Sharp Estimates of Pochhammer’s Products
Sharp, asymptotic estimates of classical and generalized rising/falling Pochhammer’s products having positive arguments are presented on the basis of Stirling’s approximation formula for the <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"...
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| Format: | Article |
| Language: | English |
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MDPI AG
2025-02-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/13/3/506 |
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| author | Vito Lampret |
| author_facet | Vito Lampret |
| author_sort | Vito Lampret |
| collection | DOAJ |
| description | Sharp, asymptotic estimates of classical and generalized rising/falling Pochhammer’s products having positive arguments are presented on the basis of Stirling’s approximation formula for the <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mo>Γ</mo></semantics></math></inline-formula> function. |
| format | Article |
| id | doaj-art-8fa60d64e471436b89bac4cf692bba8a |
| institution | DOAJ |
| issn | 2227-7390 |
| language | English |
| publishDate | 2025-02-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj-art-8fa60d64e471436b89bac4cf692bba8a2025-08-20T02:48:09ZengMDPI AGMathematics2227-73902025-02-0113350610.3390/math13030506Sharp Estimates of Pochhammer’s ProductsVito Lampret0Faculty of Civil and Geodetic Engineering, University of Ljubljana, 1000 Ljubljana, SloveniaSharp, asymptotic estimates of classical and generalized rising/falling Pochhammer’s products having positive arguments are presented on the basis of Stirling’s approximation formula for the <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mo>Γ</mo></semantics></math></inline-formula> function.https://www.mdpi.com/2227-7390/13/3/506approximationerrorestimategamma functioninequalityPochhammer’s product |
| spellingShingle | Vito Lampret Sharp Estimates of Pochhammer’s Products Mathematics approximation error estimate gamma function inequality Pochhammer’s product |
| title | Sharp Estimates of Pochhammer’s Products |
| title_full | Sharp Estimates of Pochhammer’s Products |
| title_fullStr | Sharp Estimates of Pochhammer’s Products |
| title_full_unstemmed | Sharp Estimates of Pochhammer’s Products |
| title_short | Sharp Estimates of Pochhammer’s Products |
| title_sort | sharp estimates of pochhammer s products |
| topic | approximation error estimate gamma function inequality Pochhammer’s product |
| url | https://www.mdpi.com/2227-7390/13/3/506 |
| work_keys_str_mv | AT vitolampret sharpestimatesofpochhammersproducts |