Partial sharing of small functions with exact difference

Authors

  • Audrija Choudhury University if Calcutta, Ballygunge Circular Rd, Ballygunge, Kolkata, West Bengal 700019.
  • Rupa Pal Bethune College, 181, Bidhan Sarani Rd, Manicktala, Azad Hind Bag, Kolkata, West Bengal 700006

DOI:

https://doi.org/10.23755/rm.v51i0.1458

Keywords:

Meromorphic functions, difference polynomials, partial sharing

Abstract

We have proven certain uniqueness results related owing to the partial sharing of small functions of $f$ with difference polynomials of the form $L(f)=b_k(z)f(z+kc)+\ldots +b_0(z)f(z)$, where $b_i$ are small functions of $f$.  As a consequence of this, we have deduced the conditions under which, $f$ is identically equal to its exact difference operator $\Delta_c^k f$.

Author Biographies

  • Audrija Choudhury, University if Calcutta, Ballygunge Circular Rd, Ballygunge, Kolkata, West Bengal 700019.
    Research Scholar, Department of Pure Mathematics.
  • Rupa Pal, Bethune College, 181, Bidhan Sarani Rd, Manicktala, Azad Hind Bag, Kolkata, West Bengal 700006
    Assistant Professor, Department of Mathematics

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Published

2024-03-01

Issue

Vol. 51 (2024)

Section

Volume 51-2024

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