A generalization of Gauss' theorem on arithmetic-geometric means

DOI10.3792/pjaa.59.154zbMath0532.33005OpenAlexW2043537683MaRDI QIDQ788871

Takashi Ono

Publication date: 1983

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.59.154

zbMATH Keywords

Gegenbauer polynomialsspherical mean valuesZFM 532.33004

Mathematics Subject Classification ID

Classical hypergeometric functions, ({}_2F_1) (33C05) Spherical harmonics (33C55)

Related Items (3)

On the generalized power-type Toader mean ⋮ On certain integrals over spheres ⋮ A noncontinuous generalization of the arithmetic-geometric mean.

Cites Work

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• On a generalization of Laplace integrals
• On deformations of Hopf maps and hypergeometric series

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