Inversion of Generating Functions using Determinants

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Title:	Inversion of Generating Functions using Determinants
Authors:	Kwang-Wu Chen 陳光武
Contributors:	臺北市立教育大學數學資訊教育學系
Date:	2007
Issue Date:	2009-08-03 12:54:10 (UTC+8)
Abstract:	In this note, we prove that the coefficients of an ordinary generating function canbe deduced from some determinant formula about the coefficients in the reciprocal ofthe ordinary generating function. We use this result to obtain determinant identitiesfor some well-known numbers.
Relation:	Journal of Integer Sequences, Vol. 10 Iss.10
Appears in Collections:	[Department of Mathematic and Computer Science Education] Periodical Articles

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