@article {MR0021131,
    AUTHOR = {Wilansky, Albert},
     TITLE = {On the convergence of double series},
   JOURNAL = {Bull. Amer. Math. Soc.},
  FJOURNAL = {Bulletin of the American Mathematical Society},
    VOLUME = {53},
      YEAR = {1947},
     PAGES = {793--799},
      ISSN = {0002-9904},
   MRCLASS = {40.0X},
  MRNUMBER = {21131},
MRREVIEWER = {I.\ M.\ Sheffer},
       DOI = {10.1090/S0002-9904-1947-08888-1},
       URL = {https://doi.org/10.1090/S0002-9904-1947-08888-1},
}

@article {MR0602839,
    AUTHOR = {Roman, Steven},
     TITLE = {The formula of {F}a\`a di {B}runo},
   JOURNAL = {Amer. Math. Monthly},
  FJOURNAL = {American Mathematical Monthly},
    VOLUME = {87},
      YEAR = {1980},
    NUMBER = {10},
     PAGES = {805--809},
      ISSN = {0002-9890,1930-0972},
   MRCLASS = {26A06 (05A10)},
  MRNUMBER = {602839},
MRREVIEWER = {J.\ S.\ Lipi\'{n}ski},
       DOI = {10.2307/2320788},
       URL = {https://doi.org/10.2307/2320788},
}

@article{di1857note,
  title={Note sur une nouvelle formule de calcul diff{\'e}rentiel},
  author={Di Bruno, F Fa{\`a}},
  journal={Quarterly J. Pure Appl. Math},
  volume={1},
  number={359-360},
  pages={12},
  year={1857}
}


@article {MR0021977,
    AUTHOR = {Zorn, Max A.},
     TITLE = {Note on power series},
   JOURNAL = {Bull. Amer. Math. Soc.},
  FJOURNAL = {Bulletin of the American Mathematical Society},
    VOLUME = {53},
      YEAR = {1947},
     PAGES = {791--792},
      ISSN = {0002-9904},
   MRCLASS = {30.0X},
  MRNUMBER = {21977},
MRREVIEWER = {S.\ Bochner},
       DOI = {10.1090/S0002-9904-1947-08886-8},
       URL = {https://doi.org/10.1090/S0002-9904-1947-08886-8},
}


@article {MR0704536,
    AUTHOR = {M\'{o}ricz, F.},
     TITLE = {Some remarks on the notion of regular convergence of multiple
              series},
   JOURNAL = {Acta Math. Hungar.},
  FJOURNAL = {Acta Mathematica Hungarica},
    VOLUME = {41},
      YEAR = {1983},
    NUMBER = {1-2},
     PAGES = {161--168},
      ISSN = {0236-5294,1588-2632},
   MRCLASS = {40A05},
  MRNUMBER = {704536},
MRREVIEWER = {V.\ Ganapathy Iyer},
       DOI = {10.1007/BF01994074},
       URL = {https://doi.org/10.1007/BF01994074},
}