An entire function sharing a polynomial with its linear differential polynomial

Imrul Kaish; Md. Majibur Rahaman

Mathematica Bohemica (2018)

  • Volume: 143, Issue: 2, page 213-224
  • ISSN: 0862-7959

Abstract

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We study the uniqueness of entire functions which share a polynomial with their linear differential polynomials.

How to cite

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Kaish, Imrul, and Rahaman, Md. Majibur. "An entire function sharing a polynomial with its linear differential polynomial." Mathematica Bohemica 143.2 (2018): 213-224. <http://eudml.org/doc/294442>.

@article{Kaish2018,
abstract = {We study the uniqueness of entire functions which share a polynomial with their linear differential polynomials.},
author = {Kaish, Imrul, Rahaman, Md. Majibur},
journal = {Mathematica Bohemica},
keywords = {entire function; differential polynomial; derivative; sharing},
language = {eng},
number = {2},
pages = {213-224},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {An entire function sharing a polynomial with its linear differential polynomial},
url = {http://eudml.org/doc/294442},
volume = {143},
year = {2018},
}

TY - JOUR
AU - Kaish, Imrul
AU - Rahaman, Md. Majibur
TI - An entire function sharing a polynomial with its linear differential polynomial
JO - Mathematica Bohemica
PY - 2018
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 143
IS - 2
SP - 213
EP - 224
AB - We study the uniqueness of entire functions which share a polynomial with their linear differential polynomials.
LA - eng
KW - entire function; differential polynomial; derivative; sharing
UR - http://eudml.org/doc/294442
ER -

References

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  1. Hayman, W. K., Meromorphic Functions, Oxford Mathematical Monographs. Clarendon Press, Oxford (1964). (1964) Zbl0115.06203MR0164038
  2. Jank, G., Mues, E., Volkmann, L., Meromorphic functions which share some finite value with its first and second derivative, Complex Variables, Theory Appl. 6 (1986), 51-71 German. (1986) Zbl0603.30037MR0850534
  3. Lahiri, I., Kaish, I., 10.1007/s40574-016-0077-x, Boll. Unione Mat. Ital. 10 (2017), 229-240. (2017) Zbl06802157MR3655027DOI10.1007/s40574-016-0077-x
  4. Laine, I., Nevanlinna Theory and Complex Differential Equations, De Gruyter Studies in Mathematics 15. W. de Gruyter, Berlin (1992). (1992) Zbl0784.30002MR1207139
  5. Li, P., 10.2996/kmj/1138044096, Kodai Math. J. 22 (1999), 446-457. (1999) Zbl0985.30019MR1727304DOI10.2996/kmj/1138044096
  6. Yang, C.-C., Yi, H.-X., Uniqueness Theory of Meromorphic Functions, Mathematics and Its Applications 557. Kluwer Academic Publishers, Dordrecht; Science Press, Beijing (2003). (2003) Zbl1070.30011MR2105668
  7. Zhong, H. L., 10.2996/kmj/1138043421, Kodai Math. J. 18 (1995), 250-259. (1995) Zbl0840.30013MR1346904DOI10.2996/kmj/1138043421

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