HYPERGEOMETRIC FUNCTION

[Anousheh]

Hello,

Can MathCad calculate and plot a hypergeometrical function

capGAMMA of three variables, say u,v,w ???

Thanks for the help.

Anousheh

[StuartBruff]

Anousheh Rouzbehani wrote:

Hello,

Can MathCad calculate and plot a hypergeometrical function

capGAMMA of three variables, say u,v,w ???

Which hypergeometric function did you have in mind? Have you looked at the built-in function fhyper (the Gauss hypergeometric function ₂F₁(a, b, c, x))?

Stuart

[Anousheh]

Hello,

Thank you. I shall post more information soon.

Anousheh

[Anousheh]

Hello,

Please see the attached MathCad file. It explains what I need to do.

Please see if you can help.

Thank you so much.

Anousheh

[Werner_E]

Which Gamma function are you referring to?

How ist that Gamma defined?

Mathcad knows about Euler's Gamma and the incomplete Gamma (with two arguments)

See the definition out of Mathcad's help

Also Wolfram Research does't know about a gamma function with three argument.

BTW, I'm confused about your derivations. You write Gamma(a,x,1) and so you define Gamma being dependent from x, but your derivation behaves as if Gamma is a constant in respect to x???

[Werner_E]

Anousheh Rouzbehani schrieb:

Hello,

Can MathCad calculate and plot a hypergeometrical function

capGAMMA of three variables, say u,v,w ???

Thanks for the help.

Anousheh

Apart from Gauss and confluent I'd guess not out of the box.

What hypergeometric function you are interested in?

http://mathworld.wolfram.com/topics/HypergeometricFunctions.html

[Anousheh]

Hello,

More information soon.

Thanks

[Anousheh]

Hi,

Please see the attached worksheet.

Thank you,

Anousheh

[Werner_E]

You don't need to post it twice.

See above for my question about what Gamma function you are referring to. I don't know any with more than two parameters. Wheras the confluent hypergeometric mhyper (built in in mathcad) has three arguments, I doubt that you could use it in your case. The last parameter in that function has to be of absplute value smaller (not equal) than one.

[Fred_Kohlhepp]

Might this help?

Talks about a three parameter Gamma function. Develops something called a log-liklihood function, buth that function requires a sample size (n) to be realized.

[Anousheh]

Hello Fred,

Thank you so much. This is very interesting. I have to study this in more detail to see if it can be applied to my case.

Please keep in touch.

Thanks,

Anousheh