# Approximate Closed-Form Formulas for the Zeros of the Bessel Polynomials

@article{Campos2012ApproximateCF, title={Approximate Closed-Form Formulas for the Zeros of the Bessel Polynomials}, author={R. Campos and M. L. Calder{\'o}n}, journal={Int. J. Math. Math. Sci.}, year={2012}, volume={2012}, pages={873078:1-873078:10} }

We find approximate expressions and for the real and imaginary parts of the th zero of the Bessel polynomial . To obtain these closed-form formulas we use the fact that the points of well-defined curves in the complex plane are limit points of the zeros of the normalized Bessel polynomials. Thus, these zeros are first computed numerically through an implementation of the electrostatic interpretation formulas and then, a fit to the real and imaginary parts as functions of , and is obtained. It… CONTINUE READING

One Citation

Further Investigations on the Design of Radial Filters for the Driving Functions of Near-Field Compensated Higher-Order Ambisonics

- Engineering
- 2017

- 1
- Highly Influenced
- Open Access

#### References

##### Publications referenced by this paper.

SHOWING 1-10 OF 32 REFERENCES

Accurate computation of the zeros of the generalized Bessel polynomials

- Computer Science, Mathematics
- 2000

- 23

Electrostatic models for zeros of polynomials: Old, new, and some open problems

- Mathematics
- 2005

- 24
- Open Access

Linearization Coefficients of Bessel Polynomials and Properties of Student t-Distributions

- Mathematics
- 2008

- 14
- Open Access