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Dergiler / Hacettepe Journal of Mathematics and Statistics / 2021 / Volume: 50 Issue: 6

Transcendental entire functions of finite order sharing two sets of small functions with their shift differential operators

Abhijit Banerjee(UNIVERSITY OF KALYANI)0000-0002-6160-7506
Arpıta Roy(UNIVERSITY OF KALYANI)0000-0002-4805-031X
Sayfa
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Yayın Tarihi
2021-12-14
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

We have exhibited several examples relevant to the content of the paper.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:Dealing with a question initiated by Liu [Meromorphic functions sharing a set with applications to difference equations, J.
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Temel Bulgular & Veri:Appl., 2009], we have investigated the situation when a finite order entire function and its shift differential operator share two sets of small functions.
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Sonuç & Katkı:We have exhibited several examples relevant to the content of the paper.
🔬Tür:Research Article
📍Kapsam:2009 Verileri
⚙️Değişkenler:Entire functions · small function · uniqueness

Abstract

Dealing with a question initiated by Liu [Meromorphic functions sharing a set with applications to difference equations, J. Math. Anal. Appl., 2009], we have investigated the situation when a finite order entire function and its shift differential operator share two sets of small functions. Our result has improved and extended the results of Chen-Chen [Entire functions sharing sets of small functions with their difference operators or shifts, Math. Slovaca, 2013] and Cui-Chen [The conjecture on unity of meromorphic functions concerning their differences, J. Difference Equ. Appl., 2016]. We have exhibited several examples relevant to the content of the paper.

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Bu Makaleye Atıf Yap

Banerjee, A., Roy, A. (2021). Transcendental entire functions of finite order sharing two sets of small functions with their shift differential operators. Hacettepe Journal of Mathematics and Statistics, Volume: 50 Issue: 6. https://doi.org/10.15672/hujms.785797

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Kaynakça (9)

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  2. B. Chen and Z.X. Chen, Entire functions sharing sets of small functions with their difference operators or shifts, Math. Slovaca, 63 (6), 1233–1246, 2013.
  3. N. Cui and Z.X. Chen, The conjecture on unity of meromorphic functions concerning their differences, J. Difference Equ. Appl. 22 (10),1452–1471, 2016.
  4. R.G. Halburd and R.J. Korhonen, Difference analogue of the lemma on the logarithmic derivative with applications to difference equations, J. Math. Anal. Appl. 314, 477– 487, 2006.
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  6. I. Laine and C.C. Yang, Clunie theorems for difference and q-difference polynomials, J. London Math. Soc. 76 (3), 556–566, 2007.
  7. K. Liu, Meromorphic functions sharing a set with applications to difference equations, J. Math. Anal. Appl. 359, 384–393, 2009.
  8. L. Yang, Value distribution theory, Springer, New York, 1993.
  9. C.C. Yang and H.X. Yi, Uniqueness theory of meromorphic functions, Kluwer Aca- demic Publishers, Dordrecht, 2003.