ЧТО ОЗНАЧАЕТ СЛОВО HYPERGEOMETRIC
Гипергеометрическая функция
В математике гауссовская или обычная гипергеометрическая функция 2F1 представляет собой специальную функцию, представленную гипергеометрическим рядом, включающую многие другие специальные функции как конкретные или предельные случаи. является решением линейного обыкновенного дифференциального уравнения второго порядка. Каждое линейное ОДУ второго порядка с тремя регулярными особыми точками может быть преобразовано в это уравнение. Для систематических списков некоторых из многих тысяч опубликованных тождеств, связанных с гипергеометрической функцией, см. Справочные работы Артура Эрдели, Вильгельма Магнуса и Фрица Оберттингерера и др. , Abramowitz \u0026 amp; Стегун и Даалхуис. Не существует известной системы для организации всех идентичностей; действительно, нет известного алгоритма, который мог бы генерировать все тождества; известно несколько различных алгоритмов, которые генерируют разные серии тождеств. Теория алгоритмического обнаружения тождеств остается активной темой исследования.
Значение слова hypergeometric в словаре английский языка
Определение гипергеометрического словаря относится к операциям или сериям, которые превосходят обычные геометрические операции или ряды.
КНИГИ НА АНГЛИЙСКИЙ ЯЗЫКЕ, ИМЕЮЩЕЕ ОТНОШЕНИЕ К СЛОВУ «HYPERGEOMETRIC»
Поиск случаев использования слова
hypergeometric в следующих библиографических источниках. Книги, относящиеся к слову
hypergeometric, и краткие выдержки из этих книг для получения представления о контексте использования этого слова в литературе на английский языке.
1
Basic
Hypergeometric Series
Chapters 9-11 are new for the second edition, the final chapter containing a simplified version of the main elements of the theta and elliptic hypergeometric series as a natural extension of the single-base q-series.
George Gasper, Mizan Rahman,
2004
2
Hypergeometric Functions and Their Applications
In this book each special function is seen to arise in one or more physical contexts as a solution of a differential equation that can be transformed into a hypergeometric equation.
3
Hypergeometric summation: an algorithmic approach to ...
In this book modern algorithmic techniques for summation, most of which have been introduced within the last decade, are developed and carefully implemented in the computer algebra system Maple.
4
Theory of
Hypergeometric Functions
This book presents a geometric theory of complex analytic integrals representing hypergeometric functions of several variables. It shows that hypergeometric integrals generally satisfy holonomic system of linear differential equations.
Kazuhiko Aomoto, Michitake Kita, Toshitake Kohno,
2011
5
Generalized
hypergeometric functions
Consequently, this book represents a significant further development of the theory and demonstrates how the Boyarksy principle may be given a cohomological interpretation.
6
Hypergeometric Functions on Domains of Positivity, Jack ...
This book is the first set of proceedings to be devoted entirely to the theory of hypergeometric functions defined on domains of positivity.
Donald St. P. Richards,
1992
7
Hypergeometric Functions, My Love: Modular Interpretations ...
The author tells the story casually and visually in a plain language, starting form elementary level such as equivalence relations, the exponential function, ... Undergraduate students should be able to enjoy the text.
8
Hypergeometric Orthogonal Polynomials and Their q-Analogues
The very classical orthogonal polynomials named after Hermite, Laguerre and Jacobi, satisfy many common properties.
Roelof Koekoek, Tom H. Koornwinder, Peter A. Lesky,
2010
9
q-
hypergeometric functions and applications
Good,No Highlights,No Markup,all pages are intact, Slight Shelfwear,may have the corners slightly dented, may have slight color changes/slightly damaged spine.
Almost all of the elementary functions of mathematics are either hypergeometric
or ratios of hypergeometric functions. A series Ec„ is hypergeometric if the ratio c„
+i /c„ is a rational function of n . Many of the nonelementary functions that arise in
...
George E. Andrews, Richard Askey, Ranjan Roy,
2000
НОВОСТИ, В КОТОРЫХ ВСТРЕЧАЕТСЯ ТЕРМИН «HYPERGEOMETRIC»
Здесь показано, как национальная и международная пресса использует термин
hypergeometric в контексте приведенных ниже новостных статей.
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Pass The Dongle, Will You?
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Comparative transcriptome analysis reveals carbohydrate and lipid …
... and invalid values in gray, whereas the P-value was calculated according to a hypothesis test using cumulative hypergeometric distribution. «BMC Blogs Network, Мар 15»
A Pi Day story 26 years in the making
He was giving a presentation on hypergeometric functions. "I had showed some formulas that I thought might be of general interest," he ... «Philly.com, Мар 15»
A comparative study of disease genes and drug targets in the …
To further evaluate the significance of enrichment for disease gene set in target gene set, we performed the hypergeometric test (PubMed ID: ... «BMC Blogs Network, Фев 15»