Results 71 to 80 of about 302 (115)
Some results for Apostol-type polynomials associated with umbral algebra
A family of the Apostol-type polynomials was introduced and investigated recently by Luo and Srivastava (see (Appl. Math. Comput. 217:5702-5728, 2011)). In this paper, we study this polynomial family on P, the algebra of polynomials in a single variable ...
Da-qian Lu, C. Xiang, Qiu-Ming Luo
semanticscholar +1 more source
Zeros distribution and interlacing property for certain polynomial sequences
In this article, we first prove that the Hankel determinant of order three of the polynomial sequence {Pn(x)=∑k≥0P(n,k)xk}n≥0{\left\{{P}_{n}\left(x)={\sum }_{k\ge 0}P\left(n,k){x}^{k}\right\}}_{n\ge 0} is weakly (Hurwitz) stable, where P(n,k)P\left(n,k ...
Guo Wan-Ming
doaj +1 more source
Two-sided permutation statistics via symmetric functions
Given a permutation statistic $\operatorname {\mathrm {st}}$ , define its inverse statistic $\operatorname {\mathrm {ist}}$ by . We give a general approach, based on the theory of symmetric functions, for finding the joint distribution of
Ira M. Gessel, Yan Zhuang
doaj +1 more source
Pattern Avoidance in Weak Ascent Sequences [PDF]
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+2 more
doaj +1 more source
On the critical exponents of generalized ballot sequences in three dimensions and large tandem walks. [PDF]
Wallner M.
europepmc +1 more source
Interval and $\ell$-interval Rational Parking Functions [PDF]
Interval parking functions are a generalization of parking functions in which cars have an interval preference for their parking. We generalize this definition to parking functions with $n$ cars and $m\geq n$ parking spots, which we call interval ...
Tomás Aguilar-Fraga+14 more
doaj +1 more source
Weighted cylindric partitions. [PDF]
Bridges W, Uncu AK.
europepmc +1 more source
Enumeration of coalescent histories for caterpillar species trees and p-pseudocaterpillar gene trees. [PDF]
Alimpiev E, Rosenberg NA.
europepmc +1 more source
Finite automata, probabilistic method, and occurrence enumeration of a pattern in words and permutations. [PDF]
Mansour T, Rastegar R, Roitershtein A.
europepmc +1 more source