

@article {MR0058734,
    AUTHOR = {Erd\"{o}s, P.},
     TITLE = {On the uniform but not absolute convergence of power series
              with gaps},
   JOURNAL = {Ann. Soc. Polon. Math.},
  FJOURNAL = {Ann. Soc. Polon. Math.},
    VOLUME = {25},
      YEAR = {1952},
     PAGES = {162--168},
   MRCLASS = {40.0X},
  MRNUMBER = {58734},
MRREVIEWER = {A.\ Dvoretzky},
}

@article {MR0062219,
    AUTHOR = {Schaeffer, A. C.},
     TITLE = {Power series and {P}eano curves},
   JOURNAL = {Duke Math. J.},
  FJOURNAL = {Duke Mathematical Journal},
    VOLUME = {21},
      YEAR = {1954},
     PAGES = {383--389},
      ISSN = {0012-7094,1547-7398},
   MRCLASS = {30.0X},
  MRNUMBER = {62219},
MRREVIEWER = {G.\ Piranian},
       URL = {http://projecteuclid.org/euclid.dmj/1077465742},
}


@article {MR0015154,
    AUTHOR = {Salem, R. and Zygmund, A.},
     TITLE = {Lacunary power series and {P}eano curves},
   JOURNAL = {Duke Math. J.},
  FJOURNAL = {Duke Mathematical Journal},
    VOLUME = {12},
      YEAR = {1945},
     PAGES = {569--578},
      ISSN = {0012-7094,1547-7398},
   MRCLASS = {30.0X},
  MRNUMBER = {15154},
MRREVIEWER = {W.\ W.\ Rogosinski},
       URL = {http://projecteuclid.org/euclid.dmj/1077473367},
}

@article {MR0050016,
    AUTHOR = {Piranian, G. and Titus, C. J. and Young, G. S.},
     TITLE = {Conformal mappings and {P}eano curves},
   JOURNAL = {Michigan Math. J.},
  FJOURNAL = {Michigan Mathematical Journal},
    VOLUME = {1},
      YEAR = {1952},
     PAGES = {69--72},
      ISSN = {0026-2285,1945-2365},
   MRCLASS = {30.0X},
  MRNUMBER = {50016},
MRREVIEWER = {W.\ W.\ Rogosinski},
       URL = {http://projecteuclid.org/euclid.mmj/1028989728},
}

@article {MR0133439,
    AUTHOR = {Bagemihl, F. and Piranian, G.},
     TITLE = {Absolutely convergent power series},
   JOURNAL = {Ann. Univ. Sci. Budapest. E\"{o}tv\"{o}s Sect. Math.},
  FJOURNAL = {Annales Universitatis Scientiarum Budapestinensis de Rolando
              E\"{o}tv\"{o}s Nominatae. Sectio Mathematica},
    VOLUME = {3/4},
      YEAR = {1960/61},
     PAGES = {27--34},
      ISSN = {0524-9007},
   MRCLASS = {30.20},
  MRNUMBER = {133439},
MRREVIEWER = {M.\ E.\ Noble},
}

@article {MR0942366,
    AUTHOR = {Choudhary, B.},
     TITLE = {An extension of {K}nopp's core theorem},
   JOURNAL = {J. Math. Anal. Appl.},
  FJOURNAL = {Journal of Mathematical Analysis and Applications},
    VOLUME = {132},
      YEAR = {1988},
    NUMBER = {1},
     PAGES = {226--233},
      ISSN = {0022-247X},
   MRCLASS = {40C05 (40J05 46A45)},
  MRNUMBER = {942366},
MRREVIEWER = {B.\ K.\ Tripathy},
       DOI = {10.1016/0022-247X(88)90055-8},
       URL = {https://doi.org/10.1016/0022-247X(88)90055-8},
}

@article {MR0043889,
    AUTHOR = {Erd\H{o}s, P. and Herzog, F. and Piranian, G.},
     TITLE = {Schlicht {T}aylor series whose convergence on the unit circle
              is uniform but not absolute},
   JOURNAL = {Pacific J. Math.},
  FJOURNAL = {Pacific Journal of Mathematics},
    VOLUME = {1},
      YEAR = {1951},
     PAGES = {75--82},
      ISSN = {0030-8730,1945-5844},
   MRCLASS = {30.0X},
  MRNUMBER = {43889},
MRREVIEWER = {W.\ W.\ Rogosinski},
       URL = {http://projecteuclid.org/euclid.pjm/1102613153},
}

@article {MR0549529,
    AUTHOR = {Maddox, I. J.},
     TITLE = {Some analogues of {K}nopp's core theorem},
   JOURNAL = {Internat. J. Math. Math. Sci.},
  FJOURNAL = {International Journal of Mathematics and Mathematical
              Sciences},
    VOLUME = {2},
      YEAR = {1979},
    NUMBER = {4},
     PAGES = {605--614},
      ISSN = {0161-1712,1687-0425},
   MRCLASS = {40H05 (40C05 46A45)},
  MRNUMBER = {549529},
MRREVIEWER = {G.\ U.\ Brauer},
       DOI = {10.1155/S0161171279000454},
       URL = {https://doi.org/10.1155/S0161171279000454},
}

@article{Mazurkiewicz1922,
author = {Mazurkiewicz, Stefan},
journal = {Fundamenta Mathematicae},
language = {fre},
number = {1},
pages = {52-58},
title = {Sur les s\'{e}ries de puissances},
url = {http://eudml.org/doc/213279},
volume = {3},
year = {1922},
}

@article {MR0050680,
    AUTHOR = {Goodman, A. W.},
     TITLE = {Inaccessible boundary points},
   JOURNAL = {Proc. Amer. Math. Soc.},
  FJOURNAL = {Proceedings of the American Mathematical Society},
    VOLUME = {3},
      YEAR = {1952},
     PAGES = {742--750},
      ISSN = {0002-9939,1088-6826},
   MRCLASS = {30.0X},
  MRNUMBER = {50680},
MRREVIEWER = {J.\ Ferrand},
       DOI = {10.2307/2032176},
       URL = {https://doi.org/10.2307/2032176},
}




@article {MR0053210,
    AUTHOR = {Herzog, Fritz and Piranian, George},
     TITLE = {Sets of convergence of {T}aylor series. {II}},
   JOURNAL = {Duke Math. J.},
  FJOURNAL = {Duke Mathematical Journal},
    VOLUME = {20},
      YEAR = {1953},
     PAGES = {41--54},
      ISSN = {0012-7094,1547-7398},
   MRCLASS = {30.0X},
  MRNUMBER = {53210},
MRREVIEWER = {R.\ C.\ Buck},
       URL = {http://projecteuclid.org/euclid.dmj/1077465063},
}



@article {MR0031049,
    AUTHOR = {Herzog, Fritz and Piranian, George},
     TITLE = {Sets of convergence of {T}aylor series. {I}},
   JOURNAL = {Duke Math. J.},
  FJOURNAL = {Duke Mathematical Journal},
    VOLUME = {16},
      YEAR = {1949},
     PAGES = {529--534},
      ISSN = {0012-7094,1547-7398},
   MRCLASS = {30.0X},
  MRNUMBER = {31049},
MRREVIEWER = {R.\ C.\ Buck},
       URL = {http://projecteuclid.org/euclid.dmj/1077475672},
}