Results 31 to 40 of about 56,399 (238)
Computational Methods and Function Theory, 2013 The binomial polynomials are defined by the sum representation, $$\begin{aligned} Q_{n}^{(r)} (z) = \sum _{k=0}^n \genfrac(){0.0pt}{}{n}{k}^{r+1} z^k, \qquad n\in \mathbb{N },\,z\in \mathbb{C }, \end{aligned}$$ where \(r\) is a non-negative integer. Using a multivariate complex integral representation, the asymptotical behavior of the sequence \(
Abel, Ulrich +2 more
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Finding binomials in polynomial ideals [PDF]
Research in the Mathematical Sciences, 2017 11 pages, v2: final version, to appear in Res.
Jensen, Anders Nedergaard +2 more
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A rapidly convergent method for solving third-order polynomials
AIP Advances, 2022 We present a rapidly convergent method for solving cubic polynomial equations with real coefficients. The method is based on a power series expansion of a simplified form of Cardano’s formula using Newton’s generalized binomial theorem.
Ramón A. Fernández Molina +3 more
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Bi-level authentication and mannequin routing for improving security features of WSN-IoT [PDF]
Научно-технический вестник информационных технологий, механики и оптики, 2021 Node authentication and key management are the two significant security services employed in Wireless Sensor Networks (WSN). Since the growth of the devices in WSN is rapidly increasing, strong security policies should be employed to save the network ...
Loganathan Sasirega, Chandrabose Shanthi
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New genomic regions associated with white mold resistance in dry bean using a MAGIC population
The Plant Genome, 2022 Dry bean (Phaseolus vulgaris L.) production in many regions is threatened by white mold (WM) [Sclerotinia sclerotiorum (Lib.) de Bary]. Seed yield losses can be up to 100% under conditions favorable for the pathogen.
Edgar Escobar +9 more
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Asymptotics of a ${}_3F_2$ polynomial associated with the Catalan-Larcombe-French sequence [PDF]
, 2006 The large $n$ behaviour of the hypergeometric polynomial $$\FFF{-n}{\sfrac12}{\sfrac12}{\sfrac12-n}{\sfrac12-n}{-1}$$ is considered by using integral representations of this polynomial.
Temme, Nico M.
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Evaluation of a Special Hankel Determinant of Binomial Coefficients [PDF]
Discrete Mathematics & Theoretical Computer Science, 2008 This paper makes use of the recently introduced technique of $\gamma$-operators to evaluate the Hankel determinant with binomial coefficient entries $a_k = (3 k)! / (2k)! k!$. We actually evaluate the determinant of a class of polynomials $a_k(x)$ having
Ömer Eugeciouglu +2 more
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A recent survey of permutation trinomials over finite fields
AIMS Mathematics, 2023 Constructing permutation polynomials is a hot topic in the area of finite fields, and permutation polynomials have many applications in different areas. Recently, several classes of permutation trinomials were constructed.
Varsha Jarali +2 more
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A Mechanistic Beta-Binomial Probability Model for mRNA Sequencing Data. [PDF]
PLoS ONE, 2016 A main application for mRNA sequencing (mRNAseq) is determining lists of differentially-expressed genes (DEGs) between two or more conditions. Several software packages exist to produce DEGs from mRNAseq data, but they typically yield different DEGs ...
Gregory R Smith, Marc R Birtwistle
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Subresultants in multiple roots: an extremal case [PDF]
, 2017 We provide explicit formulae for the coefficients of the order-d polynomial subresultant of (x-\alpha)^m and (x-\beta)^n with respect to the set of Bernstein polynomials \{(x-\alpha)^j(x-\beta)^{d-j}, \, 0\le j\le d\}.
A. Bostan +29 more
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