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SHARED VALUES AND BOREL EXCEPTIONAL VALUES FOR HIGH ORDER DIFFERENCE OPERATORS

SHARED VALUES AND BOREL EXCEPTIONAL VALUES FOR HIGH ORDER DIFFERENCE OPERATORS

In this paper, we investigate the high order difference counterpart of <TEX>$Br{\ddot{u}}ck^{\prime}s$</TEX> conjecture, and we prove one result that for a transcendental entire function f of finite order, which has a Borel exceptional function a whose order is less than one, if <TEX>${\Delta}^nf$</TEX> and f share one small function d …