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Axioms, Volume 11, Issue 5

May 2022 - 60 articles

Cover Story: The affine Hecke algebra of type A has parameters (q,t) and acts on polynomials in N variables. There are two pairwise commuting sets of elements in the algebra: the Cherednik operators and the Jucys–Murphy elements. For certain parameter values, there are polynomials which are simultaneous eigenfunctions with equal corresponding eigenvalues of both sets of operators. These are called singular polynomials. The parameter values are qm =t-n with 2≤n≤N. The singular polynomials span an irreducible module of the Hecke algebra. Previously, it was shown that there are singular polynomials which are specializations of nonsymmetric Macdonald polynomials, and the isotype of the Hecke algebra module is (dn-1,n-1,…,n-1,r) for some d≥1. Here, it is shown that there are no other singular polynomials. View this paper
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Articles (60)

  • Article
  • Open Access
6 Citations
2,604 Views
20 Pages

Some New Bounds for the Inverse Sum Indeg Energy of Graphs

  • Fengwei Li,
  • Qingfang Ye and
  • Hajo Broersma

23 May 2022

Let G be a (molecular) graph with n vertices, and di be the degree of its i-th vertex. Then, the inverse sum indeg matrix of G is the n×n matrix C(G) with entries cij=didjdi+dj, if the i-th and the j-th vertices are adjacent and 0 otherwise. Le...

  • Review
  • Open Access
4 Citations
4,357 Views
18 Pages

The State of the Art of Data Mining Algorithms for Predicting the COVID-19 Pandemic

  • Keila Vasthi Cortés-Martínez,
  • Hugo Estrada-Esquivel,
  • Alicia Martínez-Rebollar,
  • Yasmín Hernández-Pérez and
  • Javier Ortiz-Hernández

23 May 2022

Current computer systems are accumulating huge amounts of information in several application domains. The outbreak of COVID-19 has increased rekindled interest in the use of data mining techniques for the analysis of factors that are related to the e...

  • Article
  • Open Access
19 Citations
3,332 Views
17 Pages

Retrial Queuing-Inventory Systems with Delayed Feedback and Instantaneous Damaging of Items

  • Agassi Melikov,
  • Sevinj Aliyeva,
  • Sajeev S. Nair and
  • B. Krishna Kumar

20 May 2022

This paper studies a Markov model of a queuing-inventory system with primary, retrial, and feedback customers. Primary customers form a Poisson flow, and if an inventory level is positive upon their arrival, they instantly receive the items. If the i...

  • Article
  • Open Access
2,142 Views
10 Pages

Fuzzy Caratheodory’s Theorem and Outer ∗-Fuzzy Measure

  • Radko Mesiar,
  • Chenkuan Li,
  • Abbas Ghaffari and
  • Reza Saadati

20 May 2022

The goal of this paper is to introduce two new concepts ∗-fuzzy premeasure and outer ∗-fuzzy measure, and to further prove some properties, such as Caratheodory’s Theorem, as well as the unique extension of ∗-fuzzy premeasu...

  • Article
  • Open Access
5 Citations
2,250 Views
15 Pages

Two Invariants for Geometric Mappings

  • Nenad O. Vesić,
  • Vladislava M. Milenković and
  • Mića S. Stanković

20 May 2022

Two invariants for mappings of affine connection spaces with a special form of deformation tensors are obtained in this paper. We used the methodology of Vesić to obtain the form of these invariants. At the end of this paper, we used these forms...

  • Article
  • Open Access
1 Citations
3,065 Views
17 Pages

20 May 2022

As Vietnam continues to industrialize and modernize, such economic development and high-tech will require a major electrical energy source to operate the electrical equipment; hence, the hydropower plants are established and growing up to demand. The...

  • Article
  • Open Access
6 Citations
2,657 Views
13 Pages

Certain Subclasses of Bi-Starlike Function of Complex Order Defined by Erdély–Kober-Type Integral Operator

  • Alhanouf Alburaikan,
  • Gangadharan Murugusundaramoorthy and
  • Sheza M. El-Deeb

20 May 2022

In the present paper, we introduce new subclasses of bi-starlike and bi-convex functions of complex order associated with Erdély–Kober-type integral operator in the open unit disc and find the estimates of initial coefficients in these c...

  • Article
  • Open Access
7 Citations
2,643 Views
12 Pages

19 May 2022

In this paper, the authors provide several sharp upper and lower bounds for the Neuman–Sándor mean in terms of the arithmetic and contra-harmonic means, and present some new sharp inequalities involving hyperbolic sine function and hyper...

  • Feature Paper
  • Article
  • Open Access
3 Citations
2,908 Views
27 Pages

18 May 2022

In free surface flows, shallow water models simplify the flow conditions by assuming a constant velocity profile over the water depth. Recently developed Shallow Water Moment Equations allow for variations of the velocity profile at the expense of a...

  • Article
  • Open Access
28 Citations
2,800 Views
13 Pages

18 May 2022

In this paper, the integrable (2+1)-dimensional Maccari system (MS), which can model many complex phenomena in hydrodynamics, plasma physics and nonlinear optics, is investigated by the variational approach (VA). This proposed approach that based on...

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Axioms - ISSN 2075-1680