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

Auteur: Nisar K S
Taal: Engels
Umbral Calculus
  • Engels
  • Paperback
  • 9783848404452
  • april 2012
  • 140 pagina's
Alle productspecificaties

Samenvatting

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.

Productspecificaties

Inhoud

Taal
Engels
Bindwijze
Paperback
Verschijningsdatum
2012-04-30
Aantal pagina's
140 pagina's
Illustraties
Nee

Betrokkenen

Auteur
Nisar K S Nisar K. S.
Co-auteur
Nisar K. S.
Uitgever
Lap Lambert Academic Publishing

EAN

EAN
9783848404452

Overige kenmerken

Extra groot lettertype
Nee
NUR code
918
Oorspronkelijke releasedatum
2012-04-30
Subtitel
Umbral Calculus, Sheffer Sequences, Extension of Umbral calculus, Generalized Umbral calculus, q-Umbral Calculus
Thema Subject Code
PB

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