SOME EXPLICIT CONTINUED-FRACTION EXPANSIONS

被引：8

作者：

FRANCE, MM

VANDERPOORTEN, AJ

机构：

[1] UER de Mathematiques et d'Informatique, Universite Bordeaux I, F-33405, Talence cedex, 351, cours de la Liberation

[2] School of Mathematics, Physics, Computing and Electronics, Macquarie University

来源：

MATHEMATIKA | 1991年 / 38卷 / 75期

基金：

澳大利亚研究理事会;

关键词：

approximation; Continued fractions and generalizations; Diophantine; NUMBER THEORY;

D O I：

10.1112/S0025579300006380

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We determine infinite products in the field of Laurent series with the property that the truncations of the product yield every second continued fraction convergent of the product. We mention some related examples and specialize to obtain numerical results.

引用

页码：1 / 9

页数：9

共 50 条

[1] SOME REMARKS ON NEARNESS PROBLEMS FOR CONTINUED-FRACTION EXPANSIONS
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[J]. LECTURE NOTES IN MATHEMATICS, 1989, 1406 : 116 - 123
[2] SOME REMARKS ON NEARNESS PROBLEMS FOR CONTINUED-FRACTION EXPANSIONS
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[J]. ANALYTIC THEORY OF CONTINUED FRACTIONS III, 1989, 1406 : 116 - 123
[3] A NEW CLASS OF CONTINUED-FRACTION EXPANSIONS
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[J]. ACTA ARITHMETICA, 1991, 57 (01) : 1 - 39
[4] CONTINUED-FRACTION EXPANSIONS AND THE LEGENDRE POLYNOMIALS
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[J]. BULLETIN OF THE LONDON MATHEMATICAL SOCIETY, 1986, 18 : 255 - 260
[5] ON THE PROOF OF CONTINUED-FRACTION EXPANSIONS FOR IRRATIONALS
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[J]. JOURNAL OF NUMBER THEORY, 1986, 23 (01) : 55 - 59
[6] CONGRUENCE PROPERTIES OF THE LENGTHS OF SYMMETRIC CONTINUED-FRACTION EXPANSIONS OF SOME RATIONALS
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[7] CONTINUED-FRACTION EXPANSIONS FOR THE PLASMA DISPERSION FUNCTION
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[J]. JOURNAL OF PLASMA PHYSICS, 1984, 32 (DEC) : 479 - 485
[8] CONTINUED-FRACTION EXPANSIONS FOR RATIOS OF GENERALIZED POLYNOMIALS
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[J]. APPLIED MATHEMATICS AND COMPUTATION, 1980, 6 (03) : 229 - 249
[9] Continued-fraction expansions for the Riemann zeta function and polylogarithms
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[10] NEW ZETA-DOMAIN CONTINUED-FRACTION EXPANSIONS
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[J]. IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS, 1985, 32 (08): : 754 - 758

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