Multinomial expression line

Integer 0 non-negative as for the multinomial expression line in the mathematics (たこうしきれつ British: polynomial sequence), 1, 2, 3, … によって additional character is the line of the attached multinomial expression and says the thing which is equal to the degree of the multinomial expression that each additional character supports. The multinomial expression line counts it up and, other than a combination theory (English version) and an algebraic combination theory (English version), is one of the held topics of the interest in application mathematics.

Table of contents

Example

Some multinomial expressions line appears as a solution of each differential equation that it is the way it goes in physics and an approximate theory (English version):

• ラゲール multinomial expression system
• Chebyshev polynominal system
• ルジャンドル multinomial expression system
• ゲーゲンバウアー multinomial expression system
• ヤコビ multinomial expression（English version) system

I appear in the statistics:

• L meat multinomial expression system

In addition, it is studied a lot in algebra and the combination theory:

• Monomial expression system
• Rise factorial function system
• Drop factorial function system
• Abel multinomial expression system
• Bell multinomial expression system
• Bernoulli multinomial expression system
• Dixon multinomial expression system
• Fibonacci multinomial expression system
• Lagrange multinomial expression system
• リュカ multinomial expression system
• Spread multinomial expression system
• トゥシャール multinomial expression system
• Rook multinomial expression（English version) system

Kind of the multinomial expression line

• Clause 2 model multinomial expression line
• Orthogonality multinomial expression system
• Second multinomial expression system
• Schaefer line
• スツルム line
• Generalization appel multinomial expression line

Allied item

• Shade calculation

References

• Aigner, Martin. "A course in enumeration", GTM Springer, 2007, ISBN 3-540-39032-4 p21.
• Roman, Steven "The Umbral Calculus", Dover Publications, 2005, ISBN 0-486-44129-3.
• Williamson, S. Gill "Combinatorics for Computer Science", Dover Publications, (2002) p177.

It is acquired by "https://ja.wikipedia.org/w/index.php?title= multinomial expression line &oldid=56985982"

This article is taken from the Japanese Wikipedia Multinomial expression line

This article is distributed by cc-by-sa or GFDL license in accordance with the provisions of Wikipedia.

Wikipedia and Tranpedia does not guarantee the accuracy of this document. See our disclaimer for more information.

In addition, Tranpedia is simply not responsible for any show is only by translating the writings of foreign licenses that are compatible with CC-BY-SA license information.