Further Results on a Function Relevant for Conformal Blocks

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We present further mathematical results on a function appearing in the conformal blocks of four-point correlation functions with arbitrary quasi-primary operators.

• The $H$-function was introduced in a previous article and it has several interesting properties.
• We prove explicitly the recurrence relation as well as the $D_6$-invariance presented previously.
• We also demonstrate the proper action of the differential operator used to construct the $H$-function.