Difference between revisions of "0F0(;;z)=exp(z)"

From specialfunctionswiki
Jump to: navigation, search
Line 1: Line 1:
<div class="toccolours mw-collapsible mw-collapsed">
+
==Theorem==
<strong>[[Exponential in terms of hypergeometric 0F0|Theorem]]:</strong> The following formula holds:
+
The following formula holds:
 
$$e^z={}_0F_0(;;z),$$
 
$$e^z={}_0F_0(;;z),$$
 
where ${}_0F_0$ denotes the [[hypergeometric pFq]] and $e^z$ denotes the [[exponential]].
 
where ${}_0F_0$ denotes the [[hypergeometric pFq]] and $e^z$ denotes the [[exponential]].
<div class="mw-collapsible-content">
+
 
<strong>Proof:</strong> █
+
==Proof==
</div>
+
 
</div>
+
==References==
 +
 
 +
[[Category:Theorem]]

Revision as of 03:46, 6 June 2016

Theorem

The following formula holds: $$e^z={}_0F_0(;;z),$$ where ${}_0F_0$ denotes the hypergeometric pFq and $e^z$ denotes the exponential.

Proof

References