Zeros of a family of hypergeometric para-orthogonal polynomials on the unit circle Para-orthogonal polynomials derived from orthogonal polynomials on the unit circle are known to have all their zeros on the unit circle. In this note we st... DK Dimitrov,AS Ranga - 《Mathematische Nachrichten》 ...
aresult in an apparent change in the resonance frequencies. 结果在共鸣频率上的一个明显的变化。[translate] aIf B(z) has no zeros on the unit circle, the process defined in (2) is invertible and also has an 如果B( z) 在单位圆没有零,在2定义的 (过程) 是可转位的并且有[translate]...
Hughes, C.P., Nikeghbali, A.: The zeros of random polynomials cluster uniformly near the unit circle. Compos. Math. 144 , 734–746 (2008) MATH MathSciNetHughes, C.P. and A. Nikeghbali (2008) "The zeros of random polyno- mials cluster uniformly near the unit circle", Compositio ...
1. Introduction In a recent paper, Murty, Smyth and Wang considered the Ramanujan polynomials [MSW]. They were defined by Gun, Murty and Rath [GMR] using (1.1) R2k+1(z) := ∑...P. Lakatos and L. Losonczi. Polynomials with all zeros on the unit circle. Acta Math. Hungar. 125 ...
a,才可能对美国黑人文学的传统进行有意义的评价。 Only then possibly carries on to the black American literature tradition has the significance appraisal.[translate] aF. ARIMA(0,2,2) Model[translate] awhere the zeros of θ(B) are outside the unit circle. Write the modelas[translate]...
Sri Ranga, A class of hypergeometric polynomials with zeros on the unit circle: Extremal and orthogonal properties and quadrature formulas, Applied Numerical Mathematics, 65 (2013), 41-52.D.K. Dimitrov, M.E.H. Ismail and A. Sri Ranga, A class of hypergeometric polynomials with zeros on the...
B.N. Datta: Matrix equations, matrix polynomials and the number of zeros of a polynomial inside the unit circle, Linear and Multilinear Alg. 9 (1980), 63–68.Datta,B.N.Matrix equations, matrix polynomials and the number of zeros of a polynomial inside the unit circle.Linear and ...
We also include related results that impose less restrictive conditions on the Verblunsky coefficients.doi:10.1007/s00365-011-9127-xBrian SimanekConstructive ApproximationB. Simanek, Zeros of non-Baxter paraorthogonal polynomials on the unit circle, Constr. Approx. 35 (2012), no. 1, 107-121....
DS Lubinsky - A New Approach to Universality Limits at the Edge of the Spectrum 被引量: 42发表: 2008年 Asymptotics of orthogonal polynomials with respect to an analytic weight with algebraic singularities on the circle Strong asymptotics of orthogonal polynomials on the unit circle with respect to...
zeros near the ferromagnetic critical point of the Q > 4 Potts models on the square lattice lie on the unit circle in the thermodynamic limit [45, 46]. Chen et al. [42] conjectured that when Q reaches a certain critical value