We propose and implement a quasi-discrete Hankel transform algorithm based on Dini series expansion (DQDHT)in this paper. By making use of the property that the zero-order Bessel function derivative J'_0(0)=0,the DQDHT can be used to calculate the values on the symmetry axis directly. In addition,except for the truncated treatment of the input function,no other approximation is made,thus the DQDHT satisfies the discrete Parseval theorem for energy conservation,implying that it has a high numerical accuracy. Further,we have performed several numerical tests. The test results show that the DQDHT...
