Some monotonicity properties associated with the zeros of Bessel functions

Lee Lorch

Archivum Mathematicum (1990)

  • Volume: 026, Issue: 2-3, page 137-146
  • ISSN: 0044-8753

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Lorch, Lee. "Some monotonicity properties associated with the zeros of Bessel functions." Archivum Mathematicum 026.2-3 (1990): 137-146. <http://eudml.org/doc/18295>.

@article{Lorch1990,
author = {Lorch, Lee},
journal = {Archivum Mathematicum},
keywords = {cylinder functions},
language = {eng},
number = {2-3},
pages = {137-146},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {Some monotonicity properties associated with the zeros of Bessel functions},
url = {http://eudml.org/doc/18295},
volume = {026},
year = {1990},
}

TY - JOUR
AU - Lorch, Lee
TI - Some monotonicity properties associated with the zeros of Bessel functions
JO - Archivum Mathematicum
PY - 1990
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 026
IS - 2-3
SP - 137
EP - 146
LA - eng
KW - cylinder functions
UR - http://eudml.org/doc/18295
ER -

References

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  1. Milton Abramowitz, Zeros of certain Bessel functions of fractional order, Math. Comp.. (then Math. Tables and other Aids to Comp.) 1 (1943-1945), 353-354. (1943) MR0011176
  2. Á. Elbert, A. Laforgia, On the square of the zeros of Bessel functions, SIAM J. Math. Anal. 15 (1984), 206-212. (1984) Zbl0541.33001MR0728696
  3. Mourad E. H. Ismail, Martin E. Muldoon, On the Variation with respect to a parameter of zeros of Bessel and q-Bessel functions, J. Math. Anal. and Appl. 135 (1988), 187-207. (1988) MR0960813
  4. E. Jahnke F. Emde, F. Lösch, Tables of higher functions, 6th ed., McGraw-Hill, New York, 1960. (1960) MR0114317
  5. Andrea Laforgia, Martin E. Muldoon, Inequalities and approximations for zeros of Bessel functions of small order, SIAM J. Math. Anal. 14 (1983), 383-388. (1983) MR0688582
  6. Andrea Laforgia, Martin E. Muldoon, Monotonicity and Concavity Properties of Bessel functions, J. Math. Anal. and Appl., 98 (1984), 470-477. (1984) MR0730520
  7. Andrea Laforgia, Martin E. Muldoon, Monotonicity properties of zeros of generalized Airy Functions, J. Appl. Math, and Physics (ZAMP) 39 (1988), 267-271. (1988) MR0937702
  8. J. T. Lewis, M. E. Muldoon, Monotonicity and convexity of properties of zeros of Bessel functions, SIAM J. Math. Anal. 8 (1977), 171-178. (1977) MR0437823
  9. Lee Lorch, Donald J. Newman, A supplement to the Sturm separation theorem, with applications, Amer. Math. Monthly 72 (1965), 359-366. (1965) MR0176147
  10. Lee Lorch, Peter Szego, Monotonicity of the differences of zeros of Bessel functions as a function of order, Proc. Amer. Math. Soc. 15 (1964), 91-96. (1964) MR0158106
  11. E. Makai, On zeros of Bessel functions, Univ. Beograd publ. Elektrotechn. Fak. Ser. Mat. fiz. N 602-633 (1978), 109-110. (1978) Zbl0434.33006MR0580430
  12. R. McCann, Inequalities for the zeros of Bessel functions, SIAM J. Math. Anal. 8 (1977) 166-170. (1977) Zbl0548.33004MR0422722
  13. F. W. J. Olver, Royal Society Mathematical Tables, 7, Bessel functions, Part III. Zeros and associated values. The University Press. Cambridge. 1960. (1960) MR0119441
  14. G. N. Watson, A treatise on the theory of Bessel functions, 2nd ed., University Press, Cambridge, 1944. (1944) Zbl0063.08184MR0010746

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