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Hypergeometric0F1

Hypergeometric0F1
is the confluent hypergeometric function .
  • Mathematical function, suitable for both symbolic and numerical manipulation.
  • The function has the series expansion .
  • For certain special arguments, Hypergeometric0F1 automatically evaluates to exact values.
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:
Hypergeometric0F1 threads element-wise over lists:
TraditionalForm formatting:
Series expansion at infinity:
Solve the 1+1-dimensional Dirac equation:
Plot the solution:
Use FunctionExpand to expand in terms of Bessel functions:
Continued fraction with arithmetic progression terms:
New in 1