Abstract
The Peano derivatives are introduced for functions along an arc in the complex plane. Singular integrals of arbitrary order with singularities at its end-points are defined so that a unified theory for such integrals and Cauchy principal value integrals is established.
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Lu Jianke: born in Nov. 1922, Professor. Current research interest is in complex analysis.
Supported by the National Natural Science Foundation of China
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Jianke, L. Peano derivatives and singular integrals of arbitrary order. Wuhan Univ. J. of Nat. Sci. 1, 9–13 (1996). https://doi.org/10.1007/BF02827569
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DOI: https://doi.org/10.1007/BF02827569