Monotonicity of the differences of zeros of Bessel functions as a function of order
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- by Lee Lorch and Peter Szego PDF
- Proc. Amer. Math. Soc. 15 (1964), 91-96 Request permission
References
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Ch.-J. de La Vallée Poussin, Cours d’analyse infinitésimale, Vol. 1, 8th ed., Louvain, 1938 and New York, 1946.
- Lee Lorch and Peter Szego, Higher monotonicity properties of certain Sturm-Liouville functions, Acta Math. 109 (1963), 55–73. MR 147695, DOI 10.1007/BF02391809
- 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 158114
- G. Szegö and P. Turán, On the monotone convergence of certain Riemann sums, Publ. Math. Debrecen 8 (1961), 326–335. MR 137818
- Paul Turán, On the zeros of the polynomials of Legendre, Časopis Pěst. Mat. Fys. 75 (1950), 113–122 (English, with Czech summary). MR 0041284
- G. N. Watson, A Treatise on the Theory of Bessel Functions, Cambridge University Press, Cambridge, England; The Macmillan Company, New York, 1944. MR 0010746
Additional Information
- © Copyright 1964 American Mathematical Society
- 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