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Uniqueness of entire functions whose difference polynomials share a polynomial with finite weight

  • Autores: Goutam Haldar
  • Localización: Cubo: A Mathematical Journal, ISSN 0716-7776, ISSN-e 0719-0646, Vol. 24, Nº. 1, 2022, págs. 167-186
  • Idioma: inglés
  • DOI: 10.4067/S0719-06462022000100167
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  • Resumen
    • español

      RESUMEN En este artículo, usamos el concepto de intercambio pesado de valores para investigar los resultados de unicidad cuando dos polinomios de diferencia de funciones enteras comparten un polinomio no cero con peso finito. Nuestro resultado mejora y extiende algunos resultados de Sahoo-Karmakar [J. Cont. Math. Anal. 52(2) (2017), 102-110] y los de Li et al. [Bull. Malays. Math. Sci. Soc., 39 (2016), 499-515]. Se exhiben algunos ejemplos que son relevantes para el contenido del artículo.

    • English

      ABSTRACT In this paper, we use the concept of weighted sharing of values to investigate the uniqueness results when two difference polynomials of entire functions share a nonzero polynomial with finite weight. Our result improves and extends some recent results due to Sahoo-Karmakar [J. Cont. Math. Anal. 52(2) (2017), 102-110] and that of Li et al. [Bull. Malays. Math. Sci. Soc., 39 (2016), 499-515]. Some examples have been exhibited which are relevant to the content of the paper.

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