English: So, what is interesting here that (z−z₀)^(m) when m is a non-negative number, so m is greater than equal to 0, this is analytic because there is no point where the function has any problem for getting its derivative.
Telugu: ఇక్కడ ఆసక్తికరమైన విషయం (z−z₀)^(m) అన్నమాట, m అన్నది పాజిటివ్ నెంబర్ అనగా >= 0 .