Abstract
In this paper we give some inequalities for the zerosc ν,n of the cilinder functionJ ν (x)cosα−Y ν (x)sindα, 0≤α<π, for the zerosc′ν,n ofC′ν(x) and we make an application to negative zerosa n ,b n of Airy functions Ai(x), Bi(x) of first and second kind respectively. We also make a comparison between inequalities related to the first zeroj ν,1 of the Bessel functionJ ν (x) of first kind with ν>0 and other known inequalities. Some results are new, other not, but in this case they are derived in a simpler way than usual ones.
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