Geodesic
On Defining the Exponent and Deriving the Euler Formula as well as the Basic Limit Relations
Matematičeskoe obrazovanie, no. 1-2 (2013), pp. 67-74 
S. V. Shvedenko. On Defining the Exponent and Deriving the Euler Formula as well as the Basic Limit Relations. Matematičeskoe obrazovanie, no. 1-2 (2013), pp. 67-74. http://geodesic.mathdoc.fr/item/MO_2013_1-2_a5/
@article{MO_2013_1-2_a5,
     author = {S. V. Shvedenko},
     title = {On {Defining} the {Exponent} and {Deriving} the {Euler} {Formula} as well as the {Basic} {Limit} {Relations}},
     journal = {Matemati\v{c}eskoe obrazovanie},
     pages = {67--74},
     year = {2013},
     number = {1-2},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MO_2013_1-2_a5/}
}
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Voir la notice de l'article provenant de la source Math-Net.Ru

The exponent of an arbitrary complex number is defined and the Euler formula is derived. On this basis an easy-to-use definition of an arbitrary real power of a real number is given, and the basic limit relations are derived.