Consider iterations of exponentials of a fixed height. Also called growth.

For instance semi-exponentials.

In algebra the main thing is Sum and product.

Kinda.

When we consider asymptotics i call it pseudoalgebra.

So for semiexp we get the natural questions such as

The best fit ( given by the symbol = )

Where y is the value we seek and x > 1.

This is - for clarity - an asymptotic equation for bases ( 2,3,5,y).

It reminds me of base change and others.

How about these ?

How to find such identities ?

Regards

Tommy1729

For instance semi-exponentials.

In algebra the main thing is Sum and product.

Kinda.

When we consider asymptotics i call it pseudoalgebra.

So for semiexp we get the natural questions such as

The best fit ( given by the symbol = )

Where y is the value we seek and x > 1.

This is - for clarity - an asymptotic equation for bases ( 2,3,5,y).

It reminds me of base change and others.

How about these ?

How to find such identities ?

Regards

Tommy1729