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Hausdorff-summability of power series. II. (English) Zbl 0303.40014


MSC:

40G05 Cesàro, Euler, Nörlund and Hausdorff methods
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References:

[1] Agmon. On the singularities of TAYLOR series with reciprocal coefficients. Pac. J. Math.2, (1952), 431-453 · Zbl 0047.31201
[2] Aronszajn, Sur les décompositions des fonctions analytiques uniformes et sur leurs applications. Acta Math.65, (1935), 1-152 · Zbl 0012.26204 · doi:10.1007/BF02420944
[3] BIEBERBACH, Analytische Fortsetzung Berlin 1955
[4] Okada, Über die Annäherung analytischer Funktionen Math. Z.23, (1925), 62-71 · JFM 51.0243.01 · doi:10.1007/BF01506221
[5] PEYERIMHOFF, Lectures on Summability Lecture Notes in Mathematics 107, Berlin 1959
[6] Rogosinski, On Hausdorff ’s method of summability I Proc. Cambridge Phil. Soc.38 (1942), 166-192 · JFM 68.0133.01 · doi:10.1017/S0305004100021848
[7] Soula, Sur les points singulaires des deux fonctions ?anzn et ?zn/an Bull. Soc. Math. France56 (1928), 36-49 · JFM 54.0342.02
[8] TITCHMARSH, The theory of functions Oxford 1939
[9] Trautner, Hausdorff summability of power series I Man. math7 (1972), 1-12 · Zbl 0235.40008 · doi:10.1007/BF01303532
[10] TRAUTNER, Summierbarkeit von Potenzreihen Habilitationsschrift Ulm 1973
[11] TRAUTNER, Wachstumseigenschaften von Mellin-Transformationen in Winkelräumen (to appear)
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