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On a Certain Nonlinear Differential Monomial Sharing a Nonzero Polynomial

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Ukrainian Mathematical Journal Aims and scope

With the idea of normal family, we study the uniqueness of meromorphic functions f and g in the case where fn(ℒ(f))m − p and gn(ℒ(g))m − p share two values; here, ℒ(f) = akf(k) + ak−1f(k−1) + . . .+a1f’ +a0f, ak(6= 0),ak−1, . . . ,a1,a0 ∈ ℂ, and p(z)(6≢ 0) is a polynomial. The obtained result significantly improves and generalizes the result obtained by A. Banerjee and S. Majumder in [Bol. Soc. Mat. Mex. (2016); https://doi.org/10.1007/s40590-016-0156-0].

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Authors and Affiliations

  1. Raiganj University, Raiganj, West Bengal, India

    S. Majumder

  2. North Bengal St. Xavier’s College, Balai Gachh, Rajganj, West Bengal, India

    A. Dam

Authors
  1. S. Majumder
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  2. A. Dam
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Correspondence to S. Majumder.

Additional information

Published in Ukrains’kyi Matematychnyi Zhurnal, Vol. 73, No. 2, pp. 201–221, February, 2021. Ukrainian DOI: 10.37863/umzh.v73i2.99.

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Majumder, S., Dam, A. On a Certain Nonlinear Differential Monomial Sharing a Nonzero Polynomial. Ukr Math J 73, 230–254 (2021). https://doi.org/10.1007/s11253-021-01919-w

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  • DOI: https://doi.org/10.1007/s11253-021-01919-w

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