论文标题
广义超法，超法和基础功能
The Generalized Superfactorial, Hyperfactorial and Primorial functions
论文作者
论文摘要
This paper introduces a new generalized superfactorial function (referable to as $n^{th}$- degree superfactorial: $sf^{(n)}(x)$) and a generalized hyperfactorial function (referable to as $n^{th}$- degree hyperfactorial: $H^{(n)}(x)$), and we show that these functions possess explicit formulae involving figurate numbers.除了讨论其他数字模式外，我们还引入了广义基础函数和2个相关定理。请注意，Sloane and Plouffe（1995）提供的超法定义是考虑的定义（而不是Clifford Pickover（1995）的超法功能：$ n \ $$）。
This paper introduces a new generalized superfactorial function (referable to as $n^{th}$- degree superfactorial: $sf^{(n)}(x)$) and a generalized hyperfactorial function (referable to as $n^{th}$- degree hyperfactorial: $H^{(n)}(x)$), and we show that these functions possess explicit formulae involving figurate numbers. Besides discussing additional number patterns, we also introduce a generalized primorial function and 2 related theorems. Note that the superfactorial definition offered by Sloane and Plouffe (1995) is the definition considered (and not Clifford Pickover's (1995) superfactorial function: $n\$$).
