Hermite-padé approximations to exponential functions and elementary estimates of the measure of irrationality of π-Reference-Cited by-同舟云学术

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Hermite-padé approximations to exponential functions and elementary estimates of the measure of irrationality of π

Published:1982 Issue: Volume: Page:299-322
ISSN:0075-8434
Container-title:Lecture Notes in Mathematics
language:
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Author:

Chudnovsky G. V.

Publisher

Springer Berlin Heidelberg

Link

http://link.springer.com/content/pdf/10.1007/BFb0093516

Reference9 articles.

1. K. Mahler, Lectures on transcendental numbers, Lecture Notes in Math., v. 546, Springer, 1976.

2. Ch. Hermite, Oeuvres, v. 3, Gauthier-Villars, Paris, 1917.

3. G.V. Chudnovsky, C.R. Acad. Sci. Paris, Series A, v. 288 (1979), A–965–A–967.

4. G.V. Chudnovsky, Lecture Notes in Math., v. 751, 1979, pp. 45–69.

5. L. Euler, Mémories de l'Académie Imperiale des sciences de St. Petersborg, v. 6 (prepared in March 1737, published in 1744).

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1. About the convergence rate Hermite – Pade approximants of exponential functions;Izvestia of Saratov University. New Series. Series: Mathematics. Mechanics. Informatics;2021-05-25

2. The irrationality measure of π is at most 7.103205334137…;Moscow Journal of Combinatorics and Number Theory;2020-11-05

3. On some properties of Hermite–Padé approximants to an exponential system;Proceedings of the Steklov Institute of Mathematics;2017-08

4. Asymptotics of diagonal Hermite–Padé polynomials for the collection of exponential functions;Mathematical Notes;2017-07

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