On asymptotic integrations of x 2 y ' ' - P ( x ) y = 0

Po Fang Hsieh

Archivum Mathematicum (1978)

  • Volume: 014, Issue: 2, page 75-83
  • ISSN: 0044-8753

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Hsieh, Po Fang. "On asymptotic integrations of $x^2y^{\prime \prime }-P(x)y=0$." Archivum Mathematicum 014.2 (1978): 75-83. <http://eudml.org/doc/17967>.

@article{Hsieh1978,
author = {Hsieh, Po Fang},
journal = {Archivum Mathematicum},
keywords = {Asymptotic Integrations; Linear Differential Equations in the Complex Domain; Asymptotic Expansions},
language = {eng},
number = {2},
pages = {75-83},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {On asymptotic integrations of $x^2y^\{\prime \prime \}-P(x)y=0$},
url = {http://eudml.org/doc/17967},
volume = {014},
year = {1978},
}

TY - JOUR
AU - Hsieh, Po Fang
TI - On asymptotic integrations of $x^2y^{\prime \prime }-P(x)y=0$
JO - Archivum Mathematicum
PY - 1978
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 014
IS - 2
SP - 75
EP - 83
LA - eng
KW - Asymptotic Integrations; Linear Differential Equations in the Complex Domain; Asymptotic Expansions
UR - http://eudml.org/doc/17967
ER -

References

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  1. B. L. J. Braaksma, Recessive solutions of linear differential equations with polynomial coefficients, pp. 1-15, Lecture Notes in Math., Vol. 280, Springer, Berlin, 1972. (1972) Zbl0242.34007MR0477226
  2. P. F. Hsieh, Y. Sibuya, On the asymptotic integration of second order linear ordinary differential equations with polynomial coefficients, J. Math. Anal. Appl., 16 (1966), 8-1-103. (1966) Zbl0161.05803MR0200512
  3. F. E. Mullin, On the regular perturbation of the subdominant solution to second order linear ordinary differential equations with polynomial coefficients, Funk. Ekv., 11 (1968), 1-38. (1968) Zbl0266.34052MR0241773
  4. T. Okada, A study of asymptotic solutions of second order linear differential equations, Specialist Project, Western Mich. Univ., 1976, 53 pp. (1976) 
  5. Y. Sibuya, Global Theory of a Second Order Linear Ordinary Differential Equations With a Polynomial Coefficient, Math. Studies 18, North-Holland, 1975, xv + 290. (1975) MR0486867

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