caa a22 4500 465825273 CHVBK 20180323112147.0 cr unu---uuuuu 170327e19901201xx s 000 0 eng 10.1007/BF02112279 doi (NATIONALLICENCE)springer-10.1007/BF02112279 Berg Lothar Wilhelm-Pieck-Universität, Sektion Mathematik, Universitätsplatz 1, DDR-2500, Rostock, German Democratic Republic aut The asymptotic behaviour of certain entire functions of order zero [Elektronische Daten] [Lothar Berg] Summary: A certain class of entire functionsF(s) of order zero which are asymptotically equal to the sum of just two neighbouring terms of their power series when |s| → ∞ with |args| < π − ∈ for any fixed ∈ > 0, is investigated. Which two terms one has to take, depends upons. It is shown that these functions have infinitely many negative zeros, and the asymptotic behaviour of the zeros is also determined. Birkhäuser Verlag, 1990 Primary 41D60 nationallicence Secondary 30D15 nationallicence aequationes mathematicae Birkhäuser-Verlag 40/1(1990-12-01), 44-53 0001-9054 40:1<44 1990 40 10 https://doi.org/10.1007/BF02112279 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF02112279 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Berg Lothar Wilhelm-Pieck-Universität, Sektion Mathematik, Universitätsplatz 1, DDR-2500, Rostock, German Democratic Republic aut NATIONALLICENCE 773 0- aequationes mathematicae Birkhäuser-Verlag 40/1(1990-12-01), 44-53 0001-9054 40:1<44 1990 40 10 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer