An inversion formula for a kernel involving a Mellin-Barnes type integral
HTML articles powered by AMS MathViewer
- by R. K. Saxena PDF
- Proc. Amer. Math. Soc. 17 (1966), 771-779 Request permission
References
- V. M. Bhise, Inversion formulae for a generalised Laplace integral, Vikram—Quart. Res. J. Vikram Univ. 3 (1959), no. 3, 57–63. MR 365047
- A. Erdélyi, On some functional transformations, Univ. e Politec. Torino Rend. Sem. Mat. 10 (1951), 217–234. MR 47818 A. Erdélyi, et al, Higher transcendental functions, Vol. 1, McGraw-Hill, New York, 1953.
- Charles Fox, An inversion formula for the kernel $K_{v}\,(x)$, Proc. Cambridge Philos. Soc. 61 (1965), 457–467. MR 179554, DOI 10.1017/s0305004100004023
- Charles Fox, Integral transforms based upon fractional integration, Proc. Cambridge Philos. Soc. 59 (1963), 63–71. MR 147858, DOI 10.1017/s0305004100002000
- H. Kober, On fractional integrals and derivatives, Quart. J. Math. Oxford Ser. 11 (1940), 193–211. MR 3269, DOI 10.1093/qmath/os-11.1.193
- C. S. Meijer, Eine neue Erweiterung der Laplace-Transformation. I, Nederl. Akad. Wetensch., Proc. 44 (1941), 727–737 (German). MR 4647
- R. K. Saxena, An inversion formula for the Varma transform, Proc. Cambridge Philos. Soc. 62 (1966), 467–471. MR 196426, DOI 10.1017/s030500410004007x E. C. Titchmarsh, An introduction to the theory of Fourier integrals, Oxford, 1939.
- R. S. Varma, On a generalization of Laplace integral, Proc. Nat. Acad. Sci. India Sect. A 20 (1951), 209–216. MR 61697 H. Weyl, Vierteljschr. Naturforsch. Ges. Zürich 62 (1917), 296-302. E. T. Whittaker and G. N. Watson, A course of modern analysis, Cambridge, 1962.
Additional Information
- © Copyright 1966 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 17 (1966), 771-779
- MSC: Primary 44.33
- DOI: https://doi.org/10.1090/S0002-9939-1966-0196430-6
- MathSciNet review: 0196430