Results 41 to 50 of about 582,984 (315)

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.
core   +3 more sources

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, Timothy Redmond, Charles Ryavec   +2 more
doaj   +1 more source

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 , Prasanna Poojary, G. R. Vadiraja Bhatta   +2 more
doaj   +1 more source

On the depth of binomial edge ideals of graphs [PDF]

Journal of Algebraic Combinatorics, 2021
Let G be a graph on the vertex set [n] and JG\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin ...
M. R. Malayeri, S. Madani, D. Kiani
semanticscholar   +1 more source

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
doaj   +1 more source

Efficient and Robust Combinatorial Option Pricing Algorithms on the Trinomial Lattice for Polynomial and Barrier Options

Mathematical Problems in Engineering, 2022
Options can be priced by the lattice model, the results of which converge to the theoretical option value as the lattice’s number of time steps n approaches infinity.
Jr-Yan Wang, Chuan-Ju Wang, Tian-Shyr Dai, Tzu-Chun Chen, Liang‐Chih Liu, Lei Zhou   +5 more
semanticscholar   +1 more source

Sparse Covers for Sums of Indicators [PDF]

, 2014
For all $n, \epsilon >0$, we show that the set of Poisson Binomial distributions on $n$ variables admits a proper $\epsilon$-cover in total variation distance of size $n^2+n \cdot (1/\epsilon)^{O(\log^2 (1/\epsilon))}$, which can also be computed in ...
Daskalakis, Constantinos, Papadimitriou, Christos   +1 more
core   +3 more sources

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, A. Szanto, Andrews, Andrews, Apéry, Beckermann, C. D'Andrea, D'Andrea, D'Andrea, D'Andrea, D'Andrea, Hong, Jacobi, Krick, Lascoux, M. Valdettaro, Ma, Mishra, Ostrowski, Pfaff, Poisson, Roy, Saalschütz, Slater, Sylvester, Sylvester, Sylvester, Sylvester, T. Krick, von zur Gathen   +29 more
core   +5 more sources

Factoring peak polynomials [PDF]

Discrete Mathematics & Theoretical Computer Science, 2015
Given a permutation $\pi=\pi_1\pi_2\cdots \pi_n \in S_n$, we say an index $i$ is a peak if $\pi_{i-1} < \pi_i > \pi_{i+1}$. Let $P(\pi)$ denote the set of peaks of $\pi$.
Sara Billey, Matthew Fahrbach, Alan Talmage   +2 more
doaj   +1 more source

Calculation of some determinants using the s-shifted factorial [PDF]

, 2004
Several determinants with gamma functions as elements are evaluated. This kind of determinants are encountered in the computation of the probability density of the determinant of random matrices. The s-shifted factorial is defined as a generalization for
Abramowitz M, Aigner M, Bateman H, Bateman H, Bateman H, Comtet L, Gradshteyn I S, Jean-Marie Normand, Krattenthaler C, Mehta M L, Mehta M L, Mehta M L, Mehta M L, Moussa P, Normand J-M Mehta M L, Penson K A, Rosen K H, Rota G-C   +17 more
core   +4 more sources