Research article

On second-order differential subordination for certain meromorphically multivalent functions

  • Received: 18 April 2020 Accepted: 22 May 2020 Published: 09 June 2020
  • MSC : Primary 30C45; Secondary 30C80

  • A new class $\mathcal{R}_n(A, B, \lambda)$ of meromorphically multivalent functions defined by the second-order differential subordination is introduced. Several geometric properties of this new class are studied. The sharp upper bound on $|z| = r < 1$ for the functional $\mathrm{Re}\{(\lambda-1)z^{p+1}f'(z)+\frac{\lambda}{p+1}z^{p+2}f''(z)\}$ over the class $\mathcal{R}_n(A, B, 0)$ is obtained.

    Citation: Cai-Mei Yan, Jin-Lin Liu. On second-order differential subordination for certain meromorphically multivalent functions[J]. AIMS Mathematics, 2020, 5(5): 4995-5003. doi: 10.3934/math.2020320

    Related Papers:

  • A new class $\mathcal{R}_n(A, B, \lambda)$ of meromorphically multivalent functions defined by the second-order differential subordination is introduced. Several geometric properties of this new class are studied. The sharp upper bound on $|z| = r < 1$ for the functional $\mathrm{Re}\{(\lambda-1)z^{p+1}f'(z)+\frac{\lambda}{p+1}z^{p+2}f''(z)\}$ over the class $\mathcal{R}_n(A, B, 0)$ is obtained.


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