%0 Journal Article %1 petro2017series %A Petro, Kolosov %D 2017 %J Hyper Articles en Ligne %K %P 12 %T Series Representation of Power Function %U https://hal.archives-ouvertes.fr/hal-01283042 %X This paper presents the way to make expansion for the next form function: $y=x^n, \ \forall(x,n) N$ to the numerical series. The most widely used methods to solve this problem are Newton's Binomial Theorem and Fundamental Theorem of Calculus (that is, derivative and integral are inverse operators). The paper provides the other kind of solution, except above described theorems.

@article{petro2017series, abstract = {This paper presents the way to make expansion for the next form function: $y=x^n, \ \forall(x,n) \in {\mathbb{N}}$ to the numerical series. The most widely used methods to solve this problem are Newton's Binomial Theorem and Fundamental Theorem of Calculus (that is, derivative and integral are inverse operators). The paper provides the other kind of solution, except above described theorems.}, added-at = {2017-05-01T06:46:10.000+0200}, author = {Petro, Kolosov}, biburl = {https://www.bibsonomy.org/bibtex/28fc50bde4f4d75f63310d4f253ec9cdc/kolosov_petro}, id = {https://hal.archives-ouvertes.fr/hal-01283042/document, hal-01283042, https://hal.archives-ouvertes.fr/hal-01283042}, interhash = {65ee54c30b93993a845d117c4127306c}, intrahash = {8fc50bde4f4d75f63310d4f253ec9cdc}, journal = {Hyper Articles en Ligne}, keywords = {}, month = {march}, pages = 12, timestamp = {2017-05-01T06:46:10.000+0200}, title = {Series Representation of Power Function}, type = {document}, url = {https://hal.archives-ouvertes.fr/hal-01283042}, year = 2017 }