Bulletin of the American Mathematical Society

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Book Information:

Author: Einar Hille
Title: Ordinary differential equations in the complex domain
Additional book information: Pure and Applied Mathematics Series, John Wiley & Sons, New York, 1976, xi + 484 pp., $27.95.

Einar Hille, Ordinary differential equations in the complex domain, Pure and Applied Mathematics, Wiley-Interscience [John Wiley & Sons], New York-London-Sydney, 1976. MR 0499382

Egbert Brieskorn, Die Monodromie der isolierten Singularitäten von Hyperflächen, Manuscripta Math. 2 (1970), 103–161 (German, with English summary). MR 267607, DOI 10.1007/BF01155695

E. Brieskorn, Singularitäten, Jber. Deutsch. Math.-Verein. 78 (1976/77), no. 2, 93–112. MR 430301

Pierre Deligne, Équations différentielles à points singuliers réguliers, Lecture Notes in Mathematics, Vol. 163, Springer-Verlag, Berlin-New York, 1970 (French). MR 0417174

R. Gerard, Geometric theory of differential equations in the complex domain, Complex analysis and its applications (Lectures, Internat. Sem., Trieste, 1975) Internat. Atomic Energy Agency, Vienna, 1976, pp. 269–308. MR 0488082

R. Gérard and A. H. M. Levelt, Sur les connextions à singularités régulières dans le cas de plusieurs variables, Funkcial. Ekvac. 19 (1976), no. 2, 149–173 (French). MR 460327

Raymond Gérard and Yasutaka Sibuya, Étude de certains systèmes de Pfaff au voisinage d’une singularité, C. R. Acad. Sci. Paris Sér. A-B 284 (1977), no. 1, A57–A60. MR 428350

Phillip A. Griffiths, Periods of integrals on algebraic manifolds: Summary of main results and discussion of open problems, Bull. Amer. Math. Soc. 76 (1970), 228–296. MR 258824, DOI 10.1090/S0002-9904-1970-12444-2

Dennis A. Hejhal, Monodromy groups and linearly polymorphic functions, Acta Math. 135 (1975), no. 1, 1–55. MR 463429, DOI 10.1007/BF02392015

Masuo Fukuhara and Saburo Ohashi, On a $P$-function expressible by elementary functions, Sūgaku 8 (1956/57), 27–29 (Japanese). MR 98205

Nicholas M. Katz, Nilpotent connections and the monodromy theorem: Applications of a result of Turrittin, Inst. Hautes Études Sci. Publ. Math. 39 (1970), 175–232. MR 291177

Nicholas M. Katz, The regularity theorem in algebraic geometry, Actes du Congrès International des Mathématiciens (Nice, 1970) Gauthier-Villars, Paris, 1971, pp. 437–443. MR 0472822

Tosihusa Kimura, On Riemann’s equations which are solvable by quadratures, Funkcial. Ekvac. 12 (1969/70), 269–281. MR 277789

Bernard Malgrange, Intégrales asymptotiques et monodromie, Ann. Sci. École Norm. Sup. (4) 7 (1974), 405–430 (1975) (French). MR 372243

Paul Painlevé, Oeuvres de Paul Painlevé. Tome I, Éditions du Centre National de la Recherche Scientifique, Paris, 1973 (French). Preface by René Garnier; Compiled by Raymond Gérard, Georges Reeb and Antoinette Sec. MR 0532682

E. G. C. Poole, Introduction to the theory of linear differential equations, Dover Publications, Inc., New York, 1960. MR 0111886

N. S. Hawley and M. Schiffer, Half-order differentials on Riemann surfaces, Acta Math. 115 (1966), 199–236. MR 190326, DOI 10.1007/BF02392208

Kyoichi Takano and Eiichi Bannai, A global study of Jordan-Pochhammer differential equations, Funkcial. Ekvac. 19 (1976), no. 1, 85–99. MR 422734

Masaaki Yoshida and Kyoichi Takano, On a linear system of Pfaffian equations with regular singular points, Funkcial. Ekvac. 19 (1976), no. 2, 175–189. MR 436189

0.

E. Hille, Ordinary differential equations in the complex domain, Wiley, New York, 1976. MR 0499382

1.

E. Brieskorn, Die Monodromie der isolierten Singularitäten von Hyperflächen, Manuscripta Math. 2 (1970), 103-161. MR 42 #2509. MR 267607

2.

E. Brieskorn, Singularitäten, Jber. Deutsch. Math.-Verein. 78 (1976), 93-112. MR 430301

3.

P. Deligne, Equations différentielles à points singuliers réguliers, Lecture Notes in Math., vol. 163, Springer, Berlin, 1970. MR 417174

4.

R. Gérard, Geometric theory of differential equations in the complex domain. Internat. Atomic Energy Agency, Vienna, 1976, pp. 269-308. MR 488082

5.

R. Gérard and A. H. M. Levelt, Sur les connexions à singularités régulières dans le cas de plusieurs variables, Funkcial. Ekvac. 19 (1976), 149-173. MR 460327

6.

R. Gérard and Y. Sibuya, Etude de certains systèms de Pfaff au voisinage d'une singularité, C. R. Acad. Sci. Paris 284 (1977), 57-60. MR 428350

7.

Ph. A. Griffiths, Periods of integrals on algebraic manifolds: Summary of main results and discussion of open problems, Bull. Amer. Math. Soc. 76 (1970), 228-296. MR 41 #3470. MR 258824

8.

D. A. Hejhal, Monodromy groups and linearly polymorphic functions, Acta Math. 135 (1975), 1-55. MR 463429

9.

M. Hukuhara and S. Ohashi, On a P-function expressible by elementary functions, Sûgaku 2 (1950), 227-230; ibid. 8 (1956/57), 27-29. (Japanese) MR 20 #4667. MR 98205

10.

N. M. Katz, Nilpotent connections and the monodromy theorem: Applications of a result of Turrittin, Inst. Hautes Études Sci. Publ. Math. No. 39 (1970), 175-232. MR 45 #271. MR 291177

11.

N. M. Katz, The regularity theorem in algebraic geometry, Internat. Congress Math. (Nice, 1970), 1, pp. 437-443. MR 472822

12.

Tosihusa Kimura, On Riemann's equations which are solvable by quadratures, Funkcial. Ekvac. 12 (1969/70), 269-281. MR 43 #3522. MR 277789

13.

B. Malgrange, Intégrales asymptotiques et monodromie, Ann. Sci. École Norm. Sup. (4) 7 (1974), 405-430. MR 51 #8459. MR 372243

14.

P. Painlevé, Oeuvres de Paul Painlevé 1, 2, 3, Centre National de la Recherche Scientifique, France, 1975. MR 532684

15.

E. G. C. Poole, Introduction to the theory of linear differential equations, Dover, New York, 1960. MR 22 #2746. MR 111886

16.

M. Schiffer and N. S. Hawley, Half-order differentials on Riemann surfaces, Acta Math. 115 (1966), 199-236. MR 32 #7739. MR 190326

17.

K. Takano and E. Bannai, A global study of Jordan-Pochhammer differential equations, Funkcial. Ekvac. 19 (1976), 85-99. MR 422734

18.

M. Yoshida and K. Takano, On a linear system of Pfaffian equations with regular singular points, Funkcial. Ekvac. 19 (1976), 175-189. MR 436189