Cross-product of Bessel functions: Monotonicity patterns and functional inequalities
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: Proceedings - Mathematical Sciences
سال: 2018
ISSN: 0253-4142,0973-7685
DOI: 10.1007/s12044-018-0398-z