Enabling the relationship between the polynomial degree of the denaminator of Pearson differantial equation and the number of i̇nflextion points of density function which appears through that degree by polinom

İn statistics, the datas on our hands indicate a frequency distribution when they are grouped. This frequency distribution can exist on a certain curve. İf this curve is showed as a mathematical curve, the frequency distribution can easily fixed. The most widespread type of curve giving this frequency distribution is Pearson type curves with different twelve types. İn this work, orthogonal polynomials associated with Pearson Type curves satisfying Pearson differantial equation as a weight function carry a special weight with orthogonal polynomial systems on suitable intervals.By expressing relation between Pearson Type curves and polynomials, the relation with number of the inflextion point of curves is constituted on the polynomial.