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

ISBN-10: 3540167684

ISBN-13: 9783540167686

ISBN-10: 3540388176

ISBN-13: 9783540388173

**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**

**Sample text**

Clement, Arne Magnus and J. n o n - n o r m a l two-polnt Pad& table", submitted. 3. , Olav NJ&stad and Fractions and Strong H a m b u r g e r Moment Math. Soc. (3), 4? (1983), 363-384. 4. Jones, W i l l i a m B. and W. J. , Loen, Norway, 1981, L e c t u r e Notes in M a t h e m a t i c s 932 (Springer, Berlin, 1982), 4-37. 5. Jones, W i l l i a m B. and W. J. Thron, "Orthogonal Laurent P o l y n o m i a l s and the S t r o n g H a m b u r g e r Moment Problem", J. Math. Anal. ADD1. ( 2 ) , 98 ( 1 9 8 4 ) , 5 2 8 - 5 5 4 .

1]. (z)) = o ( z n + k ) . yields B n , k ( Z ) A 'n , k (z) - B ~ , k ( Z ) A n , k ( Z ) = O(z n+k) Similarly, Bn,k(Z)A'n,k(Z) - B~,k(Z)An,k(Z) = O_(zn+k-l). Therefore, Bn,k(Z)A~,k(Z ) - B~,k(Z)An,k(Z) which implies that M n , k ( Z ) The M - t a b l e the s q u a r e acquainted inherited THEOREM M-table. with ~f ~ 0 since Bn,k(Z)B~,k(Z) as g i v e n by D e f i n i t i o n block structure the a of e q u a l original by the " e x p a n d e d " 6. = M~,k(Z) rational 3 was shown entries which table [i].

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. Zeitschr. 69 Convergence Regions (1958), 1 7 3 - 1 8 2 . II, B. G. Kettenbruche, 295-324. for Continued 155-170. Tales about Tails, Proc. Amer. Math. Soc. 90 O N SIMPLE C O N V E R G E N C E R E G I O N S FOR C O N T I N U E D F R A C T I O N S K(an/1) A THEOREM Lisa J a c o b s e n D e p a r t m e n t of M a t h e m a t i c s and S t a t i s t i c s The U n i v e r s i t y of T r o n d h e i m AVH N-7055 Dragvoll, Norway I.

### Analytic Theory of Continued Fractions II: Proceedings of a Seminar-Workshop held in Pitlochry and Aviemore, Scotland June 13–29, 1985 by Christopher Baltus, William B. Jones (auth.), Wolfgang J. Thron (eds.)

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