Geodesic
Uniqueness of $q$-shift difference polynomials of meromorphic functions sharing a small function
Mathematica Bohemica, Tome 145 (2020) no. 3, pp. 241-253
Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

Voir la notice de l'article

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.
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.
DOI : 10.21136/MB.2019.0093-18
Classification : 30D35
Keywords: Nevanlinna theory; meromorphic function; $q$-shift difference polynomial; uniqueness 
@article{10_21136_MB_2019_0093_18,
     author = {Dyavanal, Renukadevi S. and Desai, Rajalaxmi V.},
     title = {Uniqueness of $q$-shift difference polynomials of meromorphic functions sharing a small function},
     journal = {Mathematica Bohemica},
     pages = {241--253},
     year = {2020},
     volume = {145},
     number = {3},
     doi = {10.21136/MB.2019.0093-18},
     mrnumber = {4221832},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.21136/MB.2019.0093-18/}
}
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
SP  - 241
EP  - 253
VL  - 145
IS  - 3
UR  - http://geodesic.mathdoc.fr/articles/10.21136/MB.2019.0093-18/
DO  - 10.21136/MB.2019.0093-18
LA  - en
ID  - 10_21136_MB_2019_0093_18
ER  - 
%0 Journal Article
%A Dyavanal, Renukadevi S.
%A Desai, Rajalaxmi V.
%T Uniqueness of $q$-shift difference polynomials of meromorphic functions sharing a small function
%J Mathematica Bohemica
%D 2020
%P 241-253
%V 145
%N 3
%U http://geodesic.mathdoc.fr/articles/10.21136/MB.2019.0093-18/
%R 10.21136/MB.2019.0093-18
%G en
%F 10_21136_MB_2019_0093_18
Dyavanal, Renukadevi S.; Desai, Rajalaxmi V. Uniqueness of $q$-shift difference polynomials of meromorphic functions sharing a small function. Mathematica Bohemica, Tome 145 (2020) no. 3, pp. 241-253. doi: 10.21136/MB.2019.0093-18

[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.

[2] Dyavanal, R. S., Desai, R. V.: Uniqueness of $q$-shift difference and differential polynomials of entire functions. Far East J. Appl. Math. 91 (2015), 189-202. | DOI | JFM

[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. | MR

[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.

[5] Dyavanal, R. S., Hattikal, A. M.: Weighted sharing of uniqueness of difference polynomials of meromorphic functions. Far East J. Math. Sci. (FJMS) 98 (2015), 293-313. | DOI | JFM

[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. | MR | JFM

[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.

[8] Dyavanal, R. S., Hattikal, A. M.: Uniqueness of $q$-shift difference polynomials of meromorphic functions sharing a small function. New Trends Math. Sci. 5 (2017), 250-263. | DOI | MR

[9] Hayman, W. K.: Meromorphic Functions. Oxford Mathematical Monographs. Clarendon Press, Oxford (1964). | MR | JFM

[10] Lin, W.-C., Yi, H.-X.: Uniqueness theorems for meromorphic function. Indian J. Pure Appl. Math. 35 (2004), 121-132. | MR | JFM

[11] Liu, K., Qi, X.-G.: Meromorphic solutions of $q$-shift difference equations. Ann. Pol. Math. 101 (2011), 215-225. | DOI | MR | JFM

[12] Thin, N. V.: Uniqueness of meromorphic functions and $Q$-differential polynomials sharing small functions. Bull. Iran. Math. Soc. 43 (2017), 629-647. | MR | JFM

[13] Xu, J., Zhang, X.: The zeros of $q$-shift difference polynomials of meromorphic functions. Adv. Difference Equ. 2012 (2012), Paper No. 200, 10 pages. | DOI | MR | JFM

[14] Yang, C. C., Yi, H. X.: Uniqueness Theory of Meromorphic Functions. Mathematics and Its Applications 557. Kluwer Academic Publishers, Dordrecht (2003). | MR | JFM

[15] Yang, L.: Value Distribution Theory. Springer, Berlin; Science Press, Beijing (1993). | DOI | MR | JFM

[16] Zhang, X.: Value sharing of meromorphic functions and some questions of Dyavanal. Front. Math. China 7 (2012), 161-176. | DOI | MR | JFM

[17] Zhao, Q., Zhang, J.: Zeros and shared one value of $q$-shift difference polynomials. J. Contemp. Math. Anal., Armen. Acad. Sci. 50 (2015), 63-69. | DOI | MR | JFM

Cité par Sources :