Extended Conformable K-Hypergeometric Function and Its Application
The extended conformable k-hypergeometric function finds various applications in physics due to its ability to describe complex mathematical relationships arising in different physical scenarios. Here are a few instances of its uses in physics, including nuclear physics, fluid dynamics, quantum mech...
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2024-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2024/5709319 |
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| _version_ | 1832559539137806336 |
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| author | Maham Abdul Qayyum Aya Mohammed Dhiaa Abid Mahboob Muhammad Waheed Rasheed Abdu Alameri |
| author_facet | Maham Abdul Qayyum Aya Mohammed Dhiaa Abid Mahboob Muhammad Waheed Rasheed Abdu Alameri |
| author_sort | Maham Abdul Qayyum |
| collection | DOAJ |
| description | The extended conformable k-hypergeometric function finds various applications in physics due to its ability to describe complex mathematical relationships arising in different physical scenarios. Here are a few instances of its uses in physics, including nuclear physics, fluid dynamics, quantum mechanics, and astronomy. The main objectives of this paper are to introduce the extended conformable k-hypergeometric and confluent hypergeometric functions by utilizing the new definition of the α,k-beta function and studying its important properties, like integral representation, summation formula, derivative formula, transform formula, and generating function. Also, introduce the extension of the Riemann–Liouville fractional derivative and establish some results related to the newly defined fractional operator, such as the Mellin transform and relations to extended α,k-hypergeometric functions. |
| format | Article |
| id | doaj-art-1f987718a90e409ea0d2e149cd9d24b0 |
| institution | Kabale University |
| issn | 1687-9139 |
| language | English |
| publishDate | 2024-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-1f987718a90e409ea0d2e149cd9d24b02025-02-03T01:29:49ZengWileyAdvances in Mathematical Physics1687-91392024-01-01202410.1155/2024/5709319Extended Conformable K-Hypergeometric Function and Its ApplicationMaham Abdul Qayyum0Aya Mohammed Dhiaa1Abid Mahboob2Muhammad Waheed Rasheed3Abdu Alameri4Department of Mathematics and StatisticsDepartment of PharmacyDepartment of MathematicsDepartment of MathematicsDepartment of Biomedical EngineeringThe extended conformable k-hypergeometric function finds various applications in physics due to its ability to describe complex mathematical relationships arising in different physical scenarios. Here are a few instances of its uses in physics, including nuclear physics, fluid dynamics, quantum mechanics, and astronomy. The main objectives of this paper are to introduce the extended conformable k-hypergeometric and confluent hypergeometric functions by utilizing the new definition of the α,k-beta function and studying its important properties, like integral representation, summation formula, derivative formula, transform formula, and generating function. Also, introduce the extension of the Riemann–Liouville fractional derivative and establish some results related to the newly defined fractional operator, such as the Mellin transform and relations to extended α,k-hypergeometric functions.http://dx.doi.org/10.1155/2024/5709319 |
| spellingShingle | Maham Abdul Qayyum Aya Mohammed Dhiaa Abid Mahboob Muhammad Waheed Rasheed Abdu Alameri Extended Conformable K-Hypergeometric Function and Its Application Advances in Mathematical Physics |
| title | Extended Conformable K-Hypergeometric Function and Its Application |
| title_full | Extended Conformable K-Hypergeometric Function and Its Application |
| title_fullStr | Extended Conformable K-Hypergeometric Function and Its Application |
| title_full_unstemmed | Extended Conformable K-Hypergeometric Function and Its Application |
| title_short | Extended Conformable K-Hypergeometric Function and Its Application |
| title_sort | extended conformable k hypergeometric function and its application |
| url | http://dx.doi.org/10.1155/2024/5709319 |
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