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Monotonicity of the differences of zeros of Bessel functions as a function of order


Authors: Lee Lorch and Peter Szego
Journal: Proc. Amer. Math. Soc. 15 (1964), 91-96
MSC: Primary 33.25
DOI: https://doi.org/10.1090/S0002-9939-1964-0158106-9
MathSciNet review: 0158106
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  • [1] Ch.-J. de La Vallée Poussin, Cours d'analyse infinitésimale, Vol. 1, 8th ed., Louvain, 1938 and New York, 1946.
  • [2] Lee Lorch and Peter Szego, Higher monotonicity properties of certain Sturm-Liouville functions., Acta Math. 109 (1963), 55–73. MR 0147695, https://doi.org/10.1007/BF02391809
  • [3] L. Lorch and P. Szego, Higher monotonicity properties of certain Sturm-Liouville functions. II, Bull. Acad. Polon. Sci. Sér. Sci. Math. Astronom. Phys. 11 (1963), 455–457. MR 0158114
  • [4] G. Szegö and P. Turán, On the monotone convergence of certain Riemann sums, Publ. Math. Debrecen 8 (1961), 326–335. MR 0137818
  • [5] Paul Turán, On the zeros of the polynomials of Legendre, Časopis Pěst. Mat. Fys. 75 (1950), 113–122 (English, with Czech summary). MR 0041284
  • [6] G. N. Watson, A Treatise on the Theory of Bessel Functions, Cambridge University Press, Cambridge, England; The Macmillan Company, New York, 1944. MR 0010746

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DOI: https://doi.org/10.1090/S0002-9939-1964-0158106-9
Article copyright: © Copyright 1964 American Mathematical Society