Umbral Calculus的封面
书籍主题:

Umbral Calculus

Umbral Calculus, Sheffer Sequences, Extension of Umbral calculus, Generalized Umbral calculus, q-Umbral Calculus

LAP LAMBERT Academic Publishing (2012-02-15 )

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ISBN-13:

978-3-8484-0445-2

ISBN-10:
3848404451
EAN:
9783848404452
书籍语言:
英文
作品简介:
The theory of binomial enumeration is variously called the calculus of finite differences or the Umbral calculus. This theory studies the analogies between various sequences of polynomials pn and the powers sequence xn. The subscript n in pn was thought of as the shadow (“Umbra” means “Shadow” in Latin, whence the name umbral calculus) of the subscript n in xn, and many parallels were discovered between such sequences.At the very outset a brief explanation of the term modern umbral calculus is given. A large part of applied analysis is concerned with the study of certain sequences of special polynomials. Some of the most important of these sequences are associated with the names of Jacobi, Gegenbauer, Legendre, Chebyshev, Bessel, Laguerre, Hermite and Bernoulli. All of these sequences and many more, fall into a special class. Boas and Buck, in their work on polynomial expansions of analytic functions, used the term sequence of generalized Appell type for members of this class.
出版社 :
LAP LAMBERT Academic Publishing
网址:
https://www.lap-publishing.com/
由(作者):
Nisar K. S.
页码 :
140
发表日期:
2012-02-15
现货:
备有现货
类别:
数学
价格:
79.00 €
关键词:
Umbral Calculus, Sheffer Sequences, Extension of Umbral Calculus, Generalized Umbral calculus, q-umbral calculus

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