Geodesic
Summability of the Heine and Neumann Series of Legendre Polynomials
Canadian journal of mathematics, Tome 18 (1966) no. 1, pp. 1261-1263

Voir la notice de l'article provenant de la source Cambridge University Press

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. 
Jakimovski, Amnon. Summability of the Heine and Neumann Series of Legendre Polynomials. Canadian journal of mathematics, Tome 18 (1966) no. 1, pp. 1261-1263. doi: 10.4153/CJM-1966-124-1
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[1] 1. Jakimovski, A., Analytic continuation and summability of series Legendre polynomials, Quart. J. Math. Oxford, Ser. 2, 15 (1964), 289–302. Google Scholar

[2] 2. Powell, R. E., The L(r, t) summability transform, Can. J. Math., 18 (1966), 1251–1260. Google Scholar

[3] 3. Whittaker, R. E. and Watson, G. N., A course of modern analysis (Cambridge, 1946). Google Scholar

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