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. |
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| 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] |
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| Database: | Engineering Source |
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