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On Holomorphic Perturbations of Infinite Order Differential Equations
Author(s) -
Vidras Alekos
Publication year - 1997
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.19971870113
Subject(s) - holomorphic function , mathematics , order (exchange) , differential equation , mathematical analysis , differential (mechanical device) , pure mathematics , physics , finance , economics , thermodynamics
It is proven in the present article that the solutions of infinite order differential equation with holomorphic parameter w ∈ U ⊂ ℂ depend holomorphically on w in the neighborhood of characteristic points of certain directions.