10.12

DLMF	Formula	Constraints	Maple	Mathematica	Symbolic Maple	Symbolic Mathematica	Numeric Maple	Numeric Mathematica
10.12.E1	Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle e^{\frac{1}{2}z(t-t^{-1})} = \sum_{m=-\infty}^{\infty}t^{m}\BesselJ{m}@{z}} e^{\frac{1}{2}z(t-t^{-1})} = \sum_{m=-\infty}^{\infty}t^{m}\BesselJ{m}@{z}	Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \realpart@@{(m+k+1)} > 0}	exp((1)/(2)*z*(t - (t)^(- 1))) = sum((t)^(m)* BesselJ(m, z), m = - infinity..infinity)	Exp[Divide[1,2]*z*(t - (t)^(- 1))] == Sum[(t)^(m)* BesselJ[m, z], {m, - Infinity, Infinity}, GenerateConditions->None]	Failure	Successful	Successful [Tested: 42]	Successful [Tested: 42]
10.12#Ex1	Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \cos@{z\sin@@{\theta}} = \BesselJ{0}@{z}+2\sum_{k=1}^{\infty}\BesselJ{2k}@{z}\cos@{2k\theta}} \cos@{z\sin@@{\theta}} = \BesselJ{0}@{z}+2\sum_{k=1}^{\infty}\BesselJ{2k}@{z}\cos@{2k\theta}	Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \realpart@@{(0+k+1)} > 0, \realpart@@{((2k)+k+1)} > 0}	cos(z*sin(theta)) = BesselJ(0, z)+ 2*sum(BesselJ(2*k, z)*cos(2*k*theta), k = 1..infinity)	Cos[z*Sin[\[Theta]]] == BesselJ[0, z]+ 2*Sum[BesselJ[2*k, z]*Cos[2*k*\[Theta]], {k, 1, Infinity}, GenerateConditions->None]	Failure	Successful	Skipped - Because timed out	Successful [Tested: 70]
10.12#Ex2	Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \sin@{z\sin@@{\theta}} = 2\sum_{k=0}^{\infty}\BesselJ{2k+1}@{z}\sin@{(2k+1)\theta}} \sin@{z\sin@@{\theta}} = 2\sum_{k=0}^{\infty}\BesselJ{2k+1}@{z}\sin@{(2k+1)\theta}	Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \realpart@@{((2k+1)+k+1)} > 0}	sin(z*sin(theta)) = 2*sum(BesselJ(2*k + 1, z)*sin((2*k + 1)*theta), k = 0..infinity)	Sin[z*Sin[\[Theta]]] == 2*Sum[BesselJ[2*k + 1, z]*Sin[(2*k + 1)*\[Theta]], {k, 0, Infinity}, GenerateConditions->None]	Aborted	Successful	Skipped - Because timed out	Successful [Tested: 70]
10.12#Ex3	Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \cos@{z\cos@@{\theta}} = \BesselJ{0}@{z}+2\sum_{k=1}^{\infty}(-1)^{k}\BesselJ{2k}@{z}\cos@{2k\theta}} \cos@{z\cos@@{\theta}} = \BesselJ{0}@{z}+2\sum_{k=1}^{\infty}(-1)^{k}\BesselJ{2k}@{z}\cos@{2k\theta}	Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \realpart@@{(0+k+1)} > 0, \realpart@@{((2k)+k+1)} > 0}	cos(z*cos(theta)) = BesselJ(0, z)+ 2*sum((- 1)^(k)* BesselJ(2*k, z)*cos(2*k*theta), k = 1..infinity)	Cos[z*Cos[\[Theta]]] == BesselJ[0, z]+ 2*Sum[(- 1)^(k)* BesselJ[2*k, z]*Cos[2*k*\[Theta]], {k, 1, Infinity}, GenerateConditions->None]	Failure	Successful	Skipped - Because timed out	Successful [Tested: 70]
10.12#Ex4	Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \sin@{z\cos@@{\theta}} = 2\sum_{k=0}^{\infty}(-1)^{k}\BesselJ{2k+1}@{z}\cos@{(2k+1)\theta}} \sin@{z\cos@@{\theta}} = 2\sum_{k=0}^{\infty}(-1)^{k}\BesselJ{2k+1}@{z}\cos@{(2k+1)\theta}	Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \realpart@@{((2k+1)+k+1)} > 0}	sin(z*cos(theta)) = 2*sum((- 1)^(k)* BesselJ(2*k + 1, z)*cos((2*k + 1)*theta), k = 0..infinity)	Sin[z*Cos[\[Theta]]] == 2*Sum[(- 1)^(k)* BesselJ[2*k + 1, z]*Cos[(2*k + 1)*\[Theta]], {k, 0, Infinity}, GenerateConditions->None]	Aborted	Successful	Skipped - Because timed out	Successful [Tested: 70]
10.12.E4	Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle 1 = \BesselJ{0}@{z}+2\BesselJ{2}@{z}+2\BesselJ{4}@{z}+2\BesselJ{6}@{z}+\dotsb} 1 = \BesselJ{0}@{z}+2\BesselJ{2}@{z}+2\BesselJ{4}@{z}+2\BesselJ{6}@{z}+\dotsb	Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \realpart@@{(0+k+1)} > 0, \realpart@@{(2+k+1)} > 0, \realpart@@{(4+k+1)} > 0, \realpart@@{(6+k+1)} > 0}	1 = BesselJ(0, z)+ 2*BesselJ(2, z)+ 2*BesselJ(4, z)+ 2*BesselJ(6, z)+ ..	1 == BesselJ[0, z]+ 2*BesselJ[2, z]+ 2*BesselJ[4, z]+ 2*BesselJ[6, z]+ \[Ellipsis]	Error	Failure	-	Failed [7 / 7] Result: Plus[Complex[-9.924736618779559*^-8, -1.6360842739013975*^-7], Times[-1.0, …]] Test Values: {Rule[z, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]]} Result: Plus[Complex[-9.440290587615918*^-8, -1.7199789187696823*^-7], Times[-1.0, …]] Test Values: {Rule[z, Power[E, Times[Complex[0, Rational[2, 3]], Pi]]]} ... skip entries to safe data
10.12#Ex5	Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \cos@@{z} = \BesselJ{0}@{z}-2\BesselJ{2}@{z}+2\BesselJ{4}@{z}-2\BesselJ{6}@{z}+\dotsb} \cos@@{z} = \BesselJ{0}@{z}-2\BesselJ{2}@{z}+2\BesselJ{4}@{z}-2\BesselJ{6}@{z}+\dotsb	Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \realpart@@{(0+k+1)} > 0, \realpart@@{(2+k+1)} > 0, \realpart@@{(4+k+1)} > 0, \realpart@@{(6+k+1)} > 0}	cos(z) = BesselJ(0, z)- 2*BesselJ(2, z)+ 2*BesselJ(4, z)- 2*BesselJ(6, z)+ ..	Cos[z] == BesselJ[0, z]- 2*BesselJ[2, z]+ 2*BesselJ[4, z]- 2*BesselJ[6, z]+ \[Ellipsis]	Error	Failure	-	Failed [7 / 7] Result: Plus[Complex[-9.976125969757277*^-8, -1.6267640928768756*^-7], Times[-1.0, …]] Test Values: {Rule[z, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]]} Result: Plus[Complex[-9.384008414770051*^-8, -1.7292990711625933*^-7], Times[-1.0, …]] Test Values: {Rule[z, Power[E, Times[Complex[0, Rational[2, 3]], Pi]]]} ... skip entries to safe data
10.12#Ex6	Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \sin@@{z} = 2\BesselJ{1}@{z}-2\BesselJ{3}@{z}+2\BesselJ{5}@{z}-\dotsb} \sin@@{z} = 2\BesselJ{1}@{z}-2\BesselJ{3}@{z}+2\BesselJ{5}@{z}-\dotsb	Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \realpart@@{(1+k+1)} > 0, \realpart@@{(3+k+1)} > 0, \realpart@@{(5+k+1)} > 0}	sin(z) = 2*BesselJ(1, z)- 2*BesselJ(3, z)+ 2*BesselJ(5, z)- ..	Sin[z] == 2*BesselJ[1, z]- 2*BesselJ[3, z]+ 2*BesselJ[5, z]- \[Ellipsis]	Error	Failure	-	Failed [7 / 7] Result: Plus[Complex[2.683443869444524*^-6, 1.443280323643048*^-6], …] Test Values: {Rule[z, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]]} Result: Plus[Complex[1.6585570595806232*^-6, -2.68341820086615*^-6], …] Test Values: {Rule[z, Power[E, Times[Complex[0, Rational[2, 3]], Pi]]]} ... skip entries to safe data
10.12#Ex7	Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \tfrac{1}{2}z\cos@@{z} = \BesselJ{1}@{z}-9\BesselJ{3}@{z}+25\BesselJ{5}@{z}-49\BesselJ{7}@{z}+\dotsb} \tfrac{1}{2}z\cos@@{z} = \BesselJ{1}@{z}-9\BesselJ{3}@{z}+25\BesselJ{5}@{z}-49\BesselJ{7}@{z}+\dotsb	Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \realpart@@{(1+k+1)} > 0, \realpart@@{(3+k+1)} > 0, \realpart@@{(5+k+1)} > 0, \realpart@@{(7+k+1)} > 0}	(1)/(2)*z*cos(z) = BesselJ(1, z)- 9*BesselJ(3, z)+ 25*BesselJ(5, z)- 49*BesselJ(7, z)+ ..	Divide[1,2]*z*Cos[z] == BesselJ[1, z]- 9*BesselJ[3, z]+ 25*BesselJ[5, z]- 49*BesselJ[7, z]+ \[Ellipsis]	Error	Failure	-	Failed [7 / 7] Result: Plus[Complex[-1.0583928733431947*^-8, -4.2969798588234076*^-7], Times[-1.0, …]] Test Values: {Rule[z, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]]} Result: Plus[Complex[4.4207480831559565*^-7, 1.0857586385526474*^-8], Times[-1.0, …]] Test Values: {Rule[z, Power[E, Times[Complex[0, Rational[2, 3]], Pi]]]} ... skip entries to safe data
10.12#Ex8	Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \tfrac{1}{2}z\sin@@{z} = 4\BesselJ{2}@{z}-16\BesselJ{4}@{z}+36\BesselJ{6}@{z}-\dotsi} \tfrac{1}{2}z\sin@@{z} = 4\BesselJ{2}@{z}-16\BesselJ{4}@{z}+36\BesselJ{6}@{z}-\dotsi	Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \realpart@@{(2+k+1)} > 0, \realpart@@{(4+k+1)} > 0, \realpart@@{(6+k+1)} > 0}	(1)/(2)*z*sin(z) = 4*BesselJ(2, z)- 16*BesselJ(4, z)+ 36*BesselJ(6, z)- ..	Divide[1,2]*z*Sin[z] == 4*BesselJ[2, z]- 16*BesselJ[4, z]+ 36*BesselJ[6, z]- \[Ellipsis]	Error	Failure	-	Failed [7 / 7] Result: Plus[Complex[3.196945008165919*^-6, 5.1972576656234*^-6], …] Test Values: {Rule[z, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]]} Result: Plus[Complex[2.997776089863624*^-6, 5.542144419168338*^-6], …] Test Values: {Rule[z, Power[E, Times[Complex[0, Rational[2, 3]], Pi]]]} ... skip entries to safe data