Quantum Extensions of Widder's Formula via q‐Deformed Calculus.
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| Title: | Quantum Extensions of Widder's Formula via q‐Deformed Calculus. |
|---|---|
| Authors: | Naina Mohammed, S. S.1 (AUTHOR), Jeevanandham, K.2 (AUTHOR), Ramalingam, A.1 (AUTHOR), Maheswari, R.3 (AUTHOR), Dhandapani, Prasantha Bharathi3 (AUTHOR), Nalule, Rebecca Muhumuza4 (AUTHOR) rnalule.sci@busitema.ac.ug, Boomipalagan, Kaviarasan (AUTHOR) kaviarab@srmist.edu.in |
| Source: | Journal of Applied Mathematics. 11/27/2025, Vol. 2025, p1-10. 10p. |
| Subjects: | Quantum calculus, Mathematical formulas, Integrals |
| Abstract: | In this study, we rigorously established q‐Widder's formula of first and second kind by employing the q‐integral within a quantum calculus framework. Our approach introduces a novel formulation of the inverse q‐Laplace transform, enabling simplified computation without relying on conventional complex integration methods. Several illustrative problems are solved to demonstrate the effectiveness of the proposed method. The results contribute to the theoretical foundation of q‐calculus and have potential applications in areas such as q‐quantum mechanics and the analysis of q‐special functions. [ABSTRACT FROM AUTHOR] |
| Copyright of Journal of Applied Mathematics is the property of Wiley-Blackwell and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) | |
| Database: | Engineering Source |
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| Header | DbId: egs DbLabel: Engineering Source An: 189657253 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
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| RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.1155/jama/5525705 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 10 StartPage: 1 Subjects: – SubjectFull: Quantum calculus Type: general – SubjectFull: Mathematical formulas Type: general – SubjectFull: Integrals Type: general Titles: – TitleFull: Quantum Extensions of Widder's Formula via q‐Deformed Calculus. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Naina Mohammed, S. S. – PersonEntity: Name: NameFull: Jeevanandham, K. – PersonEntity: Name: NameFull: Ramalingam, A. – PersonEntity: Name: NameFull: Maheswari, R. – PersonEntity: Name: NameFull: Dhandapani, Prasantha Bharathi – PersonEntity: Name: NameFull: Nalule, Rebecca Muhumuza – PersonEntity: Name: NameFull: Boomipalagan, Kaviarasan IsPartOfRelationships: – BibEntity: Dates: – D: 27 M: 11 Text: 11/27/2025 Type: published Y: 2025 Identifiers: – Type: issn-print Value: 1110757X Numbering: – Type: volume Value: 2025 Titles: – TitleFull: Journal of Applied Mathematics Type: main |
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