Exponential Function - Similar Properties of e and The Function ez

Similar Properties of e and The Function ez

The function ez is not in C(z) (i.e., is not the quotient of two polynomials with complex coefficients).

For n distinct complex numbers {a1,..., an}, the set {ea1z,..., eanz} is linearly independent over C(z).

The function ez is transcendental over C(z).

Read more about this topic:  Exponential Function

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