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.
Similar content being viewed by others
References
Erdélyi, A., Magnus, W., Oberhettinger, F., Tricomi, F.G.: Tables of Integral Transforms, vol. I. McGraw-Hill Book Company, New York (1954)
Erdélyi, A., Magnus, W., Oberhettinger, F., Tricomi, F.G.: Tables of Integral Transforms, vol. II. McGraw-Hill Book Company, New York (1954)
Author information
Authors and Affiliations
Corresponding author
Additional information
Publisher's Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
About this article
Cite this article
Kumar, V. Theorems connecting Fourier sine transform and Hankel transform. SeMA 77, 219–225 (2020). https://doi.org/10.1007/s40324-020-00212-3
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s40324-020-00212-3