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Inequalities Involving the Derivative of Rational Functions With Prescribed Poles

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  • Preeti Gupta
  • Chong Lin

Abstract

This paper gives an upper bound of a modulus of the derivative of rational functions. rz=z−z0shz/wz∈Rm,n, where rz has exactly n poles a1,a2,⋯,an and all the zeros of rz lie in Dk∪Dk+,k≥1 except the zeros of order s at z0,z0

Suggested Citation

  • Preeti Gupta & Chong Lin, 2024. "Inequalities Involving the Derivative of Rational Functions With Prescribed Poles," Journal of Applied Mathematics, Hindawi, vol. 2024, pages 1-6, December.
    • Handle: RePEc:hin:jnljam:5189314
    DOI: 10.1155/2024/5189314
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