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Zbl 1141.33002
Varlamov, Vladimir
Fractional derivatives of products of Airy functions. (English)
[J] J. Math. Anal. Appl. 337, No. 1, 667-685 (2008). ISSN 0022-247X

In the present paper the author has investigated fractional derivatives of two products of Airy functions first kind and second kind. He has also proved the Wronskian $W(x)$ of the system of integral of order half and its Hilbert transform $\overline W(x)= -HW(x)$ are special functions. In the last he has established some integral relations. The work is good.
[Rashmi Jain (Jaipur)]
MSC 2000:
*33C10 Cylinder functions, etc.
26A33 Fractional derivatives and integrals (real functions)

Keywords: products of Airy functions; fractional derivatives; Hilbert transform

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