T. Kobayashi and A. Leontiev. Double Gegenbauer expansion of |s- t|α. Integral Transforms and Special Functions, 30 (7) (2019) , pp.512-525. Published online: 26 Mar 2019. DOI: 10.1080/10652469.2019.1585433. arXiv: 1902.08064..

Motivated by the study of symmetry breaking operators for indefinite orthogonal groups, we give a Gegenbauer expansion of the two variable function | s - t |α in terms of the ultraspherical polynomials Cλ (s) and Cμm (t). Generalization, specialization, and limits of the expansion are also discussed.

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