Results 51 to 60 of about 2,960 (152)

Orthogonal polynomials for exponential weights x2α(1 – x2)2ρe–2Q(x) on [0, 1)

Open Mathematics, 2020
Let Wα,ρ = xα(1 – x2)ρe–Q(x), where α > –12$\begin{array}{} \displaystyle \frac12 \end{array}$ and Q is continuous and increasing on [0, 1), with limit ∞ at 1.
Liu Rong
doaj   +1 more source

Covariance of the number of real zeros of a random trigonometric polynomial

International Journal of Mathematics and Mathematical Sciences, 2006
For random coefficients aj and bj we consider a random trigonometric polynomial defined as Tn(θ)=∑j=0n{ajcos⁡jθ+bjsin⁡jθ}. The expected number of real zeros of Tn(θ) in the interval (0,2π) can be easily obtained. In this note we show that this number is
K. Farahmand, M. Sambandham
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Critical Periods of Perturbations of Reversible Rigidly Isochronous Centers

Abstract and Applied Analysis, 2013
We study the problem of bifurcation of critical periods of a time-reversible polynomial system of degree n. We first present a new method to find the number of zeros of the period function.
Jiamei Zhou, Na Li, Maoan Han
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Zeros of 3F2 hypergeometric polynomials

Journal of Computational and Applied Mathematics, 2001
The zeros of polynomials \(_2F_1[-n, b;c;z]\), where \(b\) is real and \(c\) is \({1\over 2}\) or \({3\over 2}\), have been discussed recently by Driver and Möller [J. Comput. Appl. Math. (to appear). These results are applied in the present paper to investigate the zeros of three \(_3F_2 [z]\) polynomials that are expressible as constant multiples of ...
Driver, K.A., Love, A.D.
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Zero Asymptotics of Laurent Orthogonal Polynomials

Journal of Approximation Theory, 1996
Let {hn(z)} be the sequence of polynomials, satisfying +0 hm(x) hn(x) x-n dp(x) = mn, 0 m n, where n [0, 2n], n N. For a wide class of weights dp(x) and under the assumption limn n/(2n) = [0, 1], two descriptions of the zero asymptotics of {hn(z)} are obtained.
Hernández, M.B., Finkelshtein, A.M.
openaire   +4 more sources

Some Inequalities on Polynomials in the Complex Plane Concerning a Linear Differential Operator

Journal of Mathematics
In this paper, we consider new extremal problems in the uniform norm between a univariate complex polynomial and its associated reciprocal polynomial involving a generalized B-operator.
Mayanglambam Singhajit Singh, Madhav Prasad Poudel, Barchand Chanam   +2 more
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The Zeros of the Bergman Kernel for Some Reinhardt Domains

Journal of Function Spaces, 2016
We consider the Reinhardt domain Dn={(ζ,z)∈C×Cn:|ζ ...
Jong-Do Park
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Uniqueness results for differential polynomials sharing a set [PDF]

Mathematica Bohemica
We investigate the uniqueness results of meromorphic functions if differential polynomials of the form $(Q(f))^{(k)}$ and $(Q(g))^{(k)}$ share a set counting multiplicities or ignoring multiplicities, where $Q$ is a polynomial of one variable.
Soniya Sultana, Pulak Sahoo
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Zeros of Dirichlet polynomials

Transactions of the American Mathematical Society, 2020
We consider a certain class of multiplicative functions f : N → C f: \mathbb N \rightarrow \mathbb C and study the distribution of zeros of Dirichlet polynomials F N ( s ) = ∑
Roy, Arindam, Vatwani, Akshaa
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Some Inequalities for the Derivative of Polynomials

Journal of Mathematics, 2014
If pz=∑υ=0ncυzυ is a polynomial of degree n, having no zeros in ...
Sunil Hans, Dinesh Tripathi, Babita Tyagi   +2 more
doaj   +1 more source