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Hypergeometric0F1Regularized

Hypergeometric0F1Regularized
is the regularized confluent hypergeometric function .
  • Mathematical function, suitable for both symbolic and numerical manipulation.
Evaluate numerically:
Series expansion at the origin:
Evaluate numerically:
In[1]:=
Click for copyable input
Out[1]=
 
Series expansion at the origin:
In[1]:=
Click for copyable input
Out[1]=
Evaluate for complex arguments and parameters:
Evaluate to high precision:
The precision of the output tracks the precision of the input:
Evaluate symbolically for half-integer parameters:
Hypergeometric0F1Regularized threads element-wise over lists:
TraditionalForm formatting:
Series expansion at infinity:
Probability that in a voting game with 2 candidates, and the number of votes being two independent Poisson random variables with means and , candidate 1 gets more votes than candidate 2 out of :
Plot distribution for almost even odds:
Visualize confluence relation :
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