E(1,1)(z)=exp(z)
From specialfunctionswiki
Revision as of 21:24, 2 January 2018 by Tom (talk | contribs) (Created page with "==Theorem== The following formula holds: $$E_{1,1}(z)=e^z,$$ where $E_{1,1}$ denotes the Mittag-Leffler function and $e^z$ denotes the exponential. ==Proof== ==Refer...")
Theorem
The following formula holds: $$E_{1,1}(z)=e^z,$$ where $E_{1,1}$ denotes the Mittag-Leffler function and $e^z$ denotes the exponential.
Proof
References
- H.J. Haubold, A.M. Mathai and R.K. Saxena: Mittag-Leffler Functions and Their Applications (2011)... (previous)... (next): $(2.1)$ (uses notation $E_1$ instead of $E_{1,1}$)