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Hypergeometric function plotting, manipulating in Wolfram Alpha

Posted 27 days ago

I am having a hard time in Wolfram Alpha with plotting and manipulation of hypergeometric functions that are analytical in the arguments I use. Looking for suggestions based on the following example:

plot HypergeometricPFQ[{},{1/2,1},(x^2)/4], x=-5,5

WA recognizes this but won't plot it, just gives me an evaluation of the arc length. I do not have WA Pro or Pro Plus, if these work I would get a subscription. This works in sagemath:

F(x)=hypergeometric([],[1/2,1],(x^2)/4) plot(F(x),-5,5)

However, I need to be able to manipulate it, and sagemath can't handle even this: plot(F(x)/x,1,5)

Does anyone have suggestions on how to handle this in WA? Perhaps the syntax is wrong, or I need to get an upgrade to Pro, Pro Plus? If it doesn't work in WA I'd consider Mathematica, which I don't have but if it doesn't work in WA it might not work in Mathematica? WA seems to handle some functions better than others, hypergeometric1F1[a,b,c(-x^2)] for example it plots and manipulates easily, but I need the 0F2 function for my application/problem.

POSTED BY: S. Lake
2 Replies

Another easy way to plot is go to: develop.wolframcloud.com.

You must only sign in and is free ,and execute this code:

 Plot[HypergeometricPFQ[{},{1/2,1},(x^2)/4],{x,-5,5}]

Regards M.I.

POSTED BY: Mariusz Iwaniuk
Posted 26 days ago

This worked great, many thanks.

POSTED BY: S. Lake
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