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On the (P,Q) - Analog of the Bromwich Integral |
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PP: 23 - 28 |
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doi:10.18576/sjm/130201
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Author(s) |
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Akwaboah Vincent,
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Abstract |
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| This paper introduces and investigates the (p,q)-Analogue of the Bromwich integral providing a rigorous framework for the inversion of the (p,q)-Laplace transform. By utilizing the properties of (p,q)-Calculus and the Jackson integral, the complex inversion formula is derived and applied to fundamental (p,q)-functions including trigonometric and hyperbolic functions. The results in this paper demonstrate that the (p,q)-Bromwich integral acts as a bridge between continuous complex dynamics and discrete quantum states, offering a more generalized approach than the standard q-analogue.
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