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Closed expressions for $\int_{0}^{1} t^{-1} log^{n-1}t log^{p}(1 - t) dt$
Closed expressions for the integral integral /sub 0//sup 1/ t/sup -1/ log/sup n-1/t log/sup p/(1-t)dt, whose general form is given elsewhere, are listed for n=1(1)9, p=1(1)9. A formula is derived which allows an easy evaluation of these expressions by formula manipulation on a computer. The majority...
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| Lenguaje: | eng |
| Publicado: |
1981
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| Acceso en línea: | https://dx.doi.org/10.2307/2007341 http://cds.cern.ch/record/131491 |
| _version_ | 1780879380820525056 |
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| author | Kölbig, Kurt Siegfried |
| author_facet | Kölbig, Kurt Siegfried |
| author_sort | Kölbig, Kurt Siegfried |
| collection | CERN |
| description | Closed expressions for the integral integral /sub 0//sup 1/ t/sup -1/ log/sup n-1/t log/sup p/(1-t)dt, whose general form is given elsewhere, are listed for n=1(1)9, p=1(1)9. A formula is derived which allows an easy evaluation of these expressions by formula manipulation on a computer. The majority of the above expressions are given in a microfiche supplement to the paper. |
| id | cern-131491 |
| institution | Organización Europea para la Investigación Nuclear |
| language | eng |
| publishDate | 1981 |
| record_format | invenio |
| spelling | cern-1314912019-09-30T06:29:59Zdoi:10.2307/2007341http://cds.cern.ch/record/131491engKölbig, Kurt SiegfriedClosed expressions for $\int_{0}^{1} t^{-1} log^{n-1}t log^{p}(1 - t) dt$Mathematical Physics and MathematicsClosed expressions for the integral integral /sub 0//sup 1/ t/sup -1/ log/sup n-1/t log/sup p/(1-t)dt, whose general form is given elsewhere, are listed for n=1(1)9, p=1(1)9. A formula is derived which allows an easy evaluation of these expressions by formula manipulation on a computer. The majority of the above expressions are given in a microfiche supplement to the paper.CERN-DD-81-8oai:cds.cern.ch:1314911981-09-02 |
| spellingShingle | Mathematical Physics and Mathematics Kölbig, Kurt Siegfried Closed expressions for $\int_{0}^{1} t^{-1} log^{n-1}t log^{p}(1 - t) dt$ |
| title | Closed expressions for $\int_{0}^{1} t^{-1} log^{n-1}t log^{p}(1 - t) dt$ |
| title_full | Closed expressions for $\int_{0}^{1} t^{-1} log^{n-1}t log^{p}(1 - t) dt$ |
| title_fullStr | Closed expressions for $\int_{0}^{1} t^{-1} log^{n-1}t log^{p}(1 - t) dt$ |
| title_full_unstemmed | Closed expressions for $\int_{0}^{1} t^{-1} log^{n-1}t log^{p}(1 - t) dt$ |
| title_short | Closed expressions for $\int_{0}^{1} t^{-1} log^{n-1}t log^{p}(1 - t) dt$ |
| title_sort | closed expressions for $\int_{0}^{1} t^{-1} log^{n-1}t log^{p}(1 - t) dt$ |
| topic | Mathematical Physics and Mathematics |
| url | https://dx.doi.org/10.2307/2007341 http://cds.cern.ch/record/131491 |
| work_keys_str_mv | AT kolbigkurtsiegfried closedexpressionsforint01t1logn1tlogp1tdt |