This book gives an introduction to the classical, well-known special functions which play a
role in mathematical physics, especially in boundary value problems. Calculus and complex …

This book explains similarities in asymptotic behavior as the result of two basic properties
shared by the structures: the conditioning relation and the logarithmic condition. The …

Let a double sequence an (k)⩾ 0 be given. We prove a simple theorem on generating
functions which can be used to establish the asymptotic normality of an (k) as a function of k …

Asymptotic enumeration methods provide quantitative information about the rate of growth of
functions that count combinatorial objects. Typical questions that these methods answer …

Graduate students sometimes ask. or fail to ask:" How does one do research in
mathematical statistics? It is a reasonable question because the fruits of research. lectures …

It is shown that various well-known generalizations of Stirling numbers of the first and
second kinds can be unified by starting with transformations between generalized factorials …

Discrete mathematics is an important tool for the investigation of various models of
functioning of technical devices, especially in the field of cybernetics. Here the author …

The work of Harper and subsequent authors has shown that finite sequences (a0,…, an)
arising from combinatorial problems are often such that the polynomialA (z):=∑ nk …

Asymptotic Estimates of Stirling Numbers Page 1 Asymptotic Estimates of Stirling Numbers By
NM Temme New asymptotic estimates are given of the Stirling numbers s~m) and ®~m), of first …

This is primarily a review of combinatorial problems connected with ballot problems, runs,
records, and amalgamation, but numerous new results and applications occur throughout …