Prasad, B. N.; Gupta, D. P. On convergence of ultraspherical lacunary series. (English) Zbl 0132.29502 Ann. Mat. Pura Appl., IV. Ser. 67, 395-403 (1965). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Keywords:approximation and series expansion PDFBibTeX XMLCite \textit{B. N. Prasad} and \textit{D. P. Gupta}, Ann. Mat. Pura Appl. (4) 67, 395--403 (1965; Zbl 0132.29502) Full Text: DOI References: [1] E. W. Hobson,Spherical and Ellipsoidal Harmonics, Cambridge, 1931. · JFM 57.0405.06 [2] Kogbetliantz, E., Recherches sur la sommabilité des séries ultrasphériques des moyennes arithmétiques, Journal de Mathématiques, 3, 9, 107-187 (1924) · JFM 50.0207.05 [3] Kolmogoroff, A., Une contribution a l’étude de la convergence des séries de Fourier, Fund. Mathematicae, 5, 96-97 (1924) · JFM 50.0206.04 [4] Sansone, G., Sulle serie lacunari di polinomi di Legendre di funzioni sommabili, Annali della R. Scuola Normale Superiore di Pisa, 2, 1-8 (1933) · JFM 59.0309.01 [5] Sansone, G., Sulla convergenza parziale degli sviluppi in serie di funzioni ortogonali. Estensione del teorema di Kolmogoroff sugli sviluppi in serie di Fourier, Reud. R. Acc. Naz. Lincei, XIII, 6, 842-847 (1931) · JFM 57.0329.02 [6] G. Szegö,Orthogonal Polynomials, Amer. Math. Soc. Colloquium Publications. Vol. 23, 1939. · JFM 65.0278.03 [7] E. T. Whittaker, &G. N. Watson,A course of Modern Analysis, Fourth Edition, Cambridge, 1935. [8] A. Zygmund,Trigonometric Series, 1952. · JFM 58.0296.09 [9] Zygmund, A., On the convergence of lacunary trigonometric series, Fund. Mathematicae, 16, 90-107 (1930) · JFM 56.0252.01 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.