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Reference.org
Heun function
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<p>In <a href="/facts/Mathematics/pxTouaz4">mathematics</a>, the local Heun function H ℓ ( a , q ; α , β , γ , δ ; z ) {\displaystyle H\ell (a,q;\alpha ,\beta ,\gamma ,\delta ;z)} (<a href="/facts/Karl_Heun/nTT1YVQW">Karl L. W. Heun</a> 1889) is the solution of Heun's differential equation that is holomorphic and 1 at the singular point <i>z</i> = 0. The local Heun function is called a Heun function, denoted <i>Hf</i>, if it is also regular at <i>z</i> = 1, and is called a Heun polynomial, denoted <i>Hp</i>, if it is regular at all three finite singular points <i>z</i> = 0, 1, <i>a</i>. </p>