Higher monotonicity properties of special functions: application on Bessel case | ν | < 1 2

Zuzana Došlá

Commentationes Mathematicae Universitatis Carolinae (1990)

  • Volume: 031, Issue: 2, page 233-241
  • ISSN: 0010-2628

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Došlá, Zuzana. "Higher monotonicity properties of special functions: application on Bessel case $|\nu | < \frac{1}{2}$." Commentationes Mathematicae Universitatis Carolinae 031.2 (1990): 233-241. <http://eudml.org/doc/17841>.

@article{Došlá1990,
author = {Došlá, Zuzana},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {higher monotonicity properties; ultimate monotonicity; Bessel functions},
language = {eng},
number = {2},
pages = {233-241},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Higher monotonicity properties of special functions: application on Bessel case $|\nu | < \frac\{1\}\{2\}$},
url = {http://eudml.org/doc/17841},
volume = {031},
year = {1990},
}

TY - JOUR
AU - Došlá, Zuzana
TI - Higher monotonicity properties of special functions: application on Bessel case $|\nu | < \frac{1}{2}$
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1990
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 031
IS - 2
SP - 233
EP - 241
LA - eng
KW - higher monotonicity properties; ultimate monotonicity; Bessel functions
UR - http://eudml.org/doc/17841
ER -

References

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  1. P. Hartman, On differential equations and the function J μ 2 + Y μ 2 , Amer. J. Math 83 (1961), 154-188. (1961) Zbl0096.27001MR0123039
  2. P. Hartman, On differential equations, Volterra equations and the functions J μ 2 + Y μ 2 , Amer. J. Math 95 (1973), 552-593. (1973) MR0333308
  3. L. Lorch D. J. Neuman, On the composition of completely monotonic functions and completely monotonic sequences and related questions, J. London Math. Soc. (2), 28 (1983), 31-45. (1983) MR0703462
  4. L. Lorch P. 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
  5. L. Lorch P. Szego, Higher monotonicity properties of certain Sturm-Liouville functions, Acta Math. 109 (1963), 55-73. (1963) MR0147695
  6. L. Lorch M. E. Muldoon P. Szego, Higher monotonicity properties of certain Sturm-Liouville functions, III., Canad. J. Math. 22 (1970), 1238-1265. (1970) MR0274845
  7. L. Lorch M. E. Muldoon P. Szego, Higher monotonicity properties of certain Sturm-Liouville functions, IV., Canad. J. Math. 24 (1972), 349-368. (1972) MR0298113
  8. M. E. Muldoon, Higher monotonicity properties of certain Sturm-Liouville functions, Proceedings of the Royal Society of Edinburgh 77A (1977), 23-37. (1977) Zbl0361.34027MR0445033
  9. J. Vosmanský, Monotonic properties of zeros and extremants of the differential equation y " + q ( t ) y = 0 , Arch. Match. (Brno) 6 (1970), 37-74. (1970) MR0296420
  10. J. Vosmanský, Certain higher monotonicity properties of i-th derivatives of solutions of y " + a ( t ) y ' + b ( t ) y = 0 , Arch. Math. (Brno) 10 (1974), 87-102. (1974) MR0399578
  11. D. V. Widder, The Laplace Transform, Princeton Univ. Press 1941. (1941) Zbl0063.08245MR0005923
  12. Z. Došlá M. Háčik M. E. Muldoon, Further higher monotonicity properties of Sturm-Liouville functions, to appear. MR1242631

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