A new summability property of the zeros of Bessel functions
نویسندگان
چکیده
منابع مشابه
A monotonicity property of Bessel functions
We extend and unify the proof of a result of L. Lorch (Rend. Sem. Mat. Univ. Politec. Torino 50 (1992), 209–216) by showing that the ratio sgn(ν)Jν+1(|ν|)/Jν(|ν|) increases from −∞ to 1 as ν increases from ν0 (= −0.8375 . . .) to ∞. Here ν0 is the largest zero of Jν(|ν|). One approach is based on an expansion of this ratio involving Rayleigh sums. Another is based on a continued fraction repres...
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ژورنال
عنوان ژورنال: Global Journal of Pure and Applied Sciences
سال: 2004
ISSN: 1118-0579
DOI: 10.4314/gjpas.v10i3.16423