# 13. Confluent Hypergeometric Functions

$M\left(a,b,x\right)$ denotes the Kummer confluent hypergeometric function $M$; (also known as the generalized hypergeometric function ${}_{1}F_{1}\left(a;b;x\right)$) see DLMF (13.2.2).
Computations are currently restricted to real $x$ and either
• $a=b$, excluding $b$ being a non-positive integer, or
• integer $a$ and non-integer $b$, or
• integer $a,b$ with $b>0$ and $b\ge a$.
Evaluate $M\left(a,b,x\right)$ as a Tabulation or Comparison?
Get function arguments from form or data file?
Specify the data file to compare tofor arguments:
Note: The lines in the data file must contain values for $a$, $b$, $x$ and $M\left(a,b,x\right)$ in that order, separated by commas or spaces.
Specify grid for function parameters and arguments:
Choose $a$ starting from ending with stepping by
Choose $b$ starting from ending with stepping by
Choose $x$ starting from ending with stepping by
Show output to digits, the number of digits in file, using
Return unformatted output only