Ozan, Ferihe AtalanKorkmaz, MustafaMathematics2024-10-062024-10-06201011300-00981303-6149[TRDIZIN-DOI-BELIRLENECEK-479]https://search.trdizin.gov.tr/en/yayin/detay/106217/number-of-pseudo-anosov-elements-in-the-mapping-class-group-of-a-four-holed-spherehttps://hdl.handle.net/20.500.14411/9657We compute the growth series and the growth functions of reducible and pseudo-Anosov elements of the pure mapping class group of the sphere with four holes with respect to a certain generating set. We prove that the ratio of the number of pseudo-Anosov elements to that of all elements in a ball with center at the identity tends to one as the radius of the ball tends to infinity.eninfo:eu-repo/semantics/openAccessMatematikArticleQ2Q2344585592106217