
1 confluent hypergeometric series
1) Математика: вырожденный гипергеометрический ряд2) Макаров: конфлюэнтная гипергеометрическая функцияУниверсальный англорусский словарь > confluent hypergeometric series

2 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
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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
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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