By Christopher Baltus, William B. Jones (auth.), Wolfgang J. Thron (eds.)

ISBN-10: 3540167684

ISBN-13: 9783540167686

**Read or Download Analytic Theory of Continued Fractions II: Proceedings of a Seminar-Workshop held in Pitlochry and Aviemore, Scotland June 13–29, 1985 PDF**

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**Additional info for Analytic Theory of Continued Fractions II: Proceedings of a Seminar-Workshop held in Pitlochry and Aviemore, Scotland June 13–29, 1985**

**Example text**

Soc. 176 (1973), 4 7 9 - 4 8 7 . 1105 (1984), of Continued Transformations, Fractions, to O n the C o n v e r g e n c e where a n ~ -1/4, Trans. appear in in Math of L i m i t P e r i o d i c Lecture Notes in 243-248. 5. Jacobsen, L. and Periodic Continued 6. Jones, W. B. and Thron, Theorv and Applications, Addison-Wesley, 1980. 7, Perron, Teubner, 8. -B. Bayer. 9. Thron, W. Fractions, i0. T h r o n , W. J. , A c c e l e r a t i n g Convergence of L i m i t Periodic Continued Fractions K(an/l), Numer.

W W for E is a value If Let of E n £ w E W, then Sn(W) £ W. results. be a pre-value re@ion for the set E Then W with for E. G ~ E E ~ ~. is a limit re@ion be an open connected subset of a bounded p r e - v a l u e re ion G region in many cases a severe restriction. contain at least two points. 2. conditions is E/(I+W) ~ W, We shall prove the following Theor@m E; that regions can be regarded as value regions for m o d i f i e d Sn(W) for continued for introduced by Thron Please observe Such pre-value W for Let E.

Jones, W. B. and Thron, Theorv and Applications, Addison-Wesley, 1980. 7, Perron, Teubner, 8. -B. Bayer. 9. Thron, W. Fractions, i0. T h r o n , W. J. , A c c e l e r a t i n g Convergence of L i m i t Periodic Continued Fractions K(an/l), Numer. Math. 34 (1980), 11. , (1984), 57-64. , Die 1957. , Even and to a p p e a r in J. Odd Parts CAM. of Limit W. , Continued Fractions: Analytic Encyclopedia of Math. , Uber die Konvergenz unendlicher A k a d . W i s s . M a t h . - Nat. K!. , On Parabolic Math.