Zobrazeno 1 - 10
of 90
pro vyhledávání: '"Driver, Kathy"'
Autor:
Bihun, Oksana, Driver, Kathy
Let $\displaystyle \{x_{k,n-1}\} _{k=1}^{n-1}$ and $\displaystyle \{x_{k,n}\} _{k=1}^{n},$ $n \in \mathbb{N}$, be two sets of real, distinct points satisfying the interlacing property $ x_{i,n}
Externí odkaz:
http://arxiv.org/abs/1905.04276
Autor:
Driver, Kathy, Muldoon, Martin E.
We discuss and compare upper and lower bounds obtained by two different methods for the positive zero of the ultraspherical polynomial $C_{n}^{(\lambda)}$ that is greater than $1$ when $-3/2 < \lambda < -1/2.$ Our first approach uses mixed three term
Externí odkaz:
http://arxiv.org/abs/1602.00044
Autor:
Driver, Kathy, Jordaan, Kerstin
Publikováno v:
SIGMA 12 (2016), 042, 13 pages
We consider interlacing properties satisfied by the zeros of Jacobi polynomials in quasi-orthogonal sequences characterised by $\alpha>-1$, $-2<\beta<-1$. We give necessary and sufficient conditions under which a conjecture by Askey, that the zeros o
Externí odkaz:
http://arxiv.org/abs/1510.08599
Autor:
Driver, Kathy, Muldoon, Martin E.
Publikováno v:
In Journal of Approximation Theory December 2019 248
We investigate the zeros of polynomial solutions to the differential-difference equation \[ P_{n+1}(x)=A_{n}(x)P_{n}^{\prime}(x)+B_{n}(x)P_{n}(x), n=0,1,... \] where $A_{n}$ and $B_{n}$ are polynomials of degree at most 2 and 1 respectively. We addre
Externí odkaz:
http://arxiv.org/abs/0902.0041
Autor:
Driver, Kathy, Muldoon, Martin E.
Publikováno v:
In Indagationes Mathematicae September 2016 27(4):930-944
Autor:
Driver, Kathy, Muldoon, Martin E.
Publikováno v:
In Journal of Mathematical Analysis and Applications 1 July 2016 439(1):323-329
Autor:
Driver, Kathy, Muldoon, Martin E.
Publikováno v:
In Journal of Approximation Theory May 2015 193:89-98
Autor:
Driver, Kathy, Jordaan, Kerstin
Publikováno v:
In Indagationes Mathematicae 2011 21(3):204-211
Publikováno v:
The American Mathematical Monthly, 2005 Aug 01. 112(7), 612-630.
Externí odkaz:
https://www.jstor.org/stable/30037546