Generating a New Convolution Function From Mittag-Leffler and Koebe Functions
This paper describes the generation of a new function using the convolution process for a Mittag-Leffler function of one parameter α and a Koebe function. The resulting function is characterized by many properties, the most important of which is that it is convergent. This paper finds many recursive...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2024-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/ijmm/6980453 |
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| _version_ | 1841560533096988672 |
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| author | Ali Halil Ghathith Ahmed Mohammed Ali Mohammed Thanoon Al-Neima |
| author_facet | Ali Halil Ghathith Ahmed Mohammed Ali Mohammed Thanoon Al-Neima |
| author_sort | Ali Halil Ghathith |
| collection | DOAJ |
| description | This paper describes the generation of a new function using the convolution process for a Mittag-Leffler function of one parameter α and a Koebe function. The resulting function is characterized by many properties, the most important of which is that it is convergent. This paper finds many recursive relations, finds functions that are difficult to find using the inverse Laplace transform by analytic and mathematic programs, and finds several special cases. In addition, new formulas for the resulting function are obtained after using operations known as multiplication with a variable or an exponential function, division, integration, and differentiation. |
| format | Article |
| id | doaj-art-0ba99d0f3b084af3bccd06ad5da02503 |
| institution | Kabale University |
| issn | 1687-0425 |
| language | English |
| publishDate | 2024-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-0ba99d0f3b084af3bccd06ad5da025032025-01-04T00:00:01ZengWileyInternational Journal of Mathematics and Mathematical Sciences1687-04252024-01-01202410.1155/ijmm/6980453Generating a New Convolution Function From Mittag-Leffler and Koebe FunctionsAli Halil Ghathith0Ahmed Mohammed Ali1Mohammed Thanoon Al-Neima2Department of MathematicsDepartment of MathematicsDepartment of Civil EngineeringThis paper describes the generation of a new function using the convolution process for a Mittag-Leffler function of one parameter α and a Koebe function. The resulting function is characterized by many properties, the most important of which is that it is convergent. This paper finds many recursive relations, finds functions that are difficult to find using the inverse Laplace transform by analytic and mathematic programs, and finds several special cases. In addition, new formulas for the resulting function are obtained after using operations known as multiplication with a variable or an exponential function, division, integration, and differentiation.http://dx.doi.org/10.1155/ijmm/6980453 |
| spellingShingle | Ali Halil Ghathith Ahmed Mohammed Ali Mohammed Thanoon Al-Neima Generating a New Convolution Function From Mittag-Leffler and Koebe Functions International Journal of Mathematics and Mathematical Sciences |
| title | Generating a New Convolution Function From Mittag-Leffler and Koebe Functions |
| title_full | Generating a New Convolution Function From Mittag-Leffler and Koebe Functions |
| title_fullStr | Generating a New Convolution Function From Mittag-Leffler and Koebe Functions |
| title_full_unstemmed | Generating a New Convolution Function From Mittag-Leffler and Koebe Functions |
| title_short | Generating a New Convolution Function From Mittag-Leffler and Koebe Functions |
| title_sort | generating a new convolution function from mittag leffler and koebe functions |
| url | http://dx.doi.org/10.1155/ijmm/6980453 |
| work_keys_str_mv | AT alihalilghathith generatinganewconvolutionfunctionfrommittaglefflerandkoebefunctions AT ahmedmohammedali generatinganewconvolutionfunctionfrommittaglefflerandkoebefunctions AT mohammedthanoonalneima generatinganewconvolutionfunctionfrommittaglefflerandkoebefunctions |