Polynomial continued fractions

Acta Arithmetica

Volumn 103, Issue 4, 2002, Pages 329-342

  Bowman, D ^a   Mc Laughlin, J ^a  

^a UNIVERSITY OF ILLINOIS AT URBANA CHAMPAIGN   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0042332044     PISSN: 00651036     EISSN: None     Source Type: Journal    
DOI: 10.4064/aa103-4-3     Document Type: Article

References (10)

1. B. C. Berndt, Ramanujan's Notebook's, Part II, Springer, New York, 1989.
2. G. Chrystal, Algebra, an Elementary Textbook, Part II, 2nd ed., Black/Cambridge Univ. Press, London, 1922.
3. L. Euler, De transformationae serierum in fractiones continuas ubi simul haec theoria non mediocriter amplificatur, in: Omnia Opera, Ser. I, Vol. 15, Teubner, Lipsiae, 1927, 661-700.
4. J. W. L. Glaisher, On the transformation of continued products into continued fractions, Proc. London Math. Soc. 5 (1874), 78-88.
5. W. B. Jones and W. J. Thron, Continued Fractions Analytic Theory and Applications, Addison-Wesley, London, 1980.
6. L. Lorentzen and H. Waadeland, Continued Fractions with Applications, North-Holland, Amsterdam, 1992.
7. O. Perron, Die Lehre von den Kettenbrücken, Teubner, Leipzig, 1913.
8. M. Petkověsk, H. S. Wilf and D. Zeilberger, A = B, A K Peters, Wellesley, MA, 1996.
9. S. Pincherle, Delle funzioni ipergeometriche e di varie questioni ad esse attienti, Giorn. Mat. Battaglini 32 (1894), 209-291.
10. J. Wallis, Arithmetica infinitorum, sive nova methodus inquirendi in curvilineorum quadraturam, aliaque difficiliori matheseos problemata, Oxford, 1665.