hypergeometric functions.

The hypergeometric functions are a series of functions which includes the hypergeometric0F1, called the confluent hypergeometric limit function (D. Cousineau); the hypergeometric1F1, called the confluent hypergeometric function m14CohensdpLibrary; and the hypergeometric2F1, called Gauss' confluent hypergeometric function MICHEL2008535CohensdpLibrary. These functions are involved in the computation of the K' and Lambda' distributions, as well as the Chi-square" and the t" distributions c22aCohensdpLibrary.

hypergeometric0F1(a, z)      
hypergeometric1F1(a, b, z)  
hypergeometric2F1(a, b, c, z)

Arguments

a

the first parameter;

z

the argument raised to the powers 0 ... infinity ;

b

the second parameter;

c

the third parameter;

Value

The result of the hypergeometric function.

References

Examples

hypergeometric0F1(12, 0.4)         #   1.033851
#> [1] 1.033851
hypergeometric1F1(12, 14, 0.4)     #   1.409877
#> [1] 1.409877
hypergeometric2F1(12, 14, 16, 0.4) # 205.5699
#> [1] 205.5699