Summation formulas for GJMS-operators and Q-curvatures on the Möbius sphere

preprint2015arXivOpen access

For the Möbius spheres $S^{q,p}$ , we give alternative elementary proofs of the recursive formulas for GJMS-operators and $Q$ -curvatures due to the first author [Geom. Funct. Anal. 23, (2013), 1278-1370; arXiv:1108.0273]. These proofs make essential use of the theory of hypergeometric series.

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Summation formulas for GJMS-operators and Q-curvatures on the Möbius sphere

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