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Addenda and Corrigenda
Author(s) -
Cooper R.
Publication year - 1928
Publication title -
proceedings of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.899
H-Index - 65
eISSN - 1460-244X
pISSN - 0024-6115
DOI - 10.1112/plms/s2-28.1.553-s
Subject(s) - mathematics , limiting , character (mathematics) , series (stratigraphy) , pure mathematics , transformation (genetics) , geometry , mechanical engineering , paleontology , biochemistry , chemistry , gene , engineering , biology
THE BEHAVIOUR OF CERTAIN SERIES ASSOCIATED WITH LIMITING CASES OF ELLIPTIC THETA‐FUNCTIONS. I find that the transformation formula which I gave in the third part of my paper [ Proc. London Math. Soc. (2), 27 (1928), 410–426], §4.1 (422–3), and which I used to determine the analytic character of functions such as∑ 1 ∞e x i n 2 θz n, had been established in a slightly different form by Prof. L. J. Mordell in a paper “The value of a definite integral”, Quart. J. of Math. , 48 (1920), 329–342 (341–2).