Polynomial Mappings with Small Degree by Jelonek Zbigniew

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Dirichlet characters of the rational polynomials by Wenjia Guo, Xiaoge Liu, Tianping Zhang

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Chromatic Polynomials of Mixed Hypercycles by Allagan Julian A., Slutzky David

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Hunt for 3-Schur polynomials by A. Morozov, N. Tselousov

“…This paper describes our attempt to understand the recent success of Na Wang in constructing the 3-Schur polynomials, associated with the plane partitions. We provide a rather detailed review and try to figure out the new insights, which allowed to overcome the problems of the previous efforts. …”
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Symmetric polynomials on Banach spaces by I. V. Chernega

“…A survey of general results about symmetric polynomials on Banach spaces and rearrangement-invariant function spaces and some new results in this area are given. …”
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Discrete Hypergeometric Legendre Polynomials by Tom Cuchta, Rebecca Luketic

Subjects: “…Legendre polynomial…”
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Macdonald polynomials at $t=q^k$ by Jean-Gabriel Luque

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On oscillation theorems for differential polynomials by A. El Farissi, B. Belaidi

“…In this paper, we investigate the relationship between small functions and differential polynomials $g_{f}\left( z\right)=d_{2}f^{^{\prime \prime }} + d_{1}f^{^{\prime }}+d_{0}f$, where $d_{0}\left(z\right), d_{1}\left( z\right), d_{2}\left( z\right) $ are meromorphic functions that are not all equal to zero with finite order generated by solutions of the second order linear differential equation \begin{equation*} f^{^{\prime \prime }}+Af^{^{\prime }}+Bf=F, \end{equation*} where $A,$ $B,$ $F\not\equiv 0$ are finite order meromorphic functions having only finitely many poles.…”
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On the Roots of a Family of Polynomials by Marilena Jianu

Subjects: “…reliability polynomial…”
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Irreducible polynomials in Int(ℤ) by Antoniou Austin, Nakato Sarah, Rissner Roswitha

“…In order to fully understand the factorization behavior of the ring Int(ℤ) = {f ∈ ℚ[x] | f (ℤ) ⊆ ℤ} of integer-valued polynomials on ℤ, it is crucial to identify the irreducible elements. …”
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The class of Lucas-Lehmer polynomials by Pierluigi Vellucci, Alberto Maria Bersani

Subjects: “…chebyshev polynomials…”
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The multivariate arithmetic Tutte polynomial by Petter Brändèn, Luca Moci

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Krylov complexity and orthogonal polynomials by Wolfgang Mück, Yi Yang

“…The mathematics of Krylov complexity can be described in terms of orthogonal polynomials. We provide a pedagogical introduction to the subject and work out analytically a number of examples involving the classical orthogonal polynomials, polynomials of the Hahn class, and the Tricomi-Carlitz polynomials.…”
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Oblivious evaluation of multivariate polynomials by Tassa Tamir, Jarrous Ayman, Ben-Ya'akov Yonatan

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The Neighborhood Polynomial of Chordal Graphs by Helena Bergold, Winfried Hochstättler, Uwe Mayer

“…We study the neighborhood polynomial and the complexity of its computation for chordal graphs. …”
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Counting words with Laguerre polynomials by Jair Taylor

Subjects: “…laguerre polynomial…”
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Superior domination polynomial of cycles by R Tejaskumar

Subjects: “…superior distance, superior domination, neighbourhood vertex, superior domination polynomial.…”
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On the Number of Polynomials with Coefficients In [n] by Andrica Dorin, Ionascu Eugen J.

“…In this paper we introduce several natural sequences related to polynomials of degree s having coefficients in {1,2, …,n} (n ∈ N) which factor completely over the integers. …”
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Problems on multivariate reliability polynomial by Constantin Udriste, Ionel Tevy, Saad Abbas Abed

“…The original results include: (i) homogenization of a reliability polynomial; (ii) compact hypersurfaces attached to homogeneous polynomials; (iii) an affine diffeomorphism that preserves a reliability polynomial; (iv) duality of networks via a diffeomorphism; (v) straight line segments in constant level sets associated to a reliability polynomial.…”
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On Multiple Polynomials of Capelli Type by S.Y. Antonov, A.V. Antonova

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