The basic hypergeometric series have many significant applications in several areas of pure and applied mathematics including the theory of partitions, combinatorial identities, number theory, finite vector spaces, Lie theory, mathematical physics and statistics.
Jan 30, 2004
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Basic hypergeometric series and applications/Nathan J. Fine, p. cm ... , q-Series: Their development and application in analysis, number theory, combina-.
In mathematics, basic hypergeometric series, or q-hypergeometric series, are q-analogue generalizations of generalized hypergeometric series.
This paper surveys recent applications of basic hypergeometric functions to partitions, number theory, finite vector spaces, combinatorial identities and ...
The theory of partitions, founded by Euler, has led in a natural way to the idea of basic hypergeometric series, also known as Eulerian series.
Jan 1, 1974 · The application of basic hypergeometric functions to partitions is briefly discussed. It is shown how bilateral basic hypergeometric series ...
Apr 25, 2021 · Hypergeometric functions and series are maybe not taught in pure mathematics courses but they are often taught in more advanced physics courses.
Basic Hypergeometric Series and Applications
Book by Nathan Fine
The theory of partitions, founded by Euler, has led in a natural way to the idea of basic hypergeometric series, also known as Eulerian series. These series were first studied systematically by Heine, but many early results are attributed to... Google Books
Originally published: 1988
Author: Nathan Fine
The basic hypergeometric series have many significant applications in several areas of pure and applied mathematics including the theory of partitions, ...
This paper surveys recent applications of basic hypergeometric functions to partitions, number theory, finite vector spaces, combinatorial identities and ...
In this paper we use some concepts of basic hypergeometric series to give an extremely simple derivation of the exact formula for the expected number of ...
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