Confluent Hypergeometric Functions - 13.12 Products
DLMF | Formula | Constraints | Maple | Mathematica | Symbolic Maple |
Symbolic Mathematica |
Numeric Maple |
Numeric Mathematica |
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13.12.E1 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \KummerconfhyperM@{a}{b}{z}\KummerconfhyperM@{-a}{-b}{-z}+\frac{a(a-b)z^{2}}{b^{2}(1-b^{2})}\KummerconfhyperM@{1+a}{2+b}{z}\KummerconfhyperM@{1-a}{2-b}{-z} = 1}
\KummerconfhyperM@{a}{b}{z}\KummerconfhyperM@{-a}{-b}{-z}+\frac{a(a-b)z^{2}}{b^{2}(1-b^{2})}\KummerconfhyperM@{1+a}{2+b}{z}\KummerconfhyperM@{1-a}{2-b}{-z} = 1 |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | KummerM(a, b, z)*KummerM(- a, - b, - z)+(a*(a - b)*(z)^(2))/((b)^(2)*(1 - (b)^(2)))*KummerM(1 + a, 2 + b, z)*KummerM(1 - a, 2 - b, - z) = 1
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Hypergeometric1F1[a, b, z]*Hypergeometric1F1[- a, - b, - z]+Divide[a*(a - b)*(z)^(2),(b)^(2)*(1 - (b)^(2))]*Hypergeometric1F1[1 + a, 2 + b, z]*Hypergeometric1F1[1 - a, 2 - b, - z] == 1
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Failure | Failure | Error | Failed [84 / 252]
Result: Indeterminate
Test Values: {Rule[a, -1.5], Rule[b, -2], Rule[z, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]]}
Result: Indeterminate
Test Values: {Rule[a, -1.5], Rule[b, -2], Rule[z, Power[E, Times[Complex[0, Rational[2, 3]], Pi]]]}
... skip entries to safe data |