TY - JOUR
T1 - On Fabry’s Quotient Theorem
AU - Buhovsky, Lev
N1 - Publisher Copyright:
© 2022 The Mathematical Association of America.
PY - 2022
Y1 - 2022
N2 - We present a short proof of the Fabry quotient theorem, which states that for a complex power series with unit radius of convergence, if the quotient of its consecutive coefficients tends to s, then the point (Formula presented.) is a singular point of the series. This proof only uses material from undergraduate university studies.
AB - We present a short proof of the Fabry quotient theorem, which states that for a complex power series with unit radius of convergence, if the quotient of its consecutive coefficients tends to s, then the point (Formula presented.) is a singular point of the series. This proof only uses material from undergraduate university studies.
UR - http://www.scopus.com/inward/record.url?scp=85125223727&partnerID=8YFLogxK
U2 - 10.1080/00029890.2022.2026179
DO - 10.1080/00029890.2022.2026179
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AN - SCOPUS:85125223727
SN - 0002-9890
VL - 129
SP - 344
EP - 351
JO - American Mathematical Monthly
JF - American Mathematical Monthly
IS - 4
ER -