We develop the concept of partition categories, in order to extend the Mullin-Rota theory of binomial enumeration, and simultaneously to provide a natural setting for recent applications of the ...

Description: Such topics as polynomial functions and equations, exponential and logarithmic functions, determinants, systems of equations and inequalities, mathematical induction, the binomial theorem ...

I observed an Algebra class recently where students were trying to multiply two polynomials, (x + 5) and (3x 2 - 5x - 4). And as I roamed the room, I noticed several students who were stuck because ...

Jason I. Brown, Karl Dilcher, and Dante V. Manna, On a sequence of sparse binomial-type polynomials. J. Math. Anal. Appl. 398 (2013), no. 1, 128-137. Takashi Agoh and Karl Dilcher, Convolution and ...