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Title: Monotonicity properties of the linear combination of derivatives of some special functions (English)
Author: Došlá-Tesařová, Zuzana
Language: English
Journal: Archivum Mathematicum
ISSN: 0044-8753 (print)
ISSN: 1212-5059 (online)
Volume: 21
Issue: 3
Year: 1985
Pages: 147-157
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Category: math
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MSC: 33C10
MSC: 34C10
idZBL: Zbl 0596.33009
idMR: MR833125
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Date available: 2008-06-06T06:14:56Z
Last updated: 2012-05-09
Stable URL: http://hdl.handle.net/10338.dmlcz/107227
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Reference: [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 $[\alpha,\beta]$.Arch. Math. (Brno) 8, (1972), 79-83. MR 0326063
Reference: [2] E. Pavlíková: Higher monotonicity properties of i-th derivatives of solutions of $y" + ay' + by = 0$.Acta Univ. Palac. Olom., Math. 73 (1982), 69-77. MR 0702609
Reference: [3] S. Staněk J. Vosmanský: Transformations between second order linear differential equations.(to appear).
Reference: [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. MR 0399578
Reference: [5] J. Vosmanský: Certain higher monotonicity properties of Bessel functions.Arch. Math. (Brno) 1 (1977), 55-64. MR 0463571
Reference: [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.
Reference: [7] D. V. Widder: The Laplace transform.(Princeton University Press, Princeton, 1941). Zbl 0063.08245, MR 0005923
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