Heun Functions - 31.3 Basic Solutions

DLMF	Formula	Constraints	Maple	Mathematica	Symbolic Maple	Symbolic Mathematica	Numeric Maple	Numeric Mathematica
31.3.E1	Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \HeunHl@{a}{q}{\alpha}{\beta}{\gamma}{\delta}{z} = \sum_{j=0}^{\infty}c_{j}z^{j}} \HeunHl@{a}{q}{\alpha}{\beta}{\gamma}{\delta}{z} = \sum_{j=0}^{\infty}c_{j}z^{j}	Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle |z| < 1}	HeunG(a, q, alpha, beta, gamma, delta, z) = sum(c[j]*(z)^(j), j = 0..infinity)	Error	Failure	Missing Macro Error	Manual Skip!	-
31.3.E2	Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle a\gamma c_{1}-qc_{0} = 0} a\gamma c_{1}-qc_{0} = 0	Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle }	a*gamma*c[1]- q*c[0] = 0	a*\[Gamma]*Subscript[c, 1]- q*Subscript[c, 0] == 0	Skipped - no semantic math	Skipped - no semantic math	-	-
31.3.E3	Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle R_{j}c_{j+1}-(Q_{j}+q)c_{j}+P_{j}c_{j-1} = 0} R_{j}c_{j+1}-(Q_{j}+q)c_{j}+P_{j}c_{j-1} = 0	Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle j \geq 1}	(a*(j + 1)*(j + gamma))*c[j + 1]-(Q[j]+ q)*c[j]+ P[j]*c[j - 1] = 0	(a*(j + 1)*(j + \[Gamma]))*Subscript[c, j + 1]-(Subscript[Q, j]+ q)*Subscript[c, j]+ Subscript[P, j]*Subscript[c, j - 1] == 0	Skipped - no semantic math	Skipped - no semantic math	-	-