Author:
Borwein Peter B.,Chen Weiyu,Dilcher Karl
Abstract
AbstractThe operator Im is defined as m-fold indefinite integration with zero constants of integration. The zero distribution of Im(p) for polynomials p is studied in general, and for two special classes of polynomials in detail. The main results are: (i) The zeros of In(Pn), where Pn(𝑧) is the n-th Legendre polynomial, converge to a certain algebraic curve; (ii) the zeros of an integer) converge to pieces of a circle and of two "Szegö curves".
Publisher
Canadian Mathematical Society
Cited by
7 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献
1. Iterated Integrals and Borwein–Chen–Dilcher Polynomials;Mediterranean Journal of Mathematics;2020-08-20
2. Iterated Integrals of Jacobi Polynomials;Bulletin of the Malaysian Mathematical Sciences Society;2019-09-14
3. Iterated integrals of polynomials;Applied Mathematics and Computation;2014-12
4. Chromatic Roots are Dense in the Whole Complex Plane;Combinatorics, Probability and Computing;2004-03
5. Zeros of Sections of Divergent Power Series;Journal of Mathematical Analysis and Applications;1996-02