Results 61 to 70 of about 1,353 (123)

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

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

Recurrence formulae for Apostol-Bernoulli and Apostol-Euler polynomials

, 2012
In this paper, using generating functions and combinatorial techniques, we extend Agoh and Dilcher’s quadratic recurrence formula for Bernoulli numbers in (Agoh and Dilcher in J.
Yuan He, Chunping Wang
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

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

Alternating sums of the powers of Fibonacci and Lucas numbers

, 2011
. We shall consider alternating Melham’s sums for Fibonacci and Lucas numbers of the form P nk D 1 . (cid:0) 1/ k F 2m C " 2k C ı and P nk D 1 . (cid:0) 1/ k L 2m C " 2k C ı ; where ";ı 2 f 0;1 g .
E. Kılıç, N. Ömür, Y. T. Ulutas
semanticscholar   +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

Pattern Avoidance in Weak Ascent Sequences [PDF]

Discrete Mathematics & Theoretical Computer Science
In this paper, we study pattern avoidance in weak ascent sequences, giving some results for patterns of length 3. This is an analogous study to one given by Duncan and Steingr\'imsson (2011) for ascent sequences. More precisely, we provide systematically
Beáta Bényi, Toufik Mansour, José L. Ramírez   +2 more
doaj   +1 more source