hypergeometric series oor Koreaans
hypergeometric series
en
(mathematics) 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 .
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power series
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For far too long, there has been a dearth of good references on basic hypergeometric series.
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Ramanujan independently discovered results of Gauss , Kummer and others on hypergeometric series.
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He extended Gauss 's work on hypergeometric series, giving developments that are useful in the theory of differential equations .
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He published a paper on hypergeometric series in Crelle's Journal in 1836 and he sent a copy of the paper to Jacobi .
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We became somewhat diverted while looking at Fine's text Basic hypergeometric series and applications when we began to look at Andrews' Introduction.
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He continued his mathematical work, however, and at this time he worked on hypergeometric series and investigated relations between integrals and series.
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This is a very personal book, a distillation of those results in basic hypergeometric series which hold the most appeal to its author.
본 발명의 일 실시예에 따른 이차 전지용 음극 활물질의 제조 장치는, 특정 주파수 범위의 전자파를 발진하는 전자파 발진기; 상기 전자파 및 플라즈마 발생가스로부터 플라즈마를 발생시키는 방전관; 상기 방전관의 내부로 상기 플라즈마 발생가스를 공급하는 제 1 가스 공급부; 상기 방전관의 내부에서 발생된 플라즈마에 실리콘 전구체를 공급하는 실리콘 공급부; 상기 실리콘 전구체 및 반응 가스 간의 화학 반응에 의하여 SiOx계(0ParaCrawl Corpus ParaCrawl Corpus
The present book and Basic hypergeometric series by G Gasper and M Rahman have appeared in the past two years to greatly rectify this situation.
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He is perhaps best known for his book Basic hypergeometric series and applications published in the Mathematical Surveys and Monographs Series of the American Mathematical Society .
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Fine was at that time engaged in his own special development of q-hypergeometric series, and as the years passed he kept adding to his results and polishing his presentation.
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In answering the problem of when Gauss 's hypergeometric series was an algebraic function Schwarz, as he had done so many times, developed a method which would lead to much more general results.
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His work is important in the development of the theory of functions, in particular having applications in the theory of hypergeometric series and differential equations . Other topics Sokhotsky studied included Zolotarev 's theory of divisibility of algebraic numbers .
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Rogers is now remembered for a remarkable set of identities which are special cases of results which he had published in 1894. Such names as Rogers- Ramanujan identities, Rogers- Ramanujan continued fractions and Rogers transformations are known in the theory of partitions, combinatorics and hypergeometric series.
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For example he expanded hypergeometric functions in series of Laguerre and Hermite polynomials.
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He applied this technique systematically in a long series of papers to the study of the gamma function , hypergeometric functions , Dirichlet series, the Riemann zeta function and related number-theoretic functions.
과학, 항해, 측량, 사진, 영화, 광학, 계량, 측정, 신호, 검사 (감시), 구명 및 교육용 기기ParaCrawl Corpus ParaCrawl Corpus
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