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On the Zeros of a Polynomial


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1 Department of Mathematics, I.I.T., Kharagpur-721302, India
     

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For a polynomial P(z)=Σajzj+zn, of degree n(≥3), with complex coefficients, where not all of the numbers a0, a1,...,an-s(s≥3), are equal to zero, a closed circular disc. where containing all its zeros has been obtained. The result is best possible and gives, in many cases, better upper bounds (for moduli of zeros of P(z)), than those obtainable by other results of similar type.
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  • On the Zeros of a Polynomial

Abstract Views: 218  |  PDF Views: 0

Authors

V. K. Jain
Department of Mathematics, I.I.T., Kharagpur-721302, India

Abstract


For a polynomial P(z)=Σajzj+zn, of degree n(≥3), with complex coefficients, where not all of the numbers a0, a1,...,an-s(s≥3), are equal to zero, a closed circular disc. where containing all its zeros has been obtained. The result is best possible and gives, in many cases, better upper bounds (for moduli of zeros of P(z)), than those obtainable by other results of similar type.