Transcendental continued fractions
β Scribed by Peter Bundschuh
- Publisher
- Elsevier Science
- Year
- 1984
- Tongue
- English
- Weight
- 345 KB
- Volume
- 18
- Category
- Article
- ISSN
- 0022-314X
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
We show some new variations on Tasoev's continued fractions [0; a k , . . . , a k m ] β k=1 , where the periodic parts include the exponentials in k instead of the polynomials in k. We also mention some relations with other kinds of continued fractions, in particular, with Rogers-Ramanujan continued
A matrix continued fraction is defined and used for the approximation of a function F known as a power series in 1Γz with matrix coefficients p\_q, or equivalently by a matrix of functions holomorphic at infinity. It is a generalization of P-fractions, and the sequence of convergents converges to th