# On asymptotic integrations of ${x}^{2}{y}^{\text{'}\text{'}}-P\left(x\right)y=0$

Archivum Mathematicum (1978)

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

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top## How to cite

topHsieh, 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

top- 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
- 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
- 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
- T. Okada, A study of asymptotic solutions of second order linear differential equations, Specialist Project, Western Mich. Univ., 1976, 53 pp. (1976)
- 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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