A further result related to Brück conjecture and linear differential polynomial

  • Shubhashish Das Bharat Sevak Samaj College

Abstract

In connection to the conjecture of R. Brück we improve a uniqueness problem for entire function that share a polynomial with linear differential polynomial.

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References

P. D. Barry, On a theorem of Kjellberg, Quart. J. Math. Oxford (2), 15(1964), 179-191.

R. Bruck, On entire functions which share one value CM with their first derivative, Result. Math., 30(1996), 21-24.

Z. X. Chen and K. H. Shon, On conjecture of R. Bruck concerning the entire function sharing one value CM with its derivative, Taiwanese J. Math., 8(2)(2004), 235-244.

Z. X. Chen and C. C. Yang, Some further results on the zeros and growths of entire solutions of second order linear differential equations, Kodai Math. J., 22(1999), 273-285.

G. G. Gundersen and L. Z. Yang, Entire functions that share one value with one or two of their derivatives, J. Math. Anal. Appl., 223(1998), 88-95.

I. Lahiri and S. Das, A note on a conjecture of R. Bruck, Appl. Math. E-Note., 21(2021), 152-156.

I. Laine, Nevanlinna Theory and Complex Differential Equations, De Gruyter, Berlin, New York (1993).

X. M. Li and H. X. Yi, Some results on the regular solutions of a linear differential equation, Comp. Math. Appl., 56(2008), 2210-2221.

Z. Mao, Uniqueness theorems on entire functions and their linear differential polynomials, Results Math., 55(2009), 447-456.

L. A. Rubel and C. C. Yang, Values shared by an entire function and its derivative, Lecture Notes in Math., Vol. 599, Springer-Verlag, Berlin (1977), 101-103.

J. P. Wang, Entire functions that share a polynomial with one of their derivatives, Kodai Math. J., 27(2004), 144-151.

L. Z. Yang, Solution of a differential equation and its applications, Kodai Math. J., 22(1999), 458-464.

Published
2025-05-28
Section
Research Articles