On the number of zeros of iterated operators on analytic Legendre expansions

Prather, Carl L.

On the number of zeros of iterated operators on analytic Legendre expansions

dc.contributor.author	Prather, Carl L.	en
dc.contributor.department	Mathematics	en
dc.date.accessioned	2017-09-18T10:09:22Z	en
dc.date.available	2017-09-18T10:09:22Z	en
dc.date.issued	2001-01-01	en
dc.date.updated	2017-09-18T10:09:22Z	en
dc.description.abstract	Let L=(1−z2)D2−2zD, D=d/dz and f(z)=∑n=0∞cnpn(z), with Pn being the nth Legendre polynomialand f analytic in an ellipse with foci ±1. Set Lk=L(Lk−1), k≥2. Then the number of zeros of Lkf(z) in this ellipse is O(klnk).	en
dc.description.version	Published version	en
dc.format.mimetype	application/pdf	en
dc.identifier.citation	Carl Prather, “On the number of zeros of iterated operators on analytic Legendre expansions,” International Journal of Mathematics and Mathematical Sciences, vol. 28, no. 8, pp. 461-467, 2001. doi:10.1155/S0161171201006056	en
dc.identifier.doi	https://doi.org/10.1155/S0161171201006056	en
dc.identifier.uri	http://hdl.handle.net/10919/79107	en
dc.language.iso	en	en
dc.publisher	Hindawi	en
dc.rights	Creative Commons Attribution 4.0 International	en
dc.rights.holder	Copyright © 2001 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.	en
dc.rights.uri	http://creativecommons.org/licenses/by/4.0/	en
dc.title	On the number of zeros of iterated operators on analytic Legendre expansions	en
dc.title.serial	International Journal of Mathematics and Mathematical Sciences	en
dc.type	Article - Refereed	en
dc.type.dcmitype	Text	en