A convergence theorem for limitärperiodisch 𝑇-fractions of rational functions

Hag, Kari

doi:10.1090/S0002-9939-1972-0291421-1

A convergence theorem for limitärperiodisch $T$-fractions of rational functions
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Proc. Amer. Math. Soc. 32 (1972), 491-496 Request permission

Abstract:

We prove that a limitärperiodisch T-fraction, which corresponds to a rational function, converges (locally uniformly) to the original function in a certain domain.

References

Kari Hag, A theorem on $T$-fractions corresponding to a rational function, Proc. Amer. Math. Soc. 25 (1970), 247–253. MR 259081, DOI 10.1090/S0002-9939-1970-0259081-1

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