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Higher monotonicity properties of certain Sturm-Liouville functions. (English) Zbl 0111.06502

Full Text: DOI
[1] W. G. Bickley &J. C. P. Miller, Notes on the evaluation of zeros and turning values of Bessel functions. -- V. Checks,The London, Edinburgh and Dublin Philos. Magazine and Journal of Science seventh series,36 (1945), 206--210. · Zbl 0061.30211
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[10] L. Lorch & L. Moser, A remark on completely monotonic sequences, with an application to summability.Canad. Math. Bull., 6 (1963). · Zbl 0122.30601
[11] L. Lorch & P. Szego, Monotonicity of the differences of zeros of Bessel functions as a function of order.Proc. Amer. Math. Soc. To appear. · Zbl 0126.08603
[12] E. Makai, On a monotonic property of certain Sturm-Liouville functions.Acta Math. Acad. Sci. Hungar., 3 (1952), 165--172. · Zbl 0048.32302 · doi:10.1007/BF02022519
[13] F. W. J. Olver (editor),Royal Society Mathematical Tables, vol. 7: Bessel functions. Part III: Zeros and associated values. Cambridge, 1960. · Zbl 0094.31603
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