 1 H2 n n2q+1 in terms of zeta functions and then extend the result to express ∑n 1 H2 n (n+r)2q+1 ,(q,r) ∈ N, in closed form in terms of zeta functions.
A. Sofo
semanticscholar +1 more source
Two permutation classes enumerated by the central binomial coefficients [PDF]
, 2013 We define a map between the set of permutations that avoid either the four patterns $3214,3241,4213,4231$ or $3124,3142,4123,4132$, and the set of Dyck prefixes.
Barnabei, Marilena +2 more
core +1 more source