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Two integral transform pairs involving hypergeometric functions

Published online by Cambridge University Press:  18 May 2009

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.

Type
Research Article
Copyright
Copyright © Glasgow Mathematical Journal Trust 1965

References

REFERENCES

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