On rational De Rham cohomology associated with the generalized airy function
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 4, Tome 24 (1997) no. 2, pp. 351-366. 
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     author = {Kimura, Hironobu},
     title = {On rational {De} {Rham} cohomology associated with the generalized airy function},
     journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
     pages = {351--366},
     publisher = {Scuola normale superiore},
     volume = {Ser. 4, 24},
     number = {2},
     year = {1997},
     mrnumber = {1487959},
     zbl = {0887.33007},
     language = {en},
     url = {http://archive.numdam.org/item/ASNSP_1997_4_24_2_351_0/}
}
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Kimura, Hironobu. On rational De Rham cohomology associated with the generalized airy function. Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 4, Tome 24 (1997) no. 2, pp. 351-366. http://archive.numdam.org/item/ASNSP_1997_4_24_2_351_0/

[A] K. Aomoto, Les équation aux différences linéaires et les intégrales des functions multiformes, J. Fac. Sci. Univ. Tokyo, Sec. IA 22 (1975), 271-297. | Zbl

[AGV] V. Arnold - A. Varchenko - S. Goussein-Zadé, Singularité des applications différentiables, Vol. 1-2, Mir, Moscow, 1986.

[G] Godement, Topologie algébrique et théorie des faisceaux, Herman, Paris, 1958. | Zbl

[GRS] I.M. Gelfand - V.S. Retahk, V.V. Serganova, GeneralizedAiryfunctions, Schubert cells, and Jordan groups, Dokl. Akad. Nauk. SSSR 298 (1988), 17-21; English transl. in Soviet Math. Dokl. 37 (1988), 8-12. | Zbl

[HK] Y. Haraoka - H. Kimura, Contiguity relations of the generalized confluent hypergeometric functions, Proc. Japan Acad. 69 (1993), 105-110. | Zbl

[IKSY] K. Iwasaki - H. Kimura - S. Shimomura - M. Yoshida, From Gauss to Painlevé, Vieweg, Wiesbaden, 1991. | Zbl

[K1] H. Kimura, The degeneration of the two dimensional Garnier system and the polynomial Hamiltonian structure, Ann. Mat. Pura App. 155 (1989), 25-74. | Zbl

[K2] H. Kimura, On rational de Rham cohomology associated with the generalized confluent hypergeometric functions I, P1 case, to appear in Royal Society of Edimburgh. | Zbl

[K3] H. Kimura, On Wronskian determinants of the generalized confluent hypergeometric functions, (1994). preprint.

[KHT1] H. Kimura - Y. Haraoka - K. Takano, The generalized confluent hypergeometric functions, Proc. Japan Acad. 68 (1992), 290-295. | Zbl

[KHT2] H. Kimura - Y. Haraoka - K. Takano, On confluences of the general hypergeometric systems, Proc. Japan Acad. 69 (1993), 99-104. | Zbl

[KHT3] H. Kimura - Y. Haraoka - K. Takano, On contiguity relations of the confluent hypergeometric systems, Proc. Japan Acad. 70 (1994), 47-49. | Zbl

[KK] H. Kimura - T. Koitabashi, Normalizer of maximal abelian subgroups of GL(n) confluent hypergeometric functions, Kumamoto J. Math. 9 (1996), 13-43. | Zbl

[Mac] I.G. Macdonald, Symmetric functions and Hall polynomials, Oxford University Press, Oxford, 1979. | Zbl

[M] H. Matsumura, Commutative algebra, second edition, Benjamin, 1980. | Zbl

[N] M. Noumi, Expansion of the solutions of a Gauss-Manin system at a point of infinity, Tokyo J. Math. 7 (1984), 1-60. | Zbl

[O] K. Okamoto, Isomonodromic deformation and Painlevé equations and the Garnier system, J. Fac. Sci. Univ. Tokyo Sec. IA, Math. 33 (1986), 576-618. | Zbl

[OK] K. Okamoto - H. Kimura, On particular solutions of Garnier systems and the hypergeometric functions of several variables, Quarterly J. Math. 37 (1986), 61-80. | Zbl