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Two integral transform pairs involving hypergeometric functions†

Published online by Cambridge University Press:  18 May 2009

Jet Wimp
Jet Wimp
Affiliation:
Midwest Research Institute, Kansas City 10, Missouri
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In this note, we first establish an integral transform pair where the kernel of each integral involves the Gaussian hypergeometric function. Special cases of Theorem 1 have been studied by several authors [1, 2, 5, 6]. In Theorem 2 a similar integral transform pair involving a confluent hypergeometric function is given.

Information

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 7 , Issue 1 , January 1965 , pp. 42 - 44
Copyright
Copyright © Glasgow Mathematical Journal Trust 1965

References

REFERENCES

1.Buschman, R. G., An inversion integral for a general Legendre transformation, S.I.A.M. Rev. 5 (1963), 232–233.Google Scholar
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6.Li, Ta, A new class of integral transforms, Proc. Amer. Math. Soc. 11 (1960), 290–298.CrossRefGoogle Scholar