Confluent Hypergeometric Functions - 13.21 Uniform Asymptotic Approximations for Large
| DLMF | Formula | Constraints | Maple | Mathematica | Symbolic Maple |
Symbolic Mathematica |
Numeric Maple |
Numeric Mathematica |
|---|---|---|---|---|---|---|---|---|
| 13.21.E5 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle 2\sqrt{\zeta} = \sqrt{x+x^{2}}+\ln@{\sqrt{x}+\sqrt{1+x}}}
2\sqrt{\zeta} = \sqrt{x+x^{2}}+\ln@{\sqrt{x}+\sqrt{1+x}} |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | 2*sqrt(zeta) = sqrt(x + (x)^(2))+ ln(sqrt(x)+sqrt(1 + x))
|
2*Sqrt[\[Zeta]] == Sqrt[x + (x)^(2)]+ Log[Sqrt[x]+Sqrt[1 + x]]
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Failure | Failure | Failed [30 / 30] Result: -1.036358555+.5176380902*I
Test Values: {x = 3/2, zeta = 1/2*3^(1/2)+1/2*I}
Result: -1.968210208+1.732050808*I
Test Values: {x = 3/2, zeta = -1/2+1/2*I*3^(1/2)}
... skip entries to safe data |
Failed [30 / 30]
Result: Complex[-1.0363585549733523, 0.5176380902050415]
Test Values: {Rule[x, 1.5], Rule[ζ, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]]}
Result: Complex[-1.9682102075514887, 1.7320508075688772]
Test Values: {Rule[x, 1.5], Rule[ζ, Power[E, Times[Complex[0, Rational[2, 3]], Pi]]]}
... skip entries to safe data |