Near-Legendre Differential Equations
A differential equation of the form ((1-x^2m ) y^((k)) )^((2m-k))+λy=0,-1≤x≤1,0≤k≤2m;k,m integers is called a near-Legendre equation. We show that such an equation has infinitely many polynomial solutions corresponding to infinitely many λ. We list all of these equations for 1≤m≤2. We...
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| Format: | Article |
| Language: | English |
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Faculty of Computer Science and Mathematics, University of Kufa
2019-01-01
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| Series: | Journal of Kufa for Mathematics and Computer |
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| Online Access: | https://journal.uokufa.edu.iq/index.php/jkmc/article/view/2084 |