Odinary differential operators of odd order with distribution coefficients

We work with differential expressions of the form \begin{align} \tau_{2n+1} y &=(-1)^ni {(q_{0}y^{(n+1)})^{(n)}+(q_{0}y^{(n)})^{(n+1)}}+ \sum\limits_{k=0}^{n}(-1)^{n+k}(p^{(k)}ky^{(n-k)})^{(n-k)} \ &\qquad+i\sum\limits{k=1}^{n}(-1)^{n+k+1}{(q^{(k)}{k}y^{(n+1-k)})^{(n-k)}+ (q^{(k)}{k}y^{(n-k)})^{(n+1-k)}}, \end{align} where the complex valued coefficients $p_j$ and $q_j$ are subject the following conditions: $ q_0(x) \in AC_{loc}(a,b)$,$Re ,q_0>0$,whilealltheotherfunctions$$q_1(x),q_2(x),\dots ,q_n(x),p_0(x),p_1(x),\dots ,p_n(x)$$ belong to the space $L_{loc}^1(a,b)$. This implies that the coefficients $p_k^{(k)}$ and $q_k^{(k)}$ in the expression ${\tau }_{2n+1}$ are distributions of singularity order $k$. The main objective of the paper is to represent the differential expression ${\tau }_{2n+1}$ in the other (regularized) form which allows to define the minimal and maximal operators associated with this differential expression.