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We give a pedagogical introduction to black holes (BHs) greybody factors(GFs) and quasinormal modes (QNMs) and share the recent developments on thosesubjects. In this study, our primary focus will be on the bosonic and fermionicGFs and QNMs of various BH and brane geometries and reveal the fingerprints ofthe invisibles with the radiation spectra to be obtained by the WKBapproximation and bounding the Bogoliubov coefficients (together with theMiller-Good transformation) methods. (*Due to the notification of arXiv "TheAbstract field cannot be longer than 1,920 characters", the appeared Abstractis shortened. For the full Abstract, please download the Article.)

Topical Review: Greybody Factors and Quasinormal Modes for Black Holes in Various Theories -- Fingerprints of Invisibles