Power function and binomial series on
| dc.contributor.author | Seçil Gergün | |
| dc.contributor.author | Burcu Silindir | |
| dc.contributor.author | Ahmet Yantir | |
| dc.date.accessioned | 2025-10-06T17:49:44Z | |
| dc.date.issued | 2023 | |
| dc.description.abstract | This article is devoted to present (Formula presented.) -analogue of power function which satisfies additivity and derivative properties similar to the ordinary power function. In the light of nabla (Formula presented.) -power function we present (Formula presented.) -analogue of binomial series and conclude that such power function is (Formula presented.) -analytic. We prove the analyticity by showing that both the power function and its absolutely convergent Taylor series solve the same IVP. Finally we present the reductions of (Formula presented.) -binomial series to classical binomial series Gauss' binomial and Newton's binomial formulas. © 2023 Elsevier B.V. All rights reserved. | |
| dc.identifier.doi | 10.1080/27690911.2023.2168657 | |
| dc.identifier.issn | 27690911 | |
| dc.identifier.issn | 2769-0911 | |
| dc.identifier.uri | https://www.scopus.com/inward/record.uri?eid=2-s2.0-85148540655&doi=10.1080%2F27690911.2023.2168657&partnerID=40&md5=d5e43eba090ced08c9aaff1577feeb66 | |
| dc.identifier.uri | https://gcris.yasar.edu.tr/handle/123456789/8582 | |
| dc.language.iso | English | |
| dc.publisher | Routledge | |
| dc.relation.ispartof | Applied Mathematics in Science and Engineering | |
| dc.source | Applied Mathematics in Science and Engineering | |
| dc.subject | -analytic Functions, Gauss' Binomial Formula, Nabla -binomial Series, Nabla -power Function, Nabla Generalized Quantum Binomial, Newton's Binomial Formula, -analytic Function, Additivity, Analytic Functions, Binomial Series, Gauss' Binomial Formula, Nablum -binomial Series, Nablum -power Function, Nablum Generalized Quantum Binomial, Newton Binomial Formula, Power Functions, Functional Analysis | |
| dc.subject | -analytic function, Additivity, Analytic functions, Binomial series, Gauss' binomial formula, Nablum -binomial series, Nablum -power function, Nablum generalized quantum binomial, Newton binomial formula, Power functions, Functional analysis | |
| dc.title | Power function and binomial series on | |
| dc.type | Article | |
| dspace.entity.type | Publication | |
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| gdc.coar.type | text::journal::journal article | |
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| gdc.description.volume | 31 | |
| gdc.identifier.openalex | W4317940841 | |
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| gdc.oaire.keywords | nabla generalized quantum binomial | |
| gdc.oaire.keywords | Engineering (General). Civil engineering (General) | |
| gdc.oaire.keywords | nabla $ (q, h) $ -power function | |
| gdc.oaire.keywords | nabla $ (q, h) $ -binomial series | |
| gdc.oaire.keywords | QA1-939 | |
| gdc.oaire.keywords | newton's binomial formula | |
| gdc.oaire.keywords | gauss' binomial formula | |
| gdc.oaire.keywords | TA1-2040 | |
| gdc.oaire.keywords | $ (q, h) $ -analytic functions | |
| gdc.oaire.keywords | Mathematics | |
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| gdc.oaire.sciencefields | 0101 mathematics | |
| gdc.oaire.sciencefields | 0210 nano-technology | |
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| person.identifier.scopus-author-id | Gergün- Seçil (6507041448), Silindir- Burcu (9845952500), Yantir- Ahmet (8943676000) | |
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| publicationvolume.volumeNumber | 31 | |
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