Difference between revisions of "Exponential"

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==References==
 
==References==
* {{BookReference|Handbook of mathematical functions|1964|Milton Abramowitz|author2=Irene A. Stegun|prev=findme|next=Logarithm (multivalued) of the exponential}}: 4.2.1.
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* {{BookReference|Handbook of mathematical functions|1964|Milton Abramowitz|author2=Irene A. Stegun|prev=findme|next=Logarithm (multivalued) of the exponential}}: 4.2.1
  
 
[[Category:SpecialFunction]]
 
[[Category:SpecialFunction]]
 
[[Category:Definition]]
 
[[Category:Definition]]

Revision as of 21:01, 6 June 2016

The exponential function $\exp \colon \mathbb{C} \rightarrow \mathbb{C}$ is defined by the formula $$\exp(z) = e^z = \sum_{k=0}^{\infty} \dfrac{z^k}{k!},$$ where $e$ is the base of the natural logarithm.

Properties

Derivative of the exponential function
Taylor series of the exponential function
Exponential in terms of hypergeometric 0F0
Euler E generating function
Continued fraction for 1/sqrt(pi) integral from -infinity to infinity of e^(-t^2)/(z-t) dt

References