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Kolosov Petro

Kolosov Petro

This version is not peer-reviewed

In this paper described numerical expansion of natural-valued power function *x*^{n}^{,} in point *x *= *x*_{0} where *n, x*_{0} - natural numbers. Apply- ing numerical methods, that is calculus of finite differences, namely, discrete case of Binomial expansion is reached. Received results were compared with solutions according to Newton’s Binomial theorem and MacMillan Double Bi- nomial sum. Additionally, in section 4 exponential function’s *e*^{x }representation is shown.

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Submitted:

24 November 2017

Posted:

24 November 2017

Read the latest preprint version here

Alerts

Kolosov Petro

Kolosov Petro

This version is not peer-reviewed

Submitted:

24 November 2017

Posted:

24 November 2017

Read the latest preprint version here

Alerts

In this paper described numerical expansion of natural-valued power function *x*^{n}^{,} in point *x *= *x*_{0} where *n, x*_{0} - natural numbers. Apply- ing numerical methods, that is calculus of finite differences, namely, discrete case of Binomial expansion is reached. Received results were compared with solutions according to Newton’s Binomial theorem and MacMillan Double Bi- nomial sum. Additionally, in section 4 exponential function’s *e*^{x }representation is shown.

Keywords:

Subject: Computer Science and Mathematics - Algebra and Number Theory

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