References
Bailey, W.N.: Some integrals involving Bessel functions. Quart. J. Math. Oxford9, 141–147 (1938).
Cooke, R.G.: Gibbs's phenomenon in Fourier-Bessel series and integrals. Proc. London Math. Soc. (2),27, 171–192 (1927).
—: A monotonic property of Bessel functions. J. London Math. Soc.12, 180–185 (1937).
Hartman, P., Wintner, A.: On nonconservative linear oscillators of low frequency. Amer. J. Math.70, 529–539 (1948).
Lorch, L., Muldoon, M.E., Szego, P.: Higher monotonicity properties of certain Sturm-Liouville functions, III. Can. J. Math.22, 1238–1265 (1970).
Makai, E.: On a monotonic property of certain Sturm-Liouville functions. Acta Math. Acad. Sci. Hungar.3, 165–171 (1952).
Tricomi, F.G.: Integral equations, New York: Interscience 1957.
Watson, G.N.: A treatise on the theory of Bessel functions, second ed. Cambridge: Cambridge University Press 1944.
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Steinig, J. On a monotonicity property of Bessel functions. Math Z 122, 363–365 (1971). https://doi.org/10.1007/BF01110172
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DOI: https://doi.org/10.1007/BF01110172