where is the gamma function, is a hypergeometric function, where denotes the truncated power function. Note the lower limit of 0, not as implied in Samko et al. (1993, p. 23, eqn. 1.101).
Love Transform
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References
Samko, S. G.; Kilbas, A. A.; and Marichev, O. I. Fractional Integrals and Derivatives. Yverdon, Switzerland: Gordon and Breach, p. 23, 1993.Referenced on Wolfram|Alpha
Love TransformCite this as:
Weisstein, Eric W. "Love Transform." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/LoveTransform.html