On the differentiability of functions of an operator
Séminaire de probabilités, Tome 29 (1995), pp. 218-219 
@article{SPS_1995__29__218_0,
     author = {Hu, Yao-Zhong},
     title = {On the differentiability of functions of an operator},
     journal = {S\'eminaire de probabilit\'es},
     pages = {218--219},
     year = {1995},
     publisher = {Springer - Lecture Notes in Mathematics},
     volume = {29},
     mrnumber = {1459462},
     zbl = {0837.47013},
     language = {en},
     url = {https://www.numdam.org/item/SPS_1995__29__218_0/}
}
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Hu, Yao-Zhong. On the differentiability of functions of an operator. Séminaire de probabilités, Tome 29 (1995), pp. 218-219. https://www.numdam.org/item/SPS_1995__29__218_0/

[1] Donoghue (W.F.). Monotone Matrix Functions and Analytic Continuation, Springer (Grundlehren 207), 1974. | Zbl | MR

[2] Nörlund (N.). Vorlesungen über Differenzenrechnung, Berlin 1924. | JFM