2018
DOI: 10.2139/ssrn.3171628
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Generalized Sums Based on Transcendental Functions

Abstract: In this work we are discussing the generalized sums that we can obtain from transcendental functions. The generalized sums are operations which widespread the addition of real numbers. Using these sums, we will see that we can form some Abelian groups. The study is based on the generalized sums proposed in his k-calculus by Giorgio Kaniadakis, who used it in the framework of a generalized statistics, first applied to special relativity. Besides the investigation of some groups, the paper is also proposing exam… Show more

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Cited by 2 publications
(7 citation statements)
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“…That is, we have to see that the result of the sum is in the open interval (-1,1). This is discussed in [9]. The generalized sum 3 .…”
Section: Other Groupsmentioning
confidence: 99%
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“…That is, we have to see that the result of the sum is in the open interval (-1,1). This is discussed in [9]. The generalized sum 3 .…”
Section: Other Groupsmentioning
confidence: 99%
“…To have a group, we need the discussion of the associativity too, showing therefore that ( ) ( ). Let us calculate (( ) ) and ( ( )); we can easily see that [9]:…”
Section: Let Us Remember That a Group Is A Setmentioning
confidence: 99%
See 3 more Smart Citations