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Theorems connecting Fourier sine transform and Hankel transform

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Abstract

In the present paper four theorems connecting Fourier sine transform and Hankel transform are established. The theorems are general in nature. As application four integrals involving special functions are obtained. It is obvious from the examples that we can evaluate integrals involving special functions with the help of the theorems established in this paper. Otherwise it is difficult to evaluate such type of integrals.

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References

  1. Erdélyi, A., Magnus, W., Oberhettinger, F., Tricomi, F.G.: Tables of Integral Transforms, vol. I. McGraw-Hill Book Company, New York (1954)

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  2. Erdélyi, A., Magnus, W., Oberhettinger, F., Tricomi, F.G.: Tables of Integral Transforms, vol. II. McGraw-Hill Book Company, New York (1954)

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Correspondence to Virendra Kumar.

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Kumar, V. Theorems connecting Fourier sine transform and Hankel transform. SeMA 77, 219–225 (2020). https://doi.org/10.1007/s40324-020-00212-3

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  • DOI: https://doi.org/10.1007/s40324-020-00212-3

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