Research Abstract
The aim of this paper is to define and study the Legendre matrix polynomials. An explicit representation, a three-term matrix recurrence relation, Rodrigues's formula, hypergeometric matrix representations and Christoffel formula for the Legendre matrix polynomials are given, and the Legendre matrix differential equations of second order are established.
Research Department
Research Journal
International Transactions in Mathematical Sciences and Computer
Research Member
Research Rank
1
Research Vol
Vol. 4 No. 2
Research Website
http://www.aacsjournals.com/newabstract.php?Journal=ITMSC&Volume=24&Volume_no=4&Volume_year=2011&Issue=2&Issue_id=38&Month=July-December#/NA.pdf
Research Year
2011
Research Pages
291-310