Atalan, FeriheKorkmaz, MustafaMathematics2024-07-052024-07-0520101300-00981303-614910.3906/mat-0901-382-s2.0-77958517970https://doi.org/10.3906/mat-0901-38https://hdl.handle.net/20.500.14411/1519Atalan, Ferihe/0000-0001-6547-0570We 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 infinityeninfo:eu-repo/semantics/openAccessMapping class groupgrowth seriesgrowth functionsArticleQ2Q2344585592WOS:0002844352000135