On Riesz logarithmic summability of the ultraspherical series
Published online by Cambridge University Press: 24 October 2008
Extract
Let f{θ, φ) be a function defined for the range 0 ≤ φ π, 0 ≤ φ ≤ 2π on a sphere S. The ultraspherical series associated with this function is
where
and the ultraspherical polynomials are defined by the following expansion
.
- Type
- Research Article
- Information
- Mathematical Proceedings of the Cambridge Philosophical Society , Volume 63 , Issue 1 , January 1967 , pp. 161 - 170
- Copyright
- Copyright © Cambridge Philosophical Society 1967
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