Fuzzy Integral domains and Fuzzy regular sequences
Open Journal of Mathematical Sciences, 2018 In this paper, the notions of fuzzy zero-divisors and fuzzy integral domains are illustrated. Some fundamental properties of fuzzy integral domains are proved. Moreover, the notions of fuzzy regular element and fuzzy regular sequences are defined.
Saba Ayub, Waqas Mahmood
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Barnes-type Daehee of the first kind and poly-Cauchy of the first kind mixed-type polynomials
, 2014 In this paper, by considering Barnes-type Daehee polynomials of the first kind as well as poly-Cauchy polynomials of the first kind, we define and investigate the mixed-type polynomials of these polynomials.
Dae San Kim +3 more
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Parabolic Catalan numbers count flagged Schur functions and their appearances as type A Demazure characters (key polynomials) [PDF]
Discrete Mathematics & Theoretical Computer Science, 2017 Fix an integer partition lambda that has no more than n parts. Let beta be a weakly increasing n-tuple with entries from {1,..,n}. The flagged Schur function indexed by lambda and beta is a polynomial generating function in x_1, .., x_n for certain ...
Robert A. Proctor, Matthew J. Willis
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New sharp bounds for logarithmic mean and identric mean
, 2013 For x,y>0 with x≠y, let L=L(x,y), I=I(x,y), A=A(x,y), G=G(x,y), Ar=A1/r(xr,yr) denote the logarithmic mean, identric mean, arithmetic mean, geometric mean and r-order power mean, respectively. We find the best constant p,q>0 such that the inequalities
Zhen-Hang Yang
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Distribution of sets of descent tops and descent bottoms on restricted permutations [PDF]
Discrete Mathematics & Theoretical Computer ScienceIn this note, we prove some and conjecture other results regarding the distribution of descent top and descent bottom sets on some pattern-avoiding permutations.
Alexander Burstein
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Classical pattern distributions in $\mathcal{S}_{n}(132)$ and $\mathcal{S}_{n}(123)$ [PDF]
Discrete Mathematics & Theoretical Computer Science, 2019 Classical pattern avoidance and occurrence are well studied in the symmetric group $\mathcal{S}_{n}$. In this paper, we provide explicit recurrence relations to the generating functions counting the number of classical pattern occurrence in the set of ...
Dun Qiu, Jeffrey Remmel
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On hyperbolic k-Pell quaternions sequences
, 2018 In this paper we introduce the hyperbolic k-Pell functions and new classes of quaternions associated with this type of functions are presented.
P. Catarino
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The number of convex topologies on a finite totally ordered set
, 2015 We give an algorithm to find the number Tcvx(n) of convex topologies on a totally ordered set X with n elements, and present these numbers for n ≤ 10. 2010 Mathematics Subject Classification: 54A10, 54F05, 06F30, 05A15.
Tyler Clark, T. Richmond
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Further results on enumeration of perfect matchings of Cartesian product graphs
Open MathematicsCounting perfect matchings is an interesting and challenging combinatorial task. It has important applications in statistical physics and chemistry. As the general problem is #P-complete, it is usually tackled by randomized heuristics and approximation ...
Wu Tingzeng, Zeng Xiaolin
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Consecutive Patterns in Inversion Sequences [PDF]
Discrete Mathematics & Theoretical Computer Science, 2019 An inversion sequence of length $n$ is an integer sequence $e=e_{1}e_{2}\dots e_{n}$ such that $0\leq e_{i}
Juan S. Auli, Sergi Elizalde
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