hypergeom equation can't be solved

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KAlle
KAlle 2024-2-8
评论： Walter Roberson 2024-2-26
Ran in:
syms A B Z k w;
equation = hypergeom(A+1,B+1,Z)/hypergeom(A,B,Z) == 0.5 - k/(2*(w-1)*A);
solution = solve(equation, Z);
Warning: Unable to find explicit solution. For options, see help.
disp(solution);
-> Warning: Unable to find explicit solution. For options, see help.
is there a way to solve this?
  2 个评论
Dyuman Joshi
Dyuman Joshi 2024-2-8
编辑：Dyuman Joshi 2024-2-8
"is there a way to solve this?"
Not for symbolic variables. You might get a solution if you provide values for other variables.
Walter Roberson
Walter Roberson 2024-2-26
Maple is able to convert the hypergeom(A+1,B+1,Z)/hypergeom(A,B,Z) part into
-LaguerreL(-A-1,B,Z)*B/LaguerreL(-A,B-1,Z)/A
... But that doesn't seem to help much.

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回答（1 个）

Sufiyan
Sufiyan 2024-2-26
No, If you are looking to solve this numerically for specific values of A, B, k, and w, you would need to use numerical methods and provide those values.

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