Hostname: page-component-848d4c4894-4hhp2 Total loading time: 0 Render date: 2024-06-02T11:32:33.799Z Has data issue: false hasContentIssue false

Application of Δ and E operators to evaluate certain integrals

Published online by Cambridge University Press:  24 October 2008

B. M. Agrawal
Affiliation:
Government Science College, Gwalior M.P., India

Extract

In a recent paper Ragab and Simary (6) have deduced some integrals involving the products of generalized Whittaker functions. We feel that some of the integrals are not correctly evaluated. Indeed the integral (2) should be symmetrical in α and β, as we see by changing the variables by s = − t in the integral, while it is not symmetrical. A similar remark will follow in the case of the integrals (3) and (6).

Type
Research Article
Copyright
Copyright © Cambridge Philosophical Society 1968

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)Bateman, Project.Table of integral transforms, vol. II (New York, 1954).Google Scholar
(2)Project, Bateman. Higher transcendental functions, vol. I (New York, 1953).Google Scholar
(3)Bhonsle, B. R.On some results involving Jacobi Polynomials. J. Indian Math. Soc. 26 (1962), 187190.Google Scholar
(4)Carslaw, H. S.Introduction to the theory of Fourier's series and integrals, third edition (Dover).Google Scholar
(5)Ragab, F. M. and Simary, M. A.Integrals involving the products of generalised Wittaker functions. Proc. Cambridge Philos. Soc. 61 (1965), 429432.Google Scholar
(6)Love, E. R.Franz Neumann's Integral of 1948. Proc. Cambridge Philos. Soc. 61 (1965), 445456.Google Scholar
(7)Toscano, L.I polinomi ipergeometrici nel calcolo delle differenze finite. Boll. Un. Mat. Italia. (3) 4 (1949), 398409.Google Scholar