Translation: from english to russian

from russian to english

confluent hypergeometric series

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  • hypergeometric series — noun Any power series such that the ratio of the (k+1) th and the k th terms is a rational function of the natural integer k. See Also: hypergeometric function, hypergeometric equation, confluent hypergeometric series, basic hypergeometric series …   Wiktionary

  • Confluent hypergeometric function — In mathematics, a confluent hypergeometric function is a solution of a confluent hypergeometric equation, which is a degenerate form of a hypergeometric differential equation where two of the three regular singularities merge into an irregular… …   Wikipedia

  • Hypergeometric series — In mathematics, a hypergeometric series is a power series in which the ratios of successive coefficients k is a rational function of k . The series, if convergent, will define a hypergeometric function which may then be defined over a wider… …   Wikipedia

  • Hypergeometric — can refer to various related mathematical topics:*Hypergeometric series, p F q , a power series **Confluent hypergeometric function, 1 F 1, also known as the Kummer function **Euler hypergeometric integral, an integral representation of 2 F 1… …   Wikipedia

  • Recurrence relation — Difference equation redirects here. It is not to be confused with differential equation. In mathematics, a recurrence relation is an equation that recursively defines a sequence, once one or more initial terms are given: each further term of the… …   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

  • 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

  • Meijer G-function — In mathematics, the G function was introduced by Cornelis Simon Meijer (1936) as a very general function intended to include most of the known special functions as particular cases. This was not the only attempt of its kind: the generalized… …   Wikipedia

  • Hermite polynomials — In mathematics, the Hermite polynomials are a classical orthogonal polynomial sequence that arise in probability, such as the Edgeworth series; in combinatorics, as an example of an Appell sequence, obeying the umbral calculus; in numerical… …   Wikipedia

  • Noncentral t-distribution — Noncentral Student s t Probability density function parameters: degrees of freedom noncentrality parameter support …   Wikipedia

  • Coulomb wave function — In mathematics, a Coulomb wave function is a solution of the Coulomb wave equation, named after Charles Augustin de Coulomb. They are used to describe the behavior of charged particles in a Coulomb potential and can be written in terms of… …   Wikipedia


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