Tohoku Mathematical Journal
2000

March
SECOND SERIES VOL. 52, NO. 1

Tohoku Math. J.
52 (2000), 79-94

Title UNE REMARQUE SUR LE PROBLÈME DE CAUCHY POUR L'OPÉRATEUR DIFFÉRENTIEL DE LA PARTIE PRINCIPALE À COEFFICIENTS POLYNOMIAUX

Author Yûsaku Hamada

(Received August 10, 1998)
Abstract. In our preceding article [H2], by applying the results of Bieberbach, Fatou and Picard, we have studied the domain of holomorphy of the solution of the Cauchy problem for the differential operator with coefficients of entire functions. In this article, by employing the results of the modular function and its ordinary differential equation, we give a remark on the domain of holomorphy of the solution of the Cauchy problem for the differential operator of principal part with polynomial coefficients.

[H2] Y. Hamada, Une remarque sur le domaine d'existence de la solution du probleme de Cauchy pour l'operateur differentiel a coefficients des fonctions entieres, Tohoku Math. J. 50 (1998), 133-138.


1991 Mathematics Subject Classification. Primary 35A20; Secondary 34A20.

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