{"action":"created","issue":{"url":"https://api.github.com/repos/sympy/sympy/issues/11329","repository_url":"https://api.github.com/repos/sympy/sympy","labels_url":"https://api.github.com/repos/sympy/sympy/issues/11329/labels{/name}","comments_url":"https://api.github.com/repos/sympy/sympy/issues/11329/comments","events_url":"https://api.github.com/repos/sympy/sympy/issues/11329/events","html_url":"https://github.com/sympy/sympy/issues/11329","id":163040698,"number":11329,"title":"convert to MeijerG","user":{"login":"certik","id":20568,"avatar_url":"https://avatars.githubusercontent.com/u/20568?v=3","gravatar_id":"","url":"https://api.github.com/users/certik","html_url":"https://github.com/certik","followers_url":"https://api.github.com/users/certik/followers","following_url":"https://api.github.com/users/certik/following{/other_user}","gists_url":"https://api.github.com/users/certik/gists{/gist_id}","starred_url":"https://api.github.com/users/certik/starred{/owner}{/repo}","subscriptions_url":"https://api.github.com/users/certik/subscriptions","organizations_url":"https://api.github.com/users/certik/orgs","repos_url":"https://api.github.com/users/certik/repos","events_url":"https://api.github.com/users/certik/events{/privacy}","received_events_url":"https://api.github.com/users/certik/received_events","type":"User","site_admin":false},"labels":[{"url":"https://api.github.com/repos/sympy/sympy/labels/Holonomic%20Functions","name":"Holonomic Functions","color":"1d76db"}],"state":"open","locked":false,"assignee":null,"assignees":[],"milestone":null,"comments":1,"created_at":"2016-06-29T22:23:01Z","updated_at":"2016-06-30T09:35:51Z","closed_at":null,"body":"Add a method that returns a MeijerG (unexpanded) of a given holonomic function, if it exists."},"comment":{"url":"https://api.github.com/repos/sympy/sympy/issues/comments/229610654","html_url":"https://github.com/sympy/sympy/issues/11329#issuecomment-229610654","issue_url":"https://api.github.com/repos/sympy/sympy/issues/11329","id":229610654,"user":{"login":"jksuom","id":6929119,"avatar_url":"https://avatars.githubusercontent.com/u/6929119?v=3","gravatar_id":"","url":"https://api.github.com/users/jksuom","html_url":"https://github.com/jksuom","followers_url":"https://api.github.com/users/jksuom/followers","following_url":"https://api.github.com/users/jksuom/following{/other_user}","gists_url":"https://api.github.com/users/jksuom/gists{/gist_id}","starred_url":"https://api.github.com/users/jksuom/starred{/owner}{/repo}","subscriptions_url":"https://api.github.com/users/jksuom/subscriptions","organizations_url":"https://api.github.com/users/jksuom/orgs","repos_url":"https://api.github.com/users/jksuom/repos","events_url":"https://api.github.com/users/jksuom/events{/privacy}","received_events_url":"https://api.github.com/users/jksuom/received_events","type":"User","site_admin":false},"created_at":"2016-06-30T09:35:51Z","updated_at":"2016-06-30T09:35:51Z","body":"This looks hard. It is easy to recognize those differential equations that have Meijer G-functions as solutions. Also the `a`- and `b`- parameters can be easily found from the equation. But this does not suffice, in general. To define a G-function these two families of parameters have to be divided into two parts each. Thus there are many G-functions satisfying the same differential equation. A general (holonomic) solution of the equation is a linear combination of these functions. The really hard question is how to find the coefficients of such a combination."}}
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