Mathieu Functions and Hill’s Equation - 28.30 Expansions in Series of Eigenfunctions

DLMF	Formula	Constraints	Maple	Mathematica	Symbolic Maple	Symbolic Mathematica	Numeric Maple	Numeric Mathematica
28.30.E2	Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \frac{1}{2\pi}\int_{0}^{2\pi}w_{m}(x)w_{n}(x)\diff{x} = \Kroneckerdelta{m}{n}} \frac{1}{2\pi}\int_{0}^{2\pi}w_{m}(x)w_{n}(x)\diff{x} = \Kroneckerdelta{m}{n}	Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle }	(1)/(2*Pi)*int(w[m](x)* w[n](x), x = 0..2*Pi) = KroneckerDelta[m, n]	Divide[1,2*Pi]*Integrate[Subscript[w, m][x]* Subscript[w, n][x], {x, 0, 2*Pi}, GenerateConditions->None] == KroneckerDelta[m, n]	Failure	Failure	Failed [300 / 300] Result: 5.579736275+11.39643752*I Test Values: {w[m] = 1/2*3^(1/2)+1/2*I, w[n] = 1/2*3^(1/2)+1/2*I, m = 1, n = 1} Result: 6.579736275+11.39643752*I Test Values: {w[m] = 1/2*3^(1/2)+1/2*I, w[n] = 1/2*3^(1/2)+1/2*I, m = 1, n = 2} ... skip entries to safe data	Failed [300 / 300] Result: Complex[5.579736267392906, 11.396437515528111] Test Values: {Rule[m, 1], Rule[n, 1], Rule[Subscript[w, m], Power[E, Times[Complex[0, Rational[1, 6]], Pi]]], Rule[Subscript[w, n], Power[E, Times[Complex[0, Rational[1, 6]], Pi]]]} Result: Complex[6.579736267392906, 11.396437515528111] Test Values: {Rule[m, 1], Rule[n, 2], Rule[Subscript[w, m], Power[E, Times[Complex[0, Rational[1, 6]], Pi]]], Rule[Subscript[w, n], Power[E, Times[Complex[0, Rational[1, 6]], Pi]]]} ... skip entries to safe data