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Summability of the Heine and Neumann Series of Legendre Polynomials
Published online by Cambridge University Press: 20 November 2018
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With a holomorphic function f(z) defined in a domain H which includes the closed interval [—1, 1] we associate the Neumann series
1
where Pn(z), Qn(t) are, respectively, the nth Legendre polynomials of the first and second kind and γ is a closed and rectifiable Jordan curve which includes [— 1, 1] in its interior and is included, together with its interior, in H.
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- Copyright © Canadian Mathematical Society 1966
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