Confluent Hypergeometric Function of the First Kind

45 views (last 30 days)
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

Answers (1)

Brendan Hamm
Brendan Hamm on 24 Dec 2015
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

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!