continued-fraction transformation

См. также в других словарях:

• Continued fraction of Gauss — In complex analysis, the continued fraction of Gauss is a particular continued fraction derived from the hypergeometric functions. It was one of the first analytic continued fractions known to mathematics, and it can be used to represent several… …   Wikipedia

• Generalized continued fraction — In analysis, a generalized continued fraction is a generalization of regular continued fractions in canonical form in which the partial numerators and the partial denominators can assume arbitrary real or complex values.A generalized continued… …   Wikipedia

• Euler's continued fraction formula — In the analytic theory of continued fractions, Euler s continued fraction formula is an identity connecting a certain very general infinite series with an infinite continued fraction. First published in 1748, it was at first regarded as a simple… …   Wikipedia

• Stieltjes transformation — In mathematics, the Stieltjes transformation S rho;( z ) of a measure of density rho; on a real interval I is the function of the complex variable z defined outside I by the formula:S { ho}(z)=int Ifrac{ ho(t),dt}{z t}.Under certain conditions we …   Wikipedia

• Convergence problem — In the analytic theory of continued fractions, the convergence problem is the determination of conditions on the partial numerators ai and partial denominators bi that are sufficient to guarantee the convergence of the continued fraction This… …   Wikipedia

• Khinchin's constant — In number theory, Aleksandr Yakovlevich Khinchin proved that for almost all real numbers x , the infinitely many denominators a i of the continued fraction expansion of x have an astonishing property: their geometric mean is a constant, known as… …   Wikipedia

• Germany — /jerr meuh nee/, n. a republic in central Europe: after World War II divided into four zones, British, French, U.S., and Soviet, and in 1949 into East Germany and West Germany; East and West Germany were reunited in 1990. 84,068,216; 137,852 sq.… …   Universalium

• japan — japanner, n. /jeuh pan /, n., adj., v., japanned, japanning. n. 1. any of various hard, durable, black varnishes, originally from Japan, for coating wood, metal, or other surfaces. 2. work varnished and figured in the Japanese manner. 3. Japans,… …   Universalium

• Japan — /jeuh pan /, n. 1. a constitutional monarchy on a chain of islands off the E coast of Asia: main islands, Hokkaido, Honshu, Kyushu, and Shikoku. 125,716,637; 141,529 sq. mi. (366,560 sq. km). Cap.: Tokyo. Japanese, Nihon, Nippon. 2. Sea of, the… …   Universalium

• List of mathematics articles (C) — NOTOC C C closed subgroup C minimal theory C normal subgroup C number C semiring C space C symmetry C* algebra C0 semigroup CA group Cabal (set theory) Cabibbo Kobayashi Maskawa matrix Cabinet projection Cable knot Cabri Geometry Cabtaxi number… …   Wikipedia

• Padé table — In complex analysis, a Padé table is an array, possibly of infinite extent, of the rational Padé approximants : R m , n to a given complex formal power series. Certain sequences of approximants lying within a Padé table can often be shown to… …   Wikipedia