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- W2000309263 abstract "The present paper is a continuation of the work initiated in [ l ]-[ 5 ]. In [ 5 ] I gave an expansion of the form for the second order C.F. associated with where U 8 , V 8 , W 8 satisfy a fourth-order recurrence relation, there being a similar expansion for third order C.F.'s. I shall now give simple expressions for U 8 , V 8 , W 8 (or related forms) in terms of χ2s(Z 1 ), χ2s (Z 2 ), ω 2s (Z 1 ), ω 2s (Z 2 ), where and show that there is a remarkable relation between the recurrence formula for the first order C.F. and that satisfied by U 3 , V 3 , W 3 . The generalised form of these results will be stated and proved." @default.
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- W2000309263 date "1958-05-01" @default.
- W2000309263 modified "2023-09-27" @default.
- W2000309263 title "Generalised Algebraic Continued Fractions related to Definite Integrals" @default.
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- W2000309263 doi "https://doi.org/10.1017/s0013091500014085" @default.
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