Bookcover of Umbral Calculus
Booktitle:

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
Book language:
English
Blurb/Shorttext:
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.
Publishing house:
LAP LAMBERT Academic Publishing
Website:
https://www.lap-publishing.com/
By (author) :
Nisar K. S.
Number of pages:
140
Published at:
2012-02-15
Stock:
Available
Category:
Mathematics
Price:
79.00 €
Keywords:
Umbral Calculus, Sheffer Sequences, Extension of Umbral Calculus, Generalized Umbral calculus, q-umbral calculus

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