On functional representation by a certain type of generalized power series
M. A. Bassam (1962)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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M. A. Bassam (1962)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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S. Lachterman (1966)
Studia Mathematica
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M. Takeuchi (1984)
Acta Arithmetica
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L. Carlitz (1968)
Rendiconti del Seminario Matematico della Università di Padova
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Myers, Donald E. (1976)
Portugaliae mathematica
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Sunao Ouchi (1983)
Annales de l'institut Fourier
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Let be a linear partial differential operator with holomorphic coefficients, where and We consider Cauchy problem with holomorphic data We can easily get a formal solution , bu in general it diverges. We show under some conditions that for any sector with the opening less that a constant determined by , there is a function holomorphic except on such that and as in .
Jaroslav Hančl (1996)
Acta Mathematica et Informatica Universitatis Ostraviensis
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