- 期刊
- OpenAccess
Number of Zeros of a Polynomial in a Given Domain
並列摘要
In this paper, we obtain results concerning the bound for the number of zeros for the polynomial p(z) which generalize earlier well-known result due to Bidkham and Dewan [On the zeros of a polynomial, Numerical Methods and Approximation Theory III, Nis (1987), 121-128] and Mohammad [On the zeros of polynomials, Amer. Math. Monthly, 72 (1965), 631-633]. We also obtain result for location of zeros of polynomial p(z)= ∑(superscript m subscript i=0) (a(subscript i)/(i!)(superscript λ)z(superscript i))+a(subscript n)z(superscript n), a(subscript n)≠0, 0≤m≤n−1,λ≥0.
並列關鍵字
無資料延伸閱讀
- Farrell, E. J. (1981). A GENERALIZATION OF THE DICHROMATIC POLYNOMIAL OF A GRAPH. International Journal of Mathematics and Mathematical Sciences, 1981(), 725-729. https://doi.org/10.1155/S0161171281000550
- Xu, J. F., & Zhang, X. B. (2012). The Zeros of Difference Polynomials of Meromorphic Functions. Abstract and Applied Analysis, 2012(), 523-535-233. https://doi.org/10.1155/2012/357203
- Paul, K., & Bag, S. (2012). On Numerical Radius of a Matrix and Estimation of Bounds for Zeros of a Polynomial. International Journal of Mathematics and Mathematical Sciences, 2012(), 134-148-008. https://doi.org/10.1155/2012/129132
- SIMEONOV, P. (2003). ZERO DISTRIBUTION OF SEQUENCES OF CLASSICAL ORTHOGONAL POLYNOMIALS. Abstract and Applied Analysis, 2003(), 985-993. https://doi.org/10.1155/S1085337503306347
- Zargar, B. A. (2016). On the Distribution of the Zeros of Lacunary type Polynomials. IRA-International Journal of Applied Sciences, 3(3), 402-409. https://doi.org/10.21013/jas.v3.n3.p10