Abstract

The function is a recursive formula used to calculate the sum of a given sequence of numbers. It takes an extended sequence of infinite numbers, \[Eta] \[Infinity] and two additional parameters (\[Delta] \[Infinity]) and (\[Kappa] \[Infinity]) as inputs. It then calculates a summation of the sequence from \[Infinity] to 1 using an integral and the three given parameters. The integral calls a function \[Alpha]\[CapitalPi]Ω which takes a pair of two parameters \[CapitalDelta] and \[CapitalEpsilon] and combines them to calculate the sum. Finally, it returns the result of the summation as an output. The varying infinity meanins have different modes of performing calculus functions. i.e. An example of a derivative in Kappa Infinity is.