Commutative Convolution of Functions and Distributions
| dc.contributor.author | Tas, Kenan | |
| dc.contributor.author | Fisher, Brian | |
| dc.contributor.authorID | 4971 | tr_TR |
| dc.contributor.other | 02.02. Matematik | |
| dc.contributor.other | 02. Fen-Edebiyat Fakültesi | |
| dc.contributor.other | 01. Çankaya Üniversitesi | |
| dc.date.accessioned | 2016-04-27T08:10:24Z | |
| dc.date.accessioned | 2025-09-18T13:26:47Z | |
| dc.date.available | 2016-04-27T08:10:24Z | |
| dc.date.available | 2025-09-18T13:26:47Z | |
| dc.date.issued | 2007 | |
| dc.description | Tas, Kenan/0000-0001-8173-453X | en_US |
| dc.description.abstract | The commutative convolution f * g of two distributions f and g in D' is defined as the limit of the sequence {(f tau(n)) * (g tau(n))}, provided the limit exists, where {tau(n)} is a certain sequence of functions tn in D converging to 1. It is proved that |x|(lambda) * (sgn x|x|(-lambda-1)) = pi[cot (pi lambda) - cosec(pi lambda)] sgn x|x|(0), for lambda not equal 0, +/- 1, +/- 2, ... , where B denotes the Beta function. | en_US |
| dc.description.publishedMonth | 10 | |
| dc.identifier.citation | Fisher, B., Taş, K. (2007). Commutative convolution of functions and distributions. Integral Transforms & Special Functions, 18(10), 689-697. http://dx.doi.org/10.1080/10652460600935965 | en_US |
| dc.identifier.doi | 10.1080/10652460600935965 | |
| dc.identifier.issn | 1065-2469 | |
| dc.identifier.issn | 1476-8291 | |
| dc.identifier.scopus | 2-s2.0-34748838991 | |
| dc.identifier.uri | https://doi.org/10.1080/10652460600935965 | |
| dc.identifier.uri | https://hdl.handle.net/123456789/12733 | |
| dc.language.iso | en | en_US |
| dc.publisher | Taylor & Francis Ltd | en_US |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | Distribution | en_US |
| dc.subject | Dirac Delta Function | en_US |
| dc.subject | Convolution | en_US |
| dc.title | Commutative Convolution of Functions and Distributions | en_US |
| dc.title | Commutative convolution of functions and distributions | tr_TR |
| dc.type | Article | en_US |
| dspace.entity.type | Publication | |
| gdc.author.id | Tas, Kenan/0000-0001-8173-453X | |
| gdc.author.institutional | Taş, Kenan | |
| gdc.author.scopusid | 7402131987 | |
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| gdc.author.wosid | Tas, Kenan/D-8441-2011 | |
| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | Univ Leicester, Dept Math, Leicester LE1 7RH, Leics, England; Cankaya Univ, Fac Arts & Sci, Dept Math & Comp Sci, Ankara, Turkey | en_US |
| gdc.description.endpage | 697 | en_US |
| gdc.description.issue | 10 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | Q3 | |
| gdc.description.startpage | 689 | en_US |
| gdc.description.volume | 18 | en_US |
| gdc.description.woscitationindex | Science Citation Index Expanded | |
| gdc.description.wosquality | Q2 | |
| gdc.identifier.openalex | W2105773289 | |
| gdc.identifier.wos | WOS:000249643800001 | |
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