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Sugli zeri delle funzioni di cui si conosce una rappresentazione asintotica. (Italian) Zbl 0034.32402
Keywords:
Number theory
References:
[1]Sulle funzioni ipergeometriche confluenti, t. (4)26 (1947) pp. 141–175.
[2]Una recente Memoria diS. Doss, Sur le comportement asymtotique des zéros de certaines fonctions d’approximation [Ann. Ėcole Norm. Super. (3)64 (1947) pp. 139–178] tratta una questione affine, ma diversa, e cioè confronta gli zeri di una funzione analitica con quelli delle ridotte della serie di potenzo che la rappresenta entro un certo cerchio, o delle medie allaCesàro e allaHölder di tali ridotte.
[3]Cfr.K. Knopp,Theorie und Anwendung der unendlichen Reihen (2 Aufl. Berlin, Springer, 1924) pp. 178. 181 e letteratura ivi citata.
[4]Cfr. p. es.G. N. Watson,Theory of Bessel functions (2. Ed. Cambridge, University Press, 1944) pp. 505–506.
[5]Torino, G. Einaudi ed., 1948.
[6]E. W. Hobson,Spherical and Ellipsoidal Harmonics (Cambridge, University Press, 1931) pp. 404–406.