Uniqueness of q -shift difference polynomials of meromorphic functions sharing a small function

Renukadevi S. Dyavanal; Rajalaxmi V. Desai

Mathematica Bohemica (2020)

  • Volume: 145, Issue: 3, page 241-253
  • ISSN: 0862-7959

Abstract

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We investigate the uniqueness of a q -shift difference polynomial of meromorphic functions sharing a small function which extend the results of N. V. Thin (2017) to q -difference operators.

How to cite

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Dyavanal, Renukadevi S., and Desai, Rajalaxmi V.. "Uniqueness of $q$-shift difference polynomials of meromorphic functions sharing a small function." Mathematica Bohemica 145.3 (2020): 241-253. <http://eudml.org/doc/297361>.

@article{Dyavanal2020,
abstract = {We investigate the uniqueness of a $q$-shift difference polynomial of meromorphic functions sharing a small function which extend the results of N. V. Thin (2017) to $q$-difference operators.},
author = {Dyavanal, Renukadevi S., Desai, Rajalaxmi V.},
journal = {Mathematica Bohemica},
keywords = {Nevanlinna theory; meromorphic function; $q$-shift difference polynomial; uniqueness},
language = {eng},
number = {3},
pages = {241-253},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Uniqueness of $q$-shift difference polynomials of meromorphic functions sharing a small function},
url = {http://eudml.org/doc/297361},
volume = {145},
year = {2020},
}

TY - JOUR
AU - Dyavanal, Renukadevi S.
AU - Desai, Rajalaxmi V.
TI - Uniqueness of $q$-shift difference polynomials of meromorphic functions sharing a small function
JO - Mathematica Bohemica
PY - 2020
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 145
IS - 3
SP - 241
EP - 253
AB - We investigate the uniqueness of a $q$-shift difference polynomial of meromorphic functions sharing a small function which extend the results of N. V. Thin (2017) to $q$-difference operators.
LA - eng
KW - Nevanlinna theory; meromorphic function; $q$-shift difference polynomial; uniqueness
UR - http://eudml.org/doc/297361
ER -

References

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  1. Dyavanal, R. S., Desai, R. V., Uniqueness of q -difference and differential polynomials of entire functions, Math. Sci. Int. Research J. 4 (2015), 267-271. (2015) 
  2. Dyavanal, R. S., Desai, R. V., 10.17654/FJAMJun2015_189_202, Far East J. Appl. Math. 91 (2015), 189-202. (2015) Zbl1332.30049DOI10.17654/FJAMJun2015_189_202
  3. Dyavanal, R. S., Desai, R. V., Uniqueness of product of difference polynomials of meromorphic functions sharing fixed point with finite weight, Glob. J. Pure Appl. Math. 14 (2018), 331-346. (2018) MR3889312
  4. Dyavanal, R. S., Hattikal, A. M., Weighted sharing of difference-differential polynomials of entire functions, Math. Sci. Int. Research J. 4 (2015), 276-280. (2015) 
  5. Dyavanal, R. S., Hattikal, A. M., 10.17654/FJMSOct2015_293_313, Far East J. Math. Sci. (FJMS) 98 (2015), 293-313. (2015) Zbl1336.30049DOI10.17654/FJMSOct2015_293_313
  6. Dyavanal, R. S., Hattikal, A. M., On the uniqueness of product of difference polynomials of meromorphic functions, Konuralp J. Math. 4 (2016), 42-55. (2016) Zbl1355.30029MR3571505
  7. Dyavanal, R. S., Hattikal, A. M., Unicity theorems on difference polynomials of meromorphic functions sharing one value, Int. J. Pure Appl. Math. Sci. 9 (2016), 89-97. (2016) 
  8. Dyavanal, R. S., Hattikal, A. M., 10.20852/ntmsci.2017.144, New Trends Math. Sci. 5 (2017), 250-263. (2017) MR3681536DOI10.20852/ntmsci.2017.144
  9. Hayman, W. K., Meromorphic Functions, Oxford Mathematical Monographs. Clarendon Press, Oxford (1964). (1964) Zbl0115.06203MR0164038
  10. Lin, W.-C., Yi, H.-X., Uniqueness theorems for meromorphic function, Indian J. Pure Appl. Math. 35 (2004), 121-132. (2004) Zbl1056.30031MR2040726
  11. Liu, K., Qi, X.-G., 10.4064/ap101-3-2, Ann. Pol. Math. 101 (2011), 215-225. (2011) Zbl1235.30023MR2799584DOI10.4064/ap101-3-2
  12. Thin, N. V., Uniqueness of meromorphic functions and Q -differential polynomials sharing small functions, Bull. Iran. Math. Soc. 43 (2017), 629-647. (2017) Zbl1405.30032MR3670885
  13. Xu, J., Zhang, X., 10.1186/1687-1847-2012-200, Adv. Difference Equ. 2012 (2012), Paper No. 200, 10 pages. (2012) Zbl1377.30029MR3016706DOI10.1186/1687-1847-2012-200
  14. Yang, C. C., Yi, H. X., Uniqueness Theory of Meromorphic Functions, Mathematics and Its Applications 557. Kluwer Academic Publishers, Dordrecht (2003). (2003) Zbl1070.30011MR2105668
  15. Yang, L., 10.1007/978-3-662-02915-2, Springer, Berlin; Science Press, Beijing (1993). (1993) Zbl0790.30018MR1301781DOI10.1007/978-3-662-02915-2
  16. Zhang, X., 10.1007/s11464-012-0172-y, Front. Math. China 7 (2012), 161-176. (2012) Zbl1267.30084MR2876905DOI10.1007/s11464-012-0172-y
  17. Zhao, Q., Zhang, J., 10.3103/S1068362315020028, J. Contemp. Math. Anal., Armen. Acad. Sci. 50 (2015), 63-69. (2015) Zbl1336.30056MR3444037DOI10.3103/S1068362315020028

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