SOME IDENTITIES FOR G-CONTINUED FRACTIONS AND GENERALIZED CONTINUED FRACTIONS

[摘要] In this paper we use the invariance property of generalized linear fractional transformations to derive some useful identities for generalized continued fractions and G-continued fractions, two types of generalizations of ordinary continued fractions associated with higher-order recurrence relations. Furthermore, the relationship between these two kinds of continued fractions is discussed.

[发布日期] 1994-05-30

[关键词] GENERALIZED LINEAR FRACTIONAL TRANSFORMATION;GENERALIZED CONTINUED FRACTION;N-FRACTION;G-CONTINUED FRACTION