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- W1997445815 abstract "The solution $Q_lambda ^mu $ of the integral equation $xQ_lambda ^mu (x) = [{ (lambda - mu ) + mu f} ^ * Q_lambda ^mu ](x)$ is considered as a transform of the function f; f is a function of the real variable x, and $lambda $ and $mu $ are real-valued parameters with $lambda $ positive. The functions $Q_lambda ^mu [f]$ with f fixed form a group under the convolution operator. The functions $F_lambda ^mu (x) = Gamma (lambda )x^{1 - lambda } Q_lambda ^mu [f](x)$, occurring in elementary particle physics, exhibit properties, such as their analyticity and behavior at the origin and at infinity, similar to those of the input function $f(x)$. Besides several applications concerning hypergeometric functions, a table is presented giving various input functions f and their transforms $F_lambda ^mu $." @default.
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- W1997445815 date "1975-02-01" @default.
- W1997445815 modified "2023-09-26" @default.
- W1997445815 title "On the Solution of an Integral Equation of Convolution Type" @default.
- W1997445815 doi "https://doi.org/10.1137/0506021" @default.
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