: 5. An open problem. : 0. Abstract : 3. The answer to the previous...

4. Related facts.

There is also a very interesting fact of the binomial Theorem that is closely related our results. This fact was found by us, and presented in R. Miyadera and Y. Kotera [1].

Example 7. The expansion of . If we expand , then we will find a beautiful curve.

If we give colours to each binomial coefficient by the same way we used in Example 3, then we get the following picture.

Theorem 2. The shapes of the expansion of divided by n will converge to the graph of the funcion , as .
For proof see Miyadera and Kotera[1].

: 5. An open problem. : 0. Abstract : 3. The answer to the