Generalized Hypergeometric Functions & Meijer G -Function - 16.23 Mathematical Applications
| DLMF | Formula | Constraints | Maple | Mathematica | Symbolic Maple |
Symbolic Mathematica |
Numeric Maple |
Numeric Mathematica |
|---|---|---|---|---|---|---|---|---|
| 16.23.E1 | \genhyperF{3}{2}@@{-n,n+\alpha+2,\frac{1}{2}(\alpha+1)}{\alpha+1,\frac{1}{2}(\alpha+3)}{x} > 0 |
|
hypergeom([- n , n + alpha + 2 ,(1)/(2)*(alpha + 1)], [alpha + 1 ,(1)/(2)*(alpha + 3)], x) > 0
|
HypergeometricPFQ[{- n , n + \[Alpha]+ 2 ,Divide[1,2]*(\[Alpha]+ 1)}, {\[Alpha]+ 1 ,Divide[1,2]*(\[Alpha]+ 3)}, x] > 0
|
Failure | Failure | Failed [12 / 27] Result: 0. < -.5000000000
Test Values: {alpha = 3/2, x = 3/2, n = 1}
Result: 0. < -1.482142857
Test Values: {alpha = 3/2, x = 3/2, n = 3}
... skip entries to safe data |
Failed [12 / 27]
Result: False
Test Values: {Rule[n, 1], Rule[x, 1.5], Rule[α, 1.5]}
Result: False
Test Values: {Rule[n, 3], Rule[x, 1.5], Rule[α, 1.5]}
... skip entries to safe data |