In mathematical analysis, Heine's identity, named after Heinrich Eduard Heine[1] is a Fourier expansion of a reciprocal square root which Heine presented as Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.")
where[2] Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.")
from server "http://localhost:6011/en.wikipedia.org/v1/":): {\displaystyle Q_{m-\frac12}} is a Legendre function of the second kind, which has degree, m − 1⁄2, a half-integer, and argument, z, real and greater than one.
This expression can be generalized[3] for arbitrary half-integer powers as follows Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.")
where Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.")