Geodesic
Discrete Analytical Functions of Several Variables and Taylor Expansion
Sibirskij žurnal čistoj i prikladnoj matematiki, Tome 9 (2009) no. 2, pp. 38-46

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The purpose of the present paper is to prove that any discrete analytical function of several variables admits a Taylor expansion. Contrarily to continuous case, such an expansion is not unique. We give a necessary and sufficient conditions for discrete Taylor series to be identically zero. 
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     author = {O. A. Danilov and A. D. Mednykh},
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     journal = {Sibirskij \v{z}urnal \v{c}istoj i prikladnoj matematiki},
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     url = {http://geodesic.mathdoc.fr/item/VNGU_2009_9_2_a3/}
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O. A. Danilov; A. D. Mednykh. Discrete Analytical Functions of Several Variables and Taylor Expansion. Sibirskij žurnal čistoj i prikladnoj matematiki, Tome 9 (2009) no. 2, pp. 38-46. http://geodesic.mathdoc.fr/item/VNGU_2009_9_2_a3/