Results 71 to 80 of about 302 (115)

Some results for Apostol-type polynomials associated with umbral algebra

open access: yes, 2013
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

open access: yesOpen Mathematics
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

Sequences in overpartitions. [PDF]

open access: yesRamanujan J, 2023
Andrews GE, Uncu AK.
europepmc   +1 more source

Two-sided permutation statistics via symmetric functions

open access: yesForum of Mathematics, Sigma
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]

open access: yesDiscrete 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   +2 more
doaj   +1 more source

Interval and $\ell$-interval Rational Parking Functions [PDF]

open access: yesDiscrete Mathematics & Theoretical Computer Science
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]

open access: yesJ Algebr Comb (Dordr), 2022
Bridges W, Uncu AK.
europepmc   +1 more source

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