Series Representation of Power Function
Résumé
In this paper described numerical expansion of natural-valued power function $x^n$, in point $x=x_0$ where $(n, \ x_0)$ - natural numbers. Applying 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 Binomial sum. Additionally, in Section 2 exponential function's $Exp(x), \ x \in \mathbb{N}$ representation is shown and relation between Pascal's triangle and hypercubes is shown in Section 3.
Mots clés
Multinomial theorem
Binomial Series
Numercal Methods
Numerical Analysis
Number Theory
Finite Difference
Binomial Distribution
Exponentiation
Hypercube
Perfect Cube
Series Expansion
Series Representation
Polynomial
Power series (mathematics)
Power (mathematics)
Exponential Function
Cube (Algebra)
Binomial Theorem
Power Function
Multinomial coefficient
Binomial Sum
Pascal's triangle
Derivative
Numerical Differentiation
Differentiation
Binomial coefficient
Origine : Fichiers produits par l'(les) auteur(s)
Loading...