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In this paper we derive the explicit, closed-form, recursion-free formulae for the arbitrary-order Fréchet derivatives of the exponential and logarithmic functions in unital Banach algebras (complex ...
Da-Sol Kuen, Miso Park, Heeju Ryu, Garam Choi, Young-Hye Moon, Jae-Ouk Kim, Keon Wook Kang, Sang Geon Kim, Yeonseok Chung Proceedings of the National Academy of Sciences of the United States of ...