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- Robert P. Boyer, William M. Y. Goh
- Adv. Appl. Math.
- 2004

We study the limiting behavior of the zeros of the Euler polynomials. When linearly scaled, they approach a definite curve in the complex plane related to the Szego curve which governs the behavior… (More)

- Robert P. Boyer, Linda C. Thiel
- Adv. Appl. Math.
- 2002

We begin by classifying all solutions of two natural recurrences that Bernstein polynomials satisfy. The first scheme gives a natural characterization of Stancu polynomials. In Section 2, we identify… (More)

Let $F_n(x)$ be the partition polynomial $\sum_{k=1}^n p_k(n) x^k$ where $p_k(n)$ is the number of partitions of $n$ with $k$ parts. We emphasize the computational experiments using degrees up to… (More)

- Robert P. Boyer
- 1980

We find that a wide variety of families of partition statistics sta- bilize in a fashion similar to pk(n), the number of partitions of n with k parts, which satisfies pk(n) = pk+1(n + 1), kn/2. We… (More)

- Robert P. Boyer
- 1979

- Robert P. Boyer
- 1988

Let pn be the number of partitions of an integer n. For each of the partition statistics of counting their parts, ranks, or cranks, there is a natural family of integer polynomials. We investigate… (More)

Increased day-trading activity and the subsequent jump in intraday volatility and trading volume fluctuations has raised considerable interest in models for financial market microstructure. We… (More)

- Robert P. Boyer
- 1988