## Pacific Journal of Mathematics

### Dependence of differential equations upon parameters in their Stokes' multipliers.

Werner Balser

#### Article information

Source
Pacific J. Math., Volume 149, Number 2 (1991), 211-229.

Dates
First available in Project Euclid: 8 December 2004

https://projecteuclid.org/euclid.pjm/1102644461

Mathematical Reviews number (MathSciNet)
MR1105696

Zentralblatt MATH identifier
0725.34008

Subjects
Primary: 34A20

#### Citation

Balser, Werner. Dependence of differential equations upon parameters in their Stokes' multipliers. Pacific J. Math. 149 (1991), no. 2, 211--229. https://projecteuclid.org/euclid.pjm/1102644461

#### References

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• [2] W. Balser, Convergent power series expansions for the Birkhoff invariants of meromorphic differential equations', Part I: Definition of the coefficientfunctions, Yokohama Math. J., 32 (1984), 15-29. Part II:A closerstudy of thecoefficients, Yokohama Math. J., 33 (1985), 7-19.
• [3] W. Balser, Growth estimates for the coefficientsof generalizedformal solutions, and representation of solutions using Laplace integrals and factorial series, Hirosh. Math. J., 12(1982), 11-42.
• [4] W. Balser,Meromorphic transformation to Birkhoff standardform in dimension three, J. Fac. Sc. Univ. Tokyo, 36 (1989), 233-246.
• [5] W. B. Jurkat, D. A. Lutz, and A. Peyerimhoff, Birkhoff invariants and effective calculationsfor meromorphic linear differential equations', Part I: J. Math. Anal. Appl., 53 (1976), 438-470. Part II: Houston J. Math., 2 (1976), 207-238.
• [6] W. B. Jurkat, MeromorpheDifferentalgleichungen, Lecture Notes in Math., 637 (1978) (entire volume).
• [7] Y. Sibuya, Linear Differential Equations in the Complex Domain-,Problems of Analytic Continuation (in Japanese) Kinokuniya, Tokyo.