A Lambda Analogue of the Gamma Function and its Properties
We consider a generalization of the gamma function which we term as lambda analogue of the gamma function or $\lambda$-gamma function and further, we establish some of its accompanying properties. For the particular case when $\lambda=1$, the results established reduce to results involving the class...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Oles Honchar Dnipro National University
2022-12-01
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| Series: | Researches in Mathematics |
| Subjects: | |
| Online Access: | https://vestnmath.dnu.dp.ua/index.php/rim/article/view/391/391 |
| _version_ | 1797962898893438976 |
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| author | K. Nantomah I. Ege |
| author_facet | K. Nantomah I. Ege |
| author_sort | K. Nantomah |
| collection | DOAJ |
| description | We consider a generalization of the gamma function which we term as lambda analogue of the gamma function or $\lambda$-gamma function and further, we establish some of its accompanying properties. For the particular case when $\lambda=1$, the results established reduce to results involving the classical gamma function. The techniques employed in proving our results are analytical in nature. |
| first_indexed | 2024-04-11T01:19:58Z |
| format | Article |
| id | doaj.art-d63e423030cf4a19a641099f482699e2 |
| institution | Directory Open Access Journal |
| issn | 2664-4991 2664-5009 |
| language | English |
| last_indexed | 2024-04-11T01:19:58Z |
| publishDate | 2022-12-01 |
| publisher | Oles Honchar Dnipro National University |
| record_format | Article |
| series | Researches in Mathematics |
| spelling | doaj.art-d63e423030cf4a19a641099f482699e22023-01-03T13:57:37ZengOles Honchar Dnipro National UniversityResearches in Mathematics2664-49912664-50092022-12-01302182910.15421/242209A Lambda Analogue of the Gamma Function and its PropertiesK. Nantomah0I. Ege1C.K. Tedam University of Technology and Applied SciencesAydin Adnan Menderes UniversityWe consider a generalization of the gamma function which we term as lambda analogue of the gamma function or $\lambda$-gamma function and further, we establish some of its accompanying properties. For the particular case when $\lambda=1$, the results established reduce to results involving the classical gamma function. The techniques employed in proving our results are analytical in nature.https://vestnmath.dnu.dp.ua/index.php/rim/article/view/391/391gamma functionlambda analogue$\lambda$-gamma function$\lambda$-beta functionbohr-mollerup theoreminequality |
| spellingShingle | K. Nantomah I. Ege A Lambda Analogue of the Gamma Function and its Properties Researches in Mathematics gamma function lambda analogue $\lambda$-gamma function $\lambda$-beta function bohr-mollerup theorem inequality |
| title | A Lambda Analogue of the Gamma Function and its Properties |
| title_full | A Lambda Analogue of the Gamma Function and its Properties |
| title_fullStr | A Lambda Analogue of the Gamma Function and its Properties |
| title_full_unstemmed | A Lambda Analogue of the Gamma Function and its Properties |
| title_short | A Lambda Analogue of the Gamma Function and its Properties |
| title_sort | lambda analogue of the gamma function and its properties |
| topic | gamma function lambda analogue $\lambda$-gamma function $\lambda$-beta function bohr-mollerup theorem inequality |
| url | https://vestnmath.dnu.dp.ua/index.php/rim/article/view/391/391 |
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