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In the recent development in a various disciplines of physics, it is notedthe need for including the deformed versions of the exponential functions. Inthis paper, we consider the deformations which have two purposes: to have themlike special cases, and, even more, to acquit their inauguration frommathematical point of view. Really, we will show interesting differential anddifference properties of our deformations which are important in forming andexplanation of continuous and discrete models of numerous phenomena.

The deformed exponential functions of two variables