Temat: continued fractions - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Artykuł

Skocz do pozycji: 2.

Tytuł:: Leaping convergents of Tasoev continued fractions
Autorzy:: Komatsu, Takao
Powiązania:: https://bibliotekanauki.pl/articles/728958.pdf
Data publikacji:: 2011
Wydawca:: Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:: leaping convergents
Tasoev continued fractions
Opis:: Denote the n-th convergent of the continued fraction by pₙ/qₙ = [a₀;a₁,...,aₙ]. We give some explicit forms of leaping convergents of Tasoev continued fractions. For instance, [0;ua,ua²,ua³,...] is one of the typical types of Tasoev continued fractions. Leaping convergents are of the form $p_{rn+i}/q_{rn+i}$ (n=0,1,2,...) for fixed integers r ≥ 2 and 0 ≤ i ≤ r-1.
Źródło:: Discussiones Mathematicae - General Algebra and Applications; 2011, 31, 2; 201-216
1509-9415
Pojawia się w:: Discussiones Mathematicae - General Algebra and Applications
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 3.

Tytuł:: Leaping convergents of Hurwitz continued fractions
Autorzy:: Komatsu, Takao
Powiązania:: https://bibliotekanauki.pl/articles/729011.pdf
Data publikacji:: 2011
Wydawca:: Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:: Leaping convergents
Hurwitz continued fractions
Opis:: Let pₙ/qₙ = [a₀;a₁,...,aₙ] be the n-th convergent of the continued fraction expansion of [a₀;a₁,a₂,...]. Leaping convergents are those of every r-th convergent $p_{rn+i}/q_{rn+i}$ (n = 0,1,2,...) for fixed integers r and i with r ≥ 2 and i = 0,1,...,r-1. The leaping convergents for the e-type Hurwitz continued fractions have been studied. In special, recurrence relations and explicit forms of such leaping convergents have been treated. In this paper, we consider recurrence relations and explicit forms of the leaping convergents for some different types of Hurwitz continued fractions.
Źródło:: Discussiones Mathematicae - General Algebra and Applications; 2011, 31, 1; 101-121
1509-9415
Pojawia się w:: Discussiones Mathematicae - General Algebra and Applications
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 4.

Tytuł:: 'The mother of all continued fractions'
Autorzy:: Dajani, Karma
Kraaikamp, Cor
Powiązania:: https://bibliotekanauki.pl/articles/965726.pdf
Data publikacji:: 2000
Wydawca:: Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:: insertion
ergodic theory
continued fractions
singularization
Opis:: We give the relationship between regular continued fractions and Lehner fractions, using a procedure known as insertion}. Starting from the regular continued fraction expansion of any real irrational x, when the maximal number of insertions is applied one obtains the Lehner fraction of x. Insertions (and singularizations) show how these (and other) continued fraction expansions are related. We also investigate the relation between Lehner fractions and the Farey expansion (also known as the full continued fraction), and obtain the ergodic system underlying the Farey expansion.
Źródło:: Colloquium Mathematicum; 2000, 84/85, 1; 109-123
0010-1354
Pojawia się w:: Colloquium Mathematicum
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 5.

Tytuł:: Continued fractions of Laurent series with partial quotients from a given set
Autorzy:: Lauder, Alan
Powiązania:: https://bibliotekanauki.pl/articles/1390477.pdf
Data publikacji:: 1999
Wydawca:: Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:: continued fractions
finite fields
Laurent series
linear complexity profiles
sequences
Źródło:: Acta Arithmetica; 1999, 90, 3; 251-271
0065-1036
Pojawia się w:: Acta Arithmetica
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 6.

Tytuł:: On block recursions, Askeys sieved Jacobi polynomials and two related systems
Autorzy:: Aldana, Bernarda
Charris, Jairo
Mora-Valbuena, Oriol
Powiązania:: https://bibliotekanauki.pl/articles/966096.pdf
Data publikacji:: 1998
Wydawca:: Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:: continued fractions
moment functionals
Askey-Wilson and Rogers polynomials
Chebyshev
sieved orthogonal polynomials
orthogonal polynomials
Jacobi and ultraspherical polynomials
Opis:: Two systems of sieved Jacobi polynomials introduced by R. Askey are considered. Their orthogonality measures are determined via the theory of blocks of recurrence relations, circumventing any resort to properties of the Askey-Wilson polynomials. The connection with polynomial mappings is examined. Some naturally related systems are also dealt with and a simple procedure to compute their orthogonality measures is devised which seems to be applicable in many other instances.
Źródło:: Colloquium Mathematicum; 1998, 78, 1; 57-91
0010-1354
Pojawia się w:: Colloquium Mathematicum
Dostawca treści:: Biblioteka Nauki

Artykuł

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