Confluent Hypergeometric Function of the First Kind

Is there a way to calculate this function in matlab, specifically in 2013a?

I got this function in Mathmatica, it's called Hypergeometric1F1 there. I've seen kummerU in matlab, but the definitions look different. in Mathmatica the definition is: http://mathworld.wolfram.com/ConfluentHypergeometricFunctionoftheFirstKind.html in matlab it's different: http://www.mathworks.com/help/symbolic/kummeru.html

Answer 1

[Brendan Hamm]

The kummerU function is the Confluent Hypergeometric Function of the Second Kind.

hypergeom(a,b,z) is the Confluent Hypergeometric Function of the First Kind.

Test it:

>> F = @(a,b,z) gamma(b)/(gamma(b-a)*gamma(a))*integral(@(t) exp(z.*t).*t.^(a-1).*(1-t).^(b-a-1),0,1);
>> F(1,2,-pi)
ans =
    0.3046
>> hypergeom(1,2,-pi)
ans =
    0.3046

[Muhammad Abdullah]

hello @Brendan Hamm

I have a characteristic function which is

this is derived from laplace transform

, here -p = iota*t

from the characteristic function, we made the confluent hypergeometric function as

I want to solve this confluent function via the following equation

,here c=a+b & z =N*x*(a+b/a)*(p/p+1)

I want to know we have to input z as a single complex number or a matrix of complex numbers?... have to compare the results with the kummerU function...

after this i have to perform the inverse laplace function (ilaplace) also...which doesn't handle the numeric double values...so have to perform this inverse via an algo also...