Elliptic Integrals - 19.36 Methods of Computation

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DLMF Formula Constraints Maple Mathematica Symbolic
Maple 		Symbolic
Mathematica 		Numeric
Maple 		Numeric
Mathematica
19.36.E3 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \CarlsonsymellintRF@{1}{2}{4} = \CarlsonsymellintRF@{z_{1}}{z_{2}}{z_{3}}}
\CarlsonsymellintRF@{1}{2}{4} = \CarlsonsymellintRF@{z_{1}}{z_{2}}{z_{3}}		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 
0.5*int(1/(sqrt(t+1)*sqrt(t+2)*sqrt(t+4)), t = 0..infinity) = 0.5*int(1/(sqrt(t+z[1])*sqrt(t+z[2])*sqrt(t+z[3])), t = 0..infinity)

EllipticF[ArcCos[Sqrt[1/4]],(4-2)/(4-1)]/Sqrt[4-1] == EllipticF[ArcCos[Sqrt[Subscript[z, 1]/Subscript[z, 3]]],(Subscript[z, 3]-Subscript[z, 2])/(Subscript[z, 3]-Subscript[z, 1])]/Sqrt[Subscript[z, 3]-Subscript[z, 1]]
Aborted Failure Skipped - Because timed out
Failed [300 / 300]
Result: Indeterminate
Test Values: {Rule[Subscript[z, 1], Times[Rational[1, 2], Power[E, Times[Complex[0, Rational[1, 6]], Pi]]]], Rule[Subscript[z, 2], Times[Rational[1, 2], Power[E, Times[Complex[0, Rational[1, 6]], Pi]]]], Rule[Subscript[z, 3], Times[Rational[1, 2], Power[E, Times[Complex[0, Rational[1, 6]], Pi]]]]}


Result: Complex[-0.6113291272616378, 0.7460602493090597]
Test Values: {Rule[Subscript[z, 1], Times[Rational[1, 2], Power[E, Times[Complex[0, Rational[1, 6]], Pi]]]], Rule[Subscript[z, 2], Times[Rational[1, 2], Power[E, Times[Complex[0, Rational[1, 6]], Pi]]]], Rule[Subscript[z, 3], Times[Rational[1, 2], Power[E, Times[Complex[0, Rational[2, 3]], Pi]]]]}

... skip entries to safe data
19.36.E4 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \begin{aligned} \displaystyle z_{1}&\displaystyle = 2.10985\;99098\;8,\\ \displaystyle z_{3}&\displaystyle}
\begin{aligned} \displaystyle z_{1}&\displaystyle = 2.10985\;99098\;8,\\ \displaystyle z_{3}&\displaystyle		 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } 



Skipped - no semantic math
Skipped - no semantic math
-
-




19.36.E5
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \CarlsonsymellintRF@{1}{2}{4} = 0.68508\;58166\dots}

\CarlsonsymellintRF@{1}{2}{4} = 0.68508\;58166\dots		
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle }


0.5*int(1/(sqrt(t+1)*sqrt(t+2)*sqrt(t+4)), t = 0..infinity) = 0.6850858166



EllipticF[ArcCos[Sqrt[1/4]],(4-2)/(4-1)]/Sqrt[4-1] == 0.6850858166


Failure
Failure
Successful [Tested: 0]
Successful [Tested: 1]




19.36#Ex1
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle 2a_{n+1} = a_{n}+\sqrt{a_{n}^{2}-c_{n}^{2}}}

2a_{n+1} = a_{n}+\sqrt{a_{n}^{2}-c_{n}^{2}}		
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle }


2*a[n + 1] = a[n]+sqrt((a[n])^(2)- (c[n])^(2))


2*Subscript[a, n + 1] == Subscript[a, n]+Sqrt[(Subscript[a, n])^(2)- (Subscript[c, n])^(2)]

Skipped - no semantic math
Skipped - no semantic math
-
-




19.36#Ex2
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle 2c_{n+1} = a_{n}-\sqrt{a_{n}^{2}-c_{n}^{2}}}

2c_{n+1} = a_{n}-\sqrt{a_{n}^{2}-c_{n}^{2}}		
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle }


2*c[n + 1] = a[n]-sqrt((a[n])^(2)- (c[n])^(2))


2*Subscript[c, n + 1] == Subscript[a, n]-Sqrt[(Subscript[a, n])^(2)- (Subscript[c, n])^(2)]

Skipped - no semantic math
Skipped - no semantic math
-
-




19.36#Ex3
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle 2t_{n+1} = t_{n}+\sqrt{t_{n}^{2}+\theta c_{n}^{2}}}

2t_{n+1} = t_{n}+\sqrt{t_{n}^{2}+\theta c_{n}^{2}}		
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle }


2*t[n + 1] = t[n]+sqrt((t[n])^(2)+ theta*(c[n])^(2))


2*Subscript[t, n + 1] == Subscript[t, n]+Sqrt[(Subscript[t, n])^(2)+ \[Theta]*(Subscript[c, n])^(2)]

Skipped - no semantic math
Skipped - no semantic math
-
-




19.36#Ex4
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle 0 < c_{0}}

0 < c_{0}		
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle }


0 < c[0]


0 < Subscript[c, 0]

Skipped - no semantic math
Skipped - no semantic math
-
-




19.36#Ex5
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle t_{0} \geq 0}

t_{0} \geq 0		
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle }


t[0] >= 0


Subscript[t, 0] >= 0

Skipped - no semantic math
Skipped - no semantic math
-
-




19.36#Ex6
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle t_{0}^{2}+\theta a_{0}^{2} \geq 0}

t_{0}^{2}+\theta a_{0}^{2} \geq 0		
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle }


(t[0])^(2)+ theta*(a[0])^(2) >= 0


(Subscript[t, 0])^(2)+ \[Theta]*(Subscript[a, 0])^(2) >= 0

Skipped - no semantic math
Skipped - no semantic math
-
-




19.36#Ex7
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \theta = + 1}

\theta = + 1		
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle }


theta = + 1


\[Theta] == + 1

Skipped - no semantic math
Skipped - no semantic math
-
-




19.36.E9
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \CarlsonsymellintRF@{t_{0}^{2}}{t_{0}^{2}+\theta c_{0}^{2}}{t_{0}^{2}+\theta a_{0}^{2}} = \CarlsonsymellintRF@{T^{2}}{T^{2}}{T^{2}+\theta M^{2}}}

\CarlsonsymellintRF@{t_{0}^{2}}{t_{0}^{2}+\theta c_{0}^{2}}{t_{0}^{2}+\theta a_{0}^{2}} = \CarlsonsymellintRF@{T^{2}}{T^{2}}{T^{2}+\theta M^{2}}		
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle }


0.5*int(1/(sqrt(t+(t[0])^(2))*sqrt(t+(t[0])^(2)+ theta*(c[0])^(2))*sqrt(t+(t[0])^(2)+ theta*(a[0])^(2))), t = 0..infinity) = 0.5*int(1/(sqrt(t+(T)^(2))*sqrt(t+(T)^(2))*sqrt(t+(T)^(2)+ theta*(M)^(2))), t = 0..infinity)



EllipticF[ArcCos[Sqrt[(Subscript[t, 0])^(2)/(Subscript[t, 0])^(2)+ \[Theta]*(Subscript[a, 0])^(2)]],((Subscript[t, 0])^(2)+ \[Theta]*(Subscript[a, 0])^(2)-(Subscript[t, 0])^(2)+ \[Theta]*(Subscript[c, 0])^(2))/((Subscript[t, 0])^(2)+ \[Theta]*(Subscript[a, 0])^(2)-(Subscript[t, 0])^(2))]/Sqrt[(Subscript[t, 0])^(2)+ \[Theta]*(Subscript[a, 0])^(2)-(Subscript[t, 0])^(2)] == EllipticF[ArcCos[Sqrt[(T)^(2)/(T)^(2)+ \[Theta]*(M)^(2)]],((T)^(2)+ \[Theta]*(M)^(2)-(T)^(2))/((T)^(2)+ \[Theta]*(M)^(2)-(T)^(2))]/Sqrt[(T)^(2)+ \[Theta]*(M)^(2)-(T)^(2)]


Error
Failure
-

Failed [300 / 300]
Result: Plus[Complex[0.041390391732804066, 0.9969018367602411], Times[2.8284271247461903, Power[Times[Complex[0.0, 1.0], a], Rational[-1, 2]], EllipticF[ArcCos[Power[Plus[Complex[-0.031249999999999986, 0.05412658773652742], Times[Complex[0.0, 0.125], a]], Rational[1, 2]]], Times[Complex[0.0, -8.0], Power[a, -1], Plus[Times[Complex[0.0, 0.125], a], Times[Complex[0.0, 0.125], c]]]]]]
Test Values: {Rule[M, Times[Rational[1, 2], Power[E, Times[Complex[0, Rational[1, 6]], Pi]]]], Rule[T, Times[Rational[1, 2], Power[E, Times[Complex[0, Rational[1, 6]], Pi]]]], Rule[θ, Times[Rational[1, 2], Power[E, Times[Complex[0, Rational[1, 6]], Pi]]]], Rule[Subscript[a, 0], Times[Rational[1, 2], Power[E, Times[Complex[0, Rational[1, 6]], Pi]]]], Rule[Subscript[c, 0], Times[Rational[1, 2], Power[E, Times[Complex[0, Rational[1, 6]], Pi]]]], Rule[Subscript[t, 0], Times[Rational[1, 2], Power[E, Times[Complex[0, Rational[1, 6]], Pi]]]]}


Result: Plus[Complex[0.041390391732804066, 0.9969018367602411], Times[2.8284271247461903, Power[Times[Complex[0.0, 1.0], a], Rational[-1, 2]], EllipticF[ArcCos[Power[Plus[Complex[-0.031249999999999986, 0.05412658773652742], Times[Complex[0.0, 0.125], a]], Rational[1, 2]]], Times[Complex[0.0, -8.0], Power[a, -1], Plus[Times[Complex[0.0, 0.125], a], Times[Complex[0.0, 0.125], c]]]]]]
Test Values: {Rule[M, Times[Rational[1, 2], Power[E, Times[Complex[0, Rational[1, 6]], Pi]]]], Rule[T, Times[Rational[1, 2], Power[E, Times[Complex[0, Rational[1, 6]], Pi]]]], Rule[θ, Times[Rational[1, 2], Power[E, Times[Complex[0, Rational[1, 6]], Pi]]]], Rule[Subscript[a, 0], Times[Rational[1, 2], Power[E, Times[Complex[0, Rational[1, 6]], Pi]]]], Rule[Subscript[c, 0], Times[Rational[1, 2], Power[E, Times[Complex[0, Rational[1, 6]], Pi]]]], Rule[Subscript[t, 0], Times[Rational[1, 2], Power[E, Times[Complex[0, Rational[2, 3]], Pi]]]]}


... skip entries to safe data





19.36.E9
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \CarlsonsymellintRF@{T^{2}}{T^{2}}{T^{2}+\theta M^{2}} = \CarlsonellintRC@{T^{2}+\theta M^{2}}{T^{2}}}

\CarlsonsymellintRF@{T^{2}}{T^{2}}{T^{2}+\theta M^{2}} = \CarlsonellintRC@{T^{2}+\theta M^{2}}{T^{2}}		
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle }


Error



EllipticF[ArcCos[Sqrt[(T)^(2)/(T)^(2)+ \[Theta]*(M)^(2)]],((T)^(2)+ \[Theta]*(M)^(2)-(T)^(2))/((T)^(2)+ \[Theta]*(M)^(2)-(T)^(2))]/Sqrt[(T)^(2)+ \[Theta]*(M)^(2)-(T)^(2)] == 1/Sqrt[(T)^(2)]*Hypergeometric2F1[1/2,1/2,3/2,1-((T)^(2)+ \[Theta]*(M)^(2))/((T)^(2))]


Missing Macro Error
Failure
-

Failed [300 / 300]
Result: Complex[-1.634056915706757, -0.008820605997006181]
Test Values: {Rule[M, Times[Rational[1, 2], Power[E, Times[Complex[0, Rational[1, 6]], Pi]]]], Rule[T, Times[Rational[1, 2], Power[E, Times[Complex[0, Rational[1, 6]], Pi]]]], Rule[θ, Times[Rational[1, 2], Power[E, Times[Complex[0, Rational[1, 6]], Pi]]]]}


Result: Complex[-1.6914869520542948, 0.13073697514602478]
Test Values: {Rule[M, Times[Rational[1, 2], Power[E, Times[Complex[0, Rational[1, 6]], Pi]]]], Rule[T, Times[Rational[1, 2], Power[E, Times[Complex[0, Rational[1, 6]], Pi]]]], Rule[θ, Times[Rational[1, 2], Power[E, Times[Complex[0, Rational[2, 3]], Pi]]]]}


... skip entries to safe data





19.36#Ex9
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle a_{3}^{2} = 2.46209\;30206\;0}

a_{3}^{2} = 2.46209\;30206\;0		
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle }


(a[3])^(2) = 2.46209302060


(Subscript[a, 3])^(2) == 2.46209302060

Skipped - no semantic math
Skipped - no semantic math
-
-




19.36#Ex10
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle t_{3}^{2} = 1.46971\;53173\;1}

t_{3}^{2} = 1.46971\;53173\;1		
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle }


(t[3])^(2) = 1.46971531731


(Subscript[t, 3])^(2) == 1.46971531731

Skipped - no semantic math
Skipped - no semantic math
-
-




19.36.E11
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \CarlsonsymellintRF@{1}{2}{4} = \CarlsonellintRC@{T^{2}+M^{2}}{T^{2}}}

\CarlsonsymellintRF@{1}{2}{4} = \CarlsonellintRC@{T^{2}+M^{2}}{T^{2}}		
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle }


Error



EllipticF[ArcCos[Sqrt[1/4]],(4-2)/(4-1)]/Sqrt[4-1] == 1/Sqrt[(T)^(2)]*Hypergeometric2F1[1/2,1/2,3/2,1-((T)^(2)+ (M)^(2))/((T)^(2))]


Missing Macro Error
Failure
-

Failed [100 / 100]
Result: Complex[-0.841498016533642, 0.8813735870195429]
Test Values: {Rule[M, Times[Rational[1, 2], Power[E, Times[Complex[0, Rational[1, 6]], Pi]]]], Rule[T, Times[Rational[1, 2], Power[E, Times[Complex[0, Rational[1, 6]], Pi]]]]}


Result: Complex[-0.8857105197615976, -2.720699010523131]
Test Values: {Rule[M, Times[Rational[1, 2], Power[E, Times[Complex[0, Rational[1, 6]], Pi]]]], Rule[T, Times[Rational[1, 2], Power[E, Times[Complex[0, Rational[2, 3]], Pi]]]]}


... skip entries to safe data





19.36.E11
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \CarlsonellintRC@{T^{2}+M^{2}}{T^{2}} = 0.68508\;58166}

\CarlsonellintRC@{T^{2}+M^{2}}{T^{2}} = 0.68508\;58166		
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle }


Error



1/Sqrt[(T)^(2)]*Hypergeometric2F1[1/2,1/2,3/2,1-((T)^(2)+ (M)^(2))/((T)^(2))] == 0.6850858166


Missing Macro Error
Failure
-

Failed [100 / 100]
Result: Complex[0.8414980165670778, -0.8813735870195429]
Test Values: {Rule[M, Times[Rational[1, 2], Power[E, Times[Complex[0, Rational[1, 6]], Pi]]]], Rule[T, Times[Rational[1, 2], Power[E, Times[Complex[0, Rational[1, 6]], Pi]]]]}


Result: Complex[0.8857105197950335, 2.720699010523131]
Test Values: {Rule[M, Times[Rational[1, 2], Power[E, Times[Complex[0, Rational[1, 6]], Pi]]]], Rule[T, Times[Rational[1, 2], Power[E, Times[Complex[0, Rational[2, 3]], Pi]]]]}


... skip entries to safe data





19.36#Ex11
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle h_{n} = \sqrt{t_{n}^{2}+\theta a_{n}^{2}}}

h_{n} = \sqrt{t_{n}^{2}+\theta a_{n}^{2}}		
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle }


h[n] = sqrt((t[n])^(2)+ theta*(a[n])^(2))


Subscript[h, n] == Sqrt[(Subscript[t, n])^(2)+ \[Theta]*(Subscript[a, n])^(2)]

Skipped - no semantic math
Skipped - no semantic math
-
-




19.36#Ex12
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle h_{n} = h_{n-1}\frac{t_{n}}{\sqrt{t_{n}^{2}+\theta c_{n}^{2}}}}

h_{n} = h_{n-1}\frac{t_{n}}{\sqrt{t_{n}^{2}+\theta c_{n}^{2}}}		
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle }


h[n] = h[n - 1]*(t[n])/(sqrt((t[n])^(2)+ theta*(c[n])^(2)))


Subscript[h, n] == Subscript[h, n - 1]*Divide[Subscript[t, n],Sqrt[(Subscript[t, n])^(2)+ \[Theta]*(Subscript[c, n])^(2)]]

Skipped - no semantic math
Skipped - no semantic math
-
-




19.36.E13
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle 2\CarlsonsymellintRG@{t_{0}^{2}}{t_{0}^{2}+\theta c_{0}^{2}}{t_{0}^{2}+\theta a_{0}^{2}} = \left(t_{0}^{2}+\theta\sum_{m=0}^{\infty}2^{m-1}c_{m}^{2}\right)\CarlsonellintRC@{T^{2}+\theta M^{2}}{T^{2}}+h_{0}+\sum_{m=1}^{\infty}2^{m}(h_{m}-h_{m-1})}

2\CarlsonsymellintRG@{t_{0}^{2}}{t_{0}^{2}+\theta c_{0}^{2}}{t_{0}^{2}+\theta a_{0}^{2}} = \left(t_{0}^{2}+\theta\sum_{m=0}^{\infty}2^{m-1}c_{m}^{2}\right)\CarlsonellintRC@{T^{2}+\theta M^{2}}{T^{2}}+h_{0}+\sum_{m=1}^{\infty}2^{m}(h_{m}-h_{m-1})		
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle }


Error



2*Sqrt[(Subscript[t, 0])^(2)+ \[Theta]*(Subscript[a, 0])^(2)-(Subscript[t, 0])^(2)]*(EllipticE[ArcCos[Sqrt[(Subscript[t, 0])^(2)/(Subscript[t, 0])^(2)+ \[Theta]*(Subscript[a, 0])^(2)]],((Subscript[t, 0])^(2)+ \[Theta]*(Subscript[a, 0])^(2)-(Subscript[t, 0])^(2)+ \[Theta]*(Subscript[c, 0])^(2))/((Subscript[t, 0])^(2)+ \[Theta]*(Subscript[a, 0])^(2)-(Subscript[t, 0])^(2))]+(Cot[ArcCos[Sqrt[(Subscript[t, 0])^(2)/(Subscript[t, 0])^(2)+ \[Theta]*(Subscript[a, 0])^(2)]]])^2*EllipticF[ArcCos[Sqrt[(Subscript[t, 0])^(2)/(Subscript[t, 0])^(2)+ \[Theta]*(Subscript[a, 0])^(2)]],((Subscript[t, 0])^(2)+ \[Theta]*(Subscript[a, 0])^(2)-(Subscript[t, 0])^(2)+ \[Theta]*(Subscript[c, 0])^(2))/((Subscript[t, 0])^(2)+ \[Theta]*(Subscript[a, 0])^(2)-(Subscript[t, 0])^(2))]+Cot[ArcCos[Sqrt[(Subscript[t, 0])^(2)/(Subscript[t, 0])^(2)+ \[Theta]*(Subscript[a, 0])^(2)]]]*Sqrt[1-k^2*Sin[ArcCos[Sqrt[(Subscript[t, 0])^(2)/(Subscript[t, 0])^(2)+ \[Theta]*(Subscript[a, 0])^(2)]]]^2]) == ((Subscript[t, 0])^(2)+ \[Theta]*Sum[(2)^(m - 1)* (Subscript[c, m])^(2), {m, 0, Infinity}, GenerateConditions->None])*1/Sqrt[(T)^(2)]*Hypergeometric2F1[1/2,1/2,3/2,1-((T)^(2)+ \[Theta]*(M)^(2))/((T)^(2))]+ Subscript[h, 0]+ Sum[(2)^(m)*(Subscript[h, m]- Subscript[h, m - 1]), {m, 1, Infinity}, GenerateConditions->None]


Missing Macro Error
Aborted
-

Failed [1 / 1]












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