Entire function sharing two pairs of small functions with its difference operator

P. Sahoo, S. Pal

In this paper, we establish a linear relationship between an entire function and its difference operator when they share one pair of small functions counting multiplicities and another pair of small functions ignoring multiplicities. The result of the paper improves and generalizes some existing results. Examples have also been given in support of the existence of the result and the sharpness of some conditions involved in the theorem. 

Advanced Studies: Euro-Tbilisi Mathematical Journal, Vol. 19(1) (2026), pp. 217-232