Hostname: page-component-cd9895bd7-lnqnp Total loading time: 0 Render date: 2024-12-26T01:34:54.288Z Has data issue: false hasContentIssue false

A ǵeneralization of the Meijer transform

Published online by Cambridge University Press:  24 October 2008

R. N. Pandey
Affiliation:
Institute of Technology, Banaras Hindu University, Varanasi (U.P.), India

Abstract

In this paper a new generalization of the Meijer transform is given. It also generalizes the Mainra transform and the transform due to Varma. An inversion theorem is established and the result obtained has been illustrated by several examples.

Type
Research Article
Copyright
Copyright © Cambridge Philosophical Society 1970

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

(1)Bromwich, T. J. Ta.An introduction to the theory of infinite series (London, 1931)Google Scholar
(2)Busbridge, I. W.On the integro-exponential function and the integration of some integrals involving it. Quart. J. Math. Oxford Ser. (2), 1 (1950), 176184.CrossRefGoogle Scholar
(3)Erde'lyi, A.Tables of integral transforms, vol. II (New York, 1954).Google Scholar
(4)Fox, C.The G and H-functions as symmetrical Fourier kernels. Trans. Amer. Math. Soc. 98 (1961), 395429.Google Scholar
(5)Mainra, V. P.A new generalization of the Laplace transform. Bull. Calcutta Math. Soc. 53 (1961), 2331.Google Scholar
(6)Meijer, C. S.Eine nene Erweiterung der Laplace Transformation. Nederl. Akad. Wetench. Proc. Series A, 44 (1941), 727739.Google Scholar
(7)Pandey, R. N. Thesis on A study of generalization of the Laplace transform, approved for Ph.D. degree of the Banaras Hindu University in the year 1964.Google Scholar
(8)Saxena, K. M.Inversion formulae for a generalized Laplace integral. Proc. Nat. Inst. Sci. India Sect. A, 26 (1953), 400413.Google Scholar
(9)Sharma, O. P.Relation between Whittaker and generalized Hankel transforms. Proc. Nat. Acad. Sci., India Sect. A, 37, (1967), 97108.Google Scholar
(10)Varma, R. S.On a generalization of the Laplace integral. Proc. Nat. Acad. Sci., India Sect. A, 20 (1951), 209216.Google Scholar