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Certain fractional q-integrals and q-derivatives

Published online by Cambridge University Press:  24 October 2008

R. P. Agarwal
R. P. Agarwal
Affiliation:
West Virginia University
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Extract

In a recent paper Al-Salam(1) has denned a fractional q-integral operator by the basic integral

(1) Where α ≠ 0, −1, −2, …. Using the series definition of the basic integrals, (1·1) is written as

valid for all α

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 66 , Issue 2 , September 1969 , pp. 365 - 370
Copyright
Copyright © Cambridge Philosophical Society 1969

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References

REFERENCES

(1)Al-Salam, W. A.Some fractional q-integrals and q-derivatives. Proc. Edinburgh Math. Soc. 15 (1966), 135–140.Google Scholar
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