Combinatorial identities for Stirling numbers : the unpublished notes of H.W. Gould /

"This book is a unique work which provides an in-depth exploration into the mathematical expertise, philosophy, and knowledge of H W Gould. It is written in a style that is accessible to the reader with basic mathematical knowledge, and yet contains material that will be of interest to the spec...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Quaintance, Jocelyn (Autor), Gould, Henry Wadsworth (Autor)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: New Jersey : World Scientific, [2016]
Temas:
Combinatorial analysis.
Mathematical analysis.
Analyse combinatoire.
Analyse mathématique.
MATHEMATICS > Algebra > Intermediate.
Combinatorial analysis
Mathematical analysis
Acceso en línea:Texto completo
Tabla de Contenidos:
  • Basic properties of series
  • The binomial theorem
  • Iterative series
  • Two of Professor Gould's favorite algebraic techniques
  • Vandermonde convolution
  • The nth difference operator and Euler's finite difference theorem
  • Melzak's formula
  • Generalizied derivative formulas
  • Stirling numbers of the second kind s(n, k)
  • Eulerian numbers
  • Worpitzky numbers
  • Stirling numbers of the first kind s(n, k)
  • Explicit formulas for s(n, n
  • k)
  • Number theoretic definitions of Stirling numbers
  • Bernoulli numbers.

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