Definitions for superexponential
su·per·ex·po·nen·tial

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1. superexponentialadjective

   Having the properties that (0)=1 and that ()()(+),.

2. Etymology: From ; so called because such a function approximates an exponential function from above.

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1. superexponential

   In mathematics, tetration (or hyper-4) is an operation based on iterated, or repeated, exponentiation. There is no standard notation for tetration, though ↑↑ {\displaystyle \uparrow \uparrow } and the left-exponent xb are common. Under the definition as repeated exponentiation, n a {\displaystyle {^{n}a}} means a a ⋅ ⋅ a {\displaystyle {a^{a^{\cdot ^{\cdot ^{a}}}}}} , where n copies of a are iterated via exponentiation, right-to-left, i.e. the application of exponentiation n − 1 {\displaystyle n-1} times. n is called the "height" of the function, while a is called the "base," analogous to exponentiation. It would be read as "the nth tetration of a". It is the next hyperoperation after exponentiation, but before pentation. The word was coined by Reuben Louis Goodstein from tetra- (four) and iteration. Tetration is also defined recursively as a ↑↑ n := { 1 if n = 0 , a a ↑↑ ( n − 1 ) if n > 0 , {\displaystyle {a\uparrow \uparrow n}:={\begin{cases}1&{\text{if }}n=0,\\a^{a\uparrow \uparrow (n-1)}&{\text{if }}n>0,\end{cases}}} allowing for attempts to extend tetration to non-natural numbers such as real and complex numbers. The two inverses of tetration are called super-root and super-logarithm, analogous to the nth root and the logarithmic functions. None of the three functions are elementary. Tetration is used for the notation of very large numbers.

How to pronounce superexponential?

1. Alex

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Numerology

1. Chaldean Numerology

   The numerical value of superexponential in Chaldean Numerology is: 1

2. Pythagorean Numerology

   The numerical value of superexponential in Pythagorean Numerology is: 7

References

1. ^ Wiktionary
   https://en.wiktionary.org/wiki/Superexponential
2. ^ Wikipedia
   https://en.wikipedia.org/wiki/Superexponential