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Volume 8, Issue 1, Article 24 |
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Inequalities for the Smallest Zeros of Laguerre Polynomials and their $q$-analogues
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Authors: |
Dharma P. Gupta, Martin E. Muldoon, |
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Keywords:
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Laguerre polynomials, Zeros, q-Laguerre polynomials, Inequalities. |
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Date Received:
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03/08/06 |
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Date Accepted:
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28/02/07 |
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Subject Codes: |
33C45, 33D45.
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Editors: |
Doru Stefanescu, |
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Abstract: |
We present bounds and approximations for the smallest positive zero of the Laguerre polynomial  which are sharp as  . We indicate the applicability of the results to more general functions including the  -Laguerre polynomials.
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