Abstract
Many of the special functions yn which occur in mathematical physics satisfy an inequality of the type y 2n+1 − ynyn+2 ≥ 0, for n = 0,1,2,... . This paper deals primarily with a relationship between this inequality and a three-term recurrence relation which can be considered as the generator of the yn. Only a few examples are given here, but many more can be derived just as easily.
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References
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© 1978 Springer Basel AG
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Ross, D.K. (1978). On Turán-Type Inequalities. In: Beckenbach, E.F. (eds) General Inequalities 1 / Allgemeine Ungleichungen 1. International Series of Numerical Mathematics / Internationale Schriftenreihe zur Numerischen Mathematik / Série Internationale d’Analyse Numérique, vol 41. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-5563-1_5
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DOI: https://doi.org/10.1007/978-3-0348-5563-1_5
Publisher Name: Birkhäuser, Basel
Print ISBN: 978-3-0348-5565-5
Online ISBN: 978-3-0348-5563-1
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