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Analysis and Algebraic Structures of q-Analysis and its Generalizations
Mälardalen University, School of Education, Culture and Communication.
2020 (English)Independent thesis Advanced level (degree of Master (Two Years)), 20 credits / 30 HE creditsStudent thesis
Abstract [en]

In this thesis we explore the concept of q-calculus and its generalisation. We begin by defining q-combinatorics which uses a real number to define a new set of numbers and then use these numbers to get classic combinatoric elements. These results have use when we work on our algebra that are related with this specific real number. We then work out some results involving one of the operators in the algebra. This operator together with a similar operator produces some special differential equations that we explore. Then we go on to define integrals as the inverse operator to the one used for our differential equations. In the last chapter we try to generalise everything we have explored until then. 

Place, publisher, year, edition, pages
2020. , p. 37
Keywords [en]
calculus
National Category
Mathematics
Identifiers
URN: urn:nbn:se:mdh:diva-48847OAI: oai:DiVA.org:mdh-48847DiVA, id: diva2:1442303
Subject / course
Mathematics/Applied Mathematics
Presentation
2020-06-11, 14:15 (English)
Supervisors
Examiners
Available from: 2020-06-25 Created: 2020-06-17 Last updated: 2020-06-25Bibliographically approved

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fulltext(210 kB)197 downloads
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Karlsson, Olle
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CiteExportLink to record
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Citation style
  • apa
  • ieee
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  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
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