Combinatorial identities for Stirling numbers : the unpublished notes of H.W. Gould / Jocelyn Quaintance, University of Pennsylvania, USA, H.W. Gould, West Virginia University, USA.
Includes bibliographical references (pages 253-255) and index.
Contents
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.
Local Note
eBooks on EBSCOhost EBSCO eBook Subscription Academic Collection - North America