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We present an extended study of inflationary models that inflaton field isnon-minimally coupled with gravity. We study parameters space of the models upto the second (and in some cases third) order of the slow-roll parameters forusual large field potentials in Jordan and Einstein frames that are connectedeach other by conformal transformation. We calculate inflationary parametersand the results are compared in both frames and also with observations. Byusing the recent observational datasets, we present a discussion in order toclarify the physical frame between Jordan and Einstein frames. Also, somesuggestions are expressed in order to navigate us for the future works.

A Revision to the Issue of Frames by Non-minimal Large Field Inflation