Monotonicity properties of the linear combination of derivatives of some special functions

Zuzana Došlá

Archivum Mathematicum (1985)

  • Volume: 021, Issue: 3, page 147-157
  • ISSN: 0044-8753

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Došlá, Zuzana. "Monotonicity properties of the linear combination of derivatives of some special functions." Archivum Mathematicum 021.3 (1985): 147-157. <http://eudml.org/doc/18164>.

@article{Došlá1985,
author = {Došlá, Zuzana},
journal = {Archivum Mathematicum},
keywords = {Airy functions; monotonicity; cylinder functions},
language = {eng},
number = {3},
pages = {147-157},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {Monotonicity properties of the linear combination of derivatives of some special functions},
url = {http://eudml.org/doc/18164},
volume = {021},
year = {1985},
}

TY - JOUR
AU - Došlá, Zuzana
TI - Monotonicity properties of the linear combination of derivatives of some special functions
JO - Archivum Mathematicum
PY - 1985
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 021
IS - 3
SP - 147
EP - 157
LA - eng
KW - Airy functions; monotonicity; cylinder functions
UR - http://eudml.org/doc/18164
ER -

References

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  1. M. Háčik, Contribution to the monotonicity of the sequence of zero points of integrals of the differential equation y " + q ( t ) y = 0 with regard to the basis [ α , β ] , Arch. Math. (Brno) 8, (1972), 79-83. (1972) Zbl0274.34030MR0326063
  2. E. Pavlíková, Higher monotonicity properties of i-th derivatives of solutions of y " + a y ' + b y = 0 , Acta Univ. Palac. Olom., Math. 73 (1982), 69-77. (1982) Zbl0522.34033MR0702609
  3. S. Staněk J. Vosmanský, Transformations between second order linear differential equations, (to appear). Zbl0644.34029
  4. J. Vosmanský, Certain higher monotonicity properties of i-th derivatives of solutions of y " + a ( t ) y ' + b ( t ) y = 0 , Arch. Math. (Brno) 2 (1974), 87-102. (1974) Zbl0318.34048MR0399578
  5. J. Vosmanský, Certain higher monotonicity properties of Bessel functions, Arch. Math. (Brno) 1 (1977), 55-64. (1977) Zbl0375.33004MR0463571
  6. J. Vosmanský, Some higher monotonicity properties of i-th derivatives of solutions y " + a ( t ) y ' + b ( t ) y = 0 , Ist. mat. U. D., Univ. Firenze, preprint, No. 1972/17. (1972) Zbl0318.34048
  7. D. V. Widder, The Laplace transform, (Princeton University Press, Princeton, 1941). (1941) Zbl0063.08245MR0005923

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