On Formulas of Bertrand-Poincaré Type Related to Singular Integrals of High Order |
Received:April 18, 1982 |
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Abstract: |
In this note, the well-known Bertrand-Poincaré formula for changing order of integration related to singular intergrals with Cauchy kernel has been extended to some cases related to singular integrals of high order. The main results are Theorem 1 to Theorem 3, in which Theorem 1 had already been obtained in literature[5] but both its statement and its proof used here are new and simpler. |
Citation: |
DOI:10.3770/j.issn:1000-341X.1984.04.008 |
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