The focus is on connections between various kinds of Stirling numbers
, a topic that Gould specializes in, and for which he has developed some unique and valuable techniques.
m](n,k) can be shown to be a kind of generalization of the famous Stirling numbers
of the Second kind S(n, k) when the parameter m equals to 1.
It is interesting to note that there are already classical formulas expressing the Bernoulli number in terms of Stirling numbers
2]-page of the spectral sequence and some Stirling numbers
After preliminaries they cover numerical methods for solving ordinary and partial fractional differential equations, efficient numerical methods, generalized Stirling numbers
and applications, fractional variational principles, continuous-time random walks (CTRW) and fractional diffusion models, and applications of CTRW to finance and economics.
In order to study the deleted Shi and Ish arrangements we will find it convenient to introduce a 'G-analog' of the Stirling numbers
The generalized Stirling numbers
have been considered by Tsylova  and Chelluri et al.
where S (n' k) are stirling numbers
of second kind.
Additional tables are given for Generalized Stirling Numbers
and for the sample size required for occupancy problems in multinomial distributions.
Combinatorics receives a full chapter treatment that extends beyond the combinations and permutations material by delving into non-standard topics such as Latin squares, finite projective planes, balanced incomplete block designs, coding theory, partitions, occupancy problems, Stirling numbers
, Ramsey numbers, and systems of distinct representatives.
Commutation Relations, Normal Ordering, and Stirling Numbers
We defined the generalized 2-associated stirling numbers