We study the deficiencies of differential-difference polynomials. These results can be regarded as differential-difference analogs of some classical theorems on differential polynomials. In particular, an exact estimate of the deficiency is presented for some differential-difference polynomials. We also give examples showing that these results are best possible in a certain sense.
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Published in Ukrains’kyi Matematychnyi Zhurnal, Vol. 70, No. 4, pp. 471–480, April, 2018.
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Zhang, R.R. Value Distribution of Differential-Difference Polynomials of Meromorphic Functions. Ukr Math J 70, 540–551 (2018). https://doi.org/10.1007/s11253-018-1515-y
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DOI: https://doi.org/10.1007/s11253-018-1515-y