Hahn Laplace transform and its applications
Like qq-calculus, Hahn calculus (or q,ωq,\omega -calculus) is constructed by defining a difference derivative operator and an integral operator. The q,ωq,\omega -analogs of the integral representations of the Laplace transform and related special functions, such as gamma and beta, are proposed in th...
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| Format: | Article |
| Language: | English |
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De Gruyter
2023-10-01
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| Series: | Demonstratio Mathematica |
| Subjects: | |
| Online Access: | https://doi.org/10.1515/dema-2023-0259 |
| _version_ | 1797660987643396096 |
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| author | Hıra Fatma |
| author_facet | Hıra Fatma |
| author_sort | Hıra Fatma |
| collection | DOAJ |
| description | Like qq-calculus, Hahn calculus (or q,ωq,\omega -calculus) is constructed by defining a difference derivative operator and an integral operator. The q,ωq,\omega -analogs of the integral representations of the Laplace transform and related special functions, such as gamma and beta, are proposed in this article. Then, some basic properties similar to classical and qq-analogs are investigated. Finally, a few examples are given to solve q,ωq,\omega -initial value problems via the newly introduced q,ωq,\omega -Laplace transform. |
| first_indexed | 2024-03-11T18:38:54Z |
| format | Article |
| id | doaj.art-899559fb01c14d50822d87b00cd1c7c6 |
| institution | Directory Open Access Journal |
| issn | 2391-4661 |
| language | English |
| last_indexed | 2024-03-11T18:38:54Z |
| publishDate | 2023-10-01 |
| publisher | De Gruyter |
| record_format | Article |
| series | Demonstratio Mathematica |
| spelling | doaj.art-899559fb01c14d50822d87b00cd1c7c62023-10-12T14:06:36ZengDe GruyterDemonstratio Mathematica2391-46612023-10-01561819910.1515/dema-2023-0259Hahn Laplace transform and its applicationsHıra Fatma0Department of Mathematics, Faculty of Science, Ondokuz Mayiis University, Samsun, TurkeyLike qq-calculus, Hahn calculus (or q,ωq,\omega -calculus) is constructed by defining a difference derivative operator and an integral operator. The q,ωq,\omega -analogs of the integral representations of the Laplace transform and related special functions, such as gamma and beta, are proposed in this article. Then, some basic properties similar to classical and qq-analogs are investigated. Finally, a few examples are given to solve q,ωq,\omega -initial value problems via the newly introduced q,ωq,\omega -Laplace transform.https://doi.org/10.1515/dema-2023-0259q, ω-gamma functionq, ω-beta functionq, ω-laplace transformq, ω-differential equationshahn calculusq-calculus33d0505a3044a1039a70 |
| spellingShingle | Hıra Fatma Hahn Laplace transform and its applications Demonstratio Mathematica q, ω-gamma function q, ω-beta function q, ω-laplace transform q, ω-differential equations hahn calculus q-calculus 33d05 05a30 44a10 39a70 |
| title | Hahn Laplace transform and its applications |
| title_full | Hahn Laplace transform and its applications |
| title_fullStr | Hahn Laplace transform and its applications |
| title_full_unstemmed | Hahn Laplace transform and its applications |
| title_short | Hahn Laplace transform and its applications |
| title_sort | hahn laplace transform and its applications |
| topic | q, ω-gamma function q, ω-beta function q, ω-laplace transform q, ω-differential equations hahn calculus q-calculus 33d05 05a30 44a10 39a70 |
| url | https://doi.org/10.1515/dema-2023-0259 |
| work_keys_str_mv | AT hırafatma hahnlaplacetransformanditsapplications |