A new Kontorovich-Lebedev-like transformation
classification
🧮 math.CA
keywords
integralconvolutionkontorovich-lebedev-liketransformationapplicationbesselclasscomplex
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A different application of the familiar integral representation for the modifed Bessel function drives to a new Kontorovich-Lebedev-like integral transformation of a general complex index. Mapping and operational properties, a convolution operator and inversion formula are established. Solvability conditions and explicit solutions of the corresponding class of convolution integral equations are exhibited.
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