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## Banerjee, Abhijit

Compute Distance To:
 Author ID: banerjee.abhijit Published as: Abhijit, Banerjee; Banerjee, A.; Banerjee, Abhijit
 Documents Indexed: 133 Publications since 2004 Reviewing Activity: 9 Reviews
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#### Co-Authors

 39 single-authored 23 Majumder, Sujoy 10 Ahamed, Molla Basir 10 Chakraborty, Bikash 8 Bhattacharjee, Pranab 8 Lahiri, Indrajit 7 Mallick, Sanjay 7 Mukherjee, Sonali 6 Sahoo, Pulak 4 Haldar, Goutam 3 Dhar, Santanu 1 Bhattacharyya, Saikat 1 Deb, Rajat K.
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#### Fields

 125 Functions of a complex variable (30-XX)

#### Citations contained in zbMATH

66 Publications have been cited 263 times in 121 Documents Cited by Year
Meromorphic functions sharing one value. Zbl 1093.30024
Banerjee, Abhijit
2005
Weighted sharing of two sets. Zbl 1103.30017
Lahiri, Indrajit; Banerjee, Abhijit
2006
Weighted sharing of a small function by a meromorphic function and its derivative. Zbl 1152.30321
Banerjee, Abhijit
2007
A uniqueness polynomial generating a unique range set and vice versa. Zbl 1283.30064
Banerjee, Abhijit; Lahiri, Indrajit
2012
Uniqueness of meromorphic functions sharing two sets with finite weight. Zbl 1146.30014
Banerjee, Abhijit
2008
On a question of Gross. Zbl 1115.30029
Banerjee, Abhijit
2007
Uniqueness of meromorphic functions with deficient poles. Zbl 1070.30015
Lahiri, Indrajit; Banerjee, Abhijit
2004
Further investigations on a question of Zhang and Lü. Zbl 1332.30047
Banerjee, Abhijit; Chakraborty, Bikash
2015
Uniqueness of certain non-linear differential polynomials sharing 1-points. Zbl 1218.30073
Banerjee, Abhijit
2011
Uniqueness of meromorphic functions sharing two sets with finite weight. II. Zbl 1213.30052
Banerjee, Abhijit
2010
Uniqueness of meromorphic functions sharing two or three sets. Zbl 1161.30017
Banerjee, Abhijit; Mukherjee, Sonali
2008
Some uniqueness results on meromorphic functions sharing three sets. Zbl 1130.30027
Banerjee, Abhijit
2007
Uniqueness and set sharing of derivatives of meromorphic functions. Zbl 1265.30141
Banerjee, Abhijit; Bhattacharjee, Pranab
2011
On the uniqueness of meromorphic functions that share two sets. Zbl 1159.30018
Banerjee, Abhijit
2008
Uniqueness of meromorphic functions that share two sets. Zbl 1150.30021
Abhijit, Banerjee
2007
A new class of strong uniqueness polynomials satisfying Fujimoto’s condition. Zbl 1331.30019
Banerjee, Abhijit
2015
Uniqueness of meromorphic functions concerning differential monomials sharing the same value. Zbl 1164.30022
Banerjee, Abhijit; Mukherjee, Sonali
2007
On uniqueness for nonlinear differential polynomials sharing the same 1-point. Zbl 1104.30018
Banerjee, Abhijit
2006
On the characterisations of a new class of strong uniqueness polynomials generating unique range sets. Zbl 1364.30035
Banerjee, Abhijit; Mallick, Sanjay
2017
Some uniqueness results related to meromorphic function that share a small function with its derivative. Zbl 1313.30117
Banerjee, Abhijit; Majumder, Sujoy
2014
Uniqueness of meromorphic functions that share three sets. Zbl 1186.30033
Banerjee, Abhijit
2009
A uniqueness result on some differential polynomials sharing 1-points. Zbl 1152.30023
Banerjee, Abhijit
2007
On the uniqueness of a power of a meromorphic function sharing a small function with the power of its derivative. Zbl 1224.30152
Banerjee, A.; Majumder, S.
2010
Uniqueness of derivatives of meromorphic functions sharing two or three sets. Zbl 1189.30064
Banerjee, Abhijit; Bhattacharjee, Pranab
2010
Nonlinear differential polynomials sharing a small function. Zbl 1212.30113
Banerjee, Abhijit; Mukherjee, Sonali
2008
Value distribution of a Wronskian. Zbl 1063.30030
Lahiri, Indrajit; Banerjee, Abhijit
2004
On the uniqueness of meromorphic functions and its difference operator sharing values or sets. Zbl 1390.30035
Banerjee, Abhijit; Bhattacharyya, Saikat
2018
Further results on the uniqueness of meromorphic functions and their derivative counterpart sharing one or two sets. Zbl 1362.30041
Banerjee, Abhijit; Chakraborty, Bikash
2016
Certain non-linear differential polynomials having common poles sharing a non zero polynomial with finite weight. Zbl 1412.30109
Banerjee, Abhijit; Haldar, Goutam
2015
Meromorphic function sharing a small function with its differential polynomial. Zbl 1345.30031
Banerjee, Abhijit; Ahamed, Molla Basir
2015
Certain nonlinear differential polynomials sharing a nonzero polynomial with finite weight. Zbl 1330.30035
Banerjee, Abhijit; Sahoo, Pulak
2015
A new type of unique range set with deficient values. Zbl 1331.30020
Banerjee, Abhijit; Chakraborty, Bikash
2015
Non-linear differential polynomials sharing small function with finite weight. Zbl 1323.30035
Banerjee, Abhijit; Majumder, Sujoy
2015
On uniqueness of meromorphic functions sharing three sets with finite weights. Zbl 1333.30043
Banerjee, Abhijit; Ahamed, Molla Basir
2014
Uniqueness of meromorphic functions sharing three sets – further study. Zbl 1329.30016
Banerjee, Abhijit; Majumder, Sujoy
2014
Uniqueness of meromorphic functions when two differential polynomials share one value. Zbl 1260.30015
Banerjee, Abhijit; Sahoo, Pulak
2012
Uniqueness of meromorphic functions whose $$n$$-th derivative share one or two values. Zbl 1274.30111
Banerjee, Abhijit; Mukherjee, Sonali
2009
Meromorphic functions sharing two sets. Zbl 1174.30040
Banerjee, Abhijit
2007
On uniqueness of meromorphic functions when two differential monomials share one value. Zbl 1133.30328
Banerjee, Abhijit
2007
Nonlinear differential polynomials sharing one value. Zbl 1124.30008
Banerjee, Abhijit
2007
Bicomplex modules with indefinite inner product. Zbl 1418.30043
Banerjee, A.; Deb, R.
2019
A note on uniqueness of meromorphic functions and their derivatives sharing two sets. Zbl 1412.30108
Banerjee, Abhijit; Chakraborty, Bikash
2017
Rational function and differential polynomial of a meromorphic function sharing a small function. Zbl 1399.30116
Ahamed, Molla Basir; Banerjee, Abhijit
2017
On the uniqueness of certain types of differential-difference polynomials. Zbl 1399.30117
Banerjee, A.; Majumder, S.
2017
Some further study on Brück conjecture. Zbl 1389.30126
Banerjee, Abhijit; Chakraborty, Bikash
2016
Uniqueness of the power of meromorphic functions with its differential polynomial sharing a set. Zbl 06750231
Banerjee, Abhijit; Chakraborty, Bikash
2016
On a generalization of a result of Zhang and Yang. Zbl 06750066
Banerjee, Abhijit; Majumder, Sujoy
2016
Fujimoto’s theorem – a further study. Zbl 1362.30040
Banerjee, A.
2016
On the generalizations of Brück conjecture. Zbl 1343.30019
Banerjee, Abhijit; Chakraborty, Bikash
2016
On the bi unique range sets for derivatives of meromorphic functions. Zbl 1399.30118
Banerjee, A.; Mallick, S.
2015
Meromorphic function with some power sharing a small function with the differential polynomial generated by the function. Zbl 1349.30111
Banerjee, Abhijit; Dhar, Santanu
2015
Uniqueness of meromorphic functions sharing two finite sets in $${\mathbb {C}}$$ with finite weight II. Zbl 1330.30034
Banerjee, Abhijit; Mallick, Sanjay
2015
Uniqueness of meromorphic functions sharing two finite sets in $$\mathbb{C}$$ with finite weight. Zbl 1306.30011
Banerjee, Abhijit; Haldar, Goutam
2014
Meromorphic functions with deficiencies generating unique range sets. Zbl 1302.30037
Banerjee, A.; Majumder, S.
2013
Bi-unique range sets for meromorphic functions. Zbl 1291.30189
Banerjee, Abhijit
2013
Some further results on a question of Yi. Zbl 1289.30176
Banerjee, Abhijit
2012
Some further results on the uniqueness of meromorphic functions sharing three sets. Zbl 1240.30133
Banerjee, Abhijit
2010
On the uniqueness of meromorphic functions sharing two sets. Zbl 1195.30042
Banerjee, Abhijit
2010
Uniqueness of meromorphic functions sharing a small function with their differential polynomials. Zbl 1188.30033
Banerjee, Abhijit
2009
Some uniqueness results on meromorphic functions sharing two or three sets. Zbl 1182.30043
Banerjee, Abhijit; Mukherjee, Sonali
2009
Some uniqueness results related to certain nonlinear differential polynomials sharing the same 1-points. Zbl 1182.30042
Banerjee, Abhijit; Bhattacharjee, Pranab
2009
Uniqueness of meromorphic functions sharing one value with their derivatives. Zbl 1159.30324
Banerjee, Abhijit; Bhattacharjee, Pranab
2008
Uniqueness of certain nonlinear differential polynomials sharing the same value. Zbl 1158.30321
Banerjee, Abhijit
2008
On uniqueness of meromorphic functions sharing three sets. Zbl 1161.30016
Banerjee, Abhijit
2008
Tumura-Clunie theorem concerning differential polynomials. Zbl 1062.30035
Lahiri, Indrajit; Banerjee, Abhijit
2004
Weighted sharing of three values by linear differential polynomials. Zbl 1069.30052
Lahiri, Indrajit; Banerjee, Abhijit
2004
Bicomplex modules with indefinite inner product. Zbl 1418.30043
Banerjee, A.; Deb, R.
2019
On the uniqueness of meromorphic functions and its difference operator sharing values or sets. Zbl 1390.30035
Banerjee, Abhijit; Bhattacharyya, Saikat
2018
On the characterisations of a new class of strong uniqueness polynomials generating unique range sets. Zbl 1364.30035
Banerjee, Abhijit; Mallick, Sanjay
2017
A note on uniqueness of meromorphic functions and their derivatives sharing two sets. Zbl 1412.30108
Banerjee, Abhijit; Chakraborty, Bikash
2017
Rational function and differential polynomial of a meromorphic function sharing a small function. Zbl 1399.30116
Ahamed, Molla Basir; Banerjee, Abhijit
2017
On the uniqueness of certain types of differential-difference polynomials. Zbl 1399.30117
Banerjee, A.; Majumder, S.
2017
Further results on the uniqueness of meromorphic functions and their derivative counterpart sharing one or two sets. Zbl 1362.30041
Banerjee, Abhijit; Chakraborty, Bikash
2016
Some further study on Brück conjecture. Zbl 1389.30126
Banerjee, Abhijit; Chakraborty, Bikash
2016
Uniqueness of the power of meromorphic functions with its differential polynomial sharing a set. Zbl 06750231
Banerjee, Abhijit; Chakraborty, Bikash
2016
On a generalization of a result of Zhang and Yang. Zbl 06750066
Banerjee, Abhijit; Majumder, Sujoy
2016
Fujimoto’s theorem – a further study. Zbl 1362.30040
Banerjee, A.
2016
On the generalizations of Brück conjecture. Zbl 1343.30019
Banerjee, Abhijit; Chakraborty, Bikash
2016
Further investigations on a question of Zhang and Lü. Zbl 1332.30047
Banerjee, Abhijit; Chakraborty, Bikash
2015
A new class of strong uniqueness polynomials satisfying Fujimoto’s condition. Zbl 1331.30019
Banerjee, Abhijit
2015
Certain non-linear differential polynomials having common poles sharing a non zero polynomial with finite weight. Zbl 1412.30109
Banerjee, Abhijit; Haldar, Goutam
2015
Meromorphic function sharing a small function with its differential polynomial. Zbl 1345.30031
Banerjee, Abhijit; Ahamed, Molla Basir
2015
Certain nonlinear differential polynomials sharing a nonzero polynomial with finite weight. Zbl 1330.30035
Banerjee, Abhijit; Sahoo, Pulak
2015
A new type of unique range set with deficient values. Zbl 1331.30020
Banerjee, Abhijit; Chakraborty, Bikash
2015
Non-linear differential polynomials sharing small function with finite weight. Zbl 1323.30035
Banerjee, Abhijit; Majumder, Sujoy
2015
On the bi unique range sets for derivatives of meromorphic functions. Zbl 1399.30118
Banerjee, A.; Mallick, S.
2015
Meromorphic function with some power sharing a small function with the differential polynomial generated by the function. Zbl 1349.30111
Banerjee, Abhijit; Dhar, Santanu
2015
Uniqueness of meromorphic functions sharing two finite sets in $${\mathbb {C}}$$ with finite weight II. Zbl 1330.30034
Banerjee, Abhijit; Mallick, Sanjay
2015
Some uniqueness results related to meromorphic function that share a small function with its derivative. Zbl 1313.30117
Banerjee, Abhijit; Majumder, Sujoy
2014
On uniqueness of meromorphic functions sharing three sets with finite weights. Zbl 1333.30043
Banerjee, Abhijit; Ahamed, Molla Basir
2014
Uniqueness of meromorphic functions sharing three sets – further study. Zbl 1329.30016
Banerjee, Abhijit; Majumder, Sujoy
2014
Uniqueness of meromorphic functions sharing two finite sets in $$\mathbb{C}$$ with finite weight. Zbl 1306.30011
Banerjee, Abhijit; Haldar, Goutam
2014
Meromorphic functions with deficiencies generating unique range sets. Zbl 1302.30037
Banerjee, A.; Majumder, S.
2013
Bi-unique range sets for meromorphic functions. Zbl 1291.30189
Banerjee, Abhijit
2013
A uniqueness polynomial generating a unique range set and vice versa. Zbl 1283.30064
Banerjee, Abhijit; Lahiri, Indrajit
2012
Uniqueness of meromorphic functions when two differential polynomials share one value. Zbl 1260.30015
Banerjee, Abhijit; Sahoo, Pulak
2012
Some further results on a question of Yi. Zbl 1289.30176
Banerjee, Abhijit
2012
Uniqueness of certain non-linear differential polynomials sharing 1-points. Zbl 1218.30073
Banerjee, Abhijit
2011
Uniqueness and set sharing of derivatives of meromorphic functions. Zbl 1265.30141
Banerjee, Abhijit; Bhattacharjee, Pranab
2011
Uniqueness of meromorphic functions sharing two sets with finite weight. II. Zbl 1213.30052
Banerjee, Abhijit
2010
On the uniqueness of a power of a meromorphic function sharing a small function with the power of its derivative. Zbl 1224.30152
Banerjee, A.; Majumder, S.
2010
Uniqueness of derivatives of meromorphic functions sharing two or three sets. Zbl 1189.30064
Banerjee, Abhijit; Bhattacharjee, Pranab
2010
Some further results on the uniqueness of meromorphic functions sharing three sets. Zbl 1240.30133
Banerjee, Abhijit
2010
On the uniqueness of meromorphic functions sharing two sets. Zbl 1195.30042
Banerjee, Abhijit
2010
Uniqueness of meromorphic functions that share three sets. Zbl 1186.30033
Banerjee, Abhijit
2009
Uniqueness of meromorphic functions whose $$n$$-th derivative share one or two values. Zbl 1274.30111
Banerjee, Abhijit; Mukherjee, Sonali
2009
Uniqueness of meromorphic functions sharing a small function with their differential polynomials. Zbl 1188.30033
Banerjee, Abhijit
2009
Some uniqueness results on meromorphic functions sharing two or three sets. Zbl 1182.30043
Banerjee, Abhijit; Mukherjee, Sonali
2009
Some uniqueness results related to certain nonlinear differential polynomials sharing the same 1-points. Zbl 1182.30042
Banerjee, Abhijit; Bhattacharjee, Pranab
2009
Uniqueness of meromorphic functions sharing two sets with finite weight. Zbl 1146.30014
Banerjee, Abhijit
2008
Uniqueness of meromorphic functions sharing two or three sets. Zbl 1161.30017
Banerjee, Abhijit; Mukherjee, Sonali
2008
On the uniqueness of meromorphic functions that share two sets. Zbl 1159.30018
Banerjee, Abhijit
2008
Nonlinear differential polynomials sharing a small function. Zbl 1212.30113
Banerjee, Abhijit; Mukherjee, Sonali
2008
Uniqueness of meromorphic functions sharing one value with their derivatives. Zbl 1159.30324
Banerjee, Abhijit; Bhattacharjee, Pranab
2008
Uniqueness of certain nonlinear differential polynomials sharing the same value. Zbl 1158.30321
Banerjee, Abhijit
2008
On uniqueness of meromorphic functions sharing three sets. Zbl 1161.30016
Banerjee, Abhijit
2008
Weighted sharing of a small function by a meromorphic function and its derivative. Zbl 1152.30321
Banerjee, Abhijit
2007
On a question of Gross. Zbl 1115.30029
Banerjee, Abhijit
2007
Some uniqueness results on meromorphic functions sharing three sets. Zbl 1130.30027
Banerjee, Abhijit
2007
Uniqueness of meromorphic functions that share two sets. Zbl 1150.30021
Abhijit, Banerjee
2007
Uniqueness of meromorphic functions concerning differential monomials sharing the same value. Zbl 1164.30022
Banerjee, Abhijit; Mukherjee, Sonali
2007
A uniqueness result on some differential polynomials sharing 1-points. Zbl 1152.30023
Banerjee, Abhijit
2007
Meromorphic functions sharing two sets. Zbl 1174.30040
Banerjee, Abhijit
2007
On uniqueness of meromorphic functions when two differential monomials share one value. Zbl 1133.30328
Banerjee, Abhijit
2007
Nonlinear differential polynomials sharing one value. Zbl 1124.30008
Banerjee, Abhijit
2007
Weighted sharing of two sets. Zbl 1103.30017
Lahiri, Indrajit; Banerjee, Abhijit
2006
On uniqueness for nonlinear differential polynomials sharing the same 1-point. Zbl 1104.30018
Banerjee, Abhijit
2006
Meromorphic functions sharing one value. Zbl 1093.30024
Banerjee, Abhijit
2005
Uniqueness of meromorphic functions with deficient poles. Zbl 1070.30015
Lahiri, Indrajit; Banerjee, Abhijit
2004
Value distribution of a Wronskian. Zbl 1063.30030
Lahiri, Indrajit; Banerjee, Abhijit
2004
Tumura-Clunie theorem concerning differential polynomials. Zbl 1062.30035
Lahiri, Indrajit; Banerjee, Abhijit
2004
Weighted sharing of three values by linear differential polynomials. Zbl 1069.30052
Lahiri, Indrajit; Banerjee, Abhijit
2004
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#### Cited by 92 Authors

 33 Banerjee, Abhijit 16 Sahoo, Pulak 14 Waghamore, Harina Pandit 12 Majumder, Sujoy 8 Xu, Hongyan 6 Ahamed, Molla Basir 6 Chakraborty, Bikash 5 Meng, Chao 5 Saha, Biswajit 4 Karmakar, Himadri 4 Mandal, Rajib 4 Seikh, Sajahan 3 Anand, Sangeetha 3 Biswas, Tanmay 3 Maligi, Ramya 3 Mallick, Sanjay 3 Naveenkumar, S. H. 3 Wu, Chun 3 Yi, Hongxun 2 Ali, Sultan 2 An, Vu Hoai 2 Bhattacharjee, Pranab 2 Halder, Samar 2 Husna, V. 2 Khoai, Ha Huy 2 Kumar Datta, Sanjib 2 Liu, Dan 2 Rajeshwari, S. 2 Sarkar, Arindam 2 Wang, Hua 1 Al-Khaladi, Amer Haider Hussein 1 Anwar, Md T. 1 Banerjee, Arindam 1 Basir Ahamed, M. 1 Bhattacharyya, Saikat 1 Bhoosnurmath, Vijaylaxmi 1 Bilgin, Merve 1 Biswas, Chinmay 1 Biswas, G. P. 1 Cao, Tingbin 1 Charak, Kuldeep Singh 1 Dam, Arup 1 Deng, Bingmao 1 Dhar, Santanu 1 Dyavanal, Renukadevi Sangappa 1 Ersoy, Soley 1 Fang, Mingliang 1 Gao, Zongsheng 1 Giang, Ha Huong 1 Hai, Tran An 1 Haldar, Goutam 1 Harina, Waghamore P. 1 Hien, Nguyen Thi Thanh 1 Korhonen, Risto 1 Lahiri, Indrajit 1 Lai, Nguyen Xuan 1 Lal, Banarsi 1 Li, Jiangtao 1 Li, Xiaomin 1 Li, Xu 1 Liu, Gang 1 Liu, Gang 1 Liu, Gang 1 Lu, Feng 1 Ma, Linke 1 Majumder, Suman 1 Mallick, Sahanous 1 Mallick, Shrestha Basu 1 Mathai, Madhura M. 1 Pramanik, Dilip Chandra 1 Roy, Jayanta 1 Saha, Somnath 1 Sahoo, Pradyumn Kumar 1 Sahoo, Pravati 1 Sarkar, Anjan 1 Sarkar, Debranjan 1 Shilpa, N. 1 Si Duc Quang 1 Vijaylaxmi, S. B. 1 Wang, Songmin 1 Wang, Xinli 1 Wu, Zhaojun 1 Xu, Junfeng 1 Xuan, Zuxing 1 Yang, Degui 1 Yang, Lianzhong 1 Zhan, Tangsen 1 Zhang, Jilong 1 Zhang, Xiaobin 1 Zhao, Liang 1 Zhao, Liang 1 Zheng, Xiumin
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#### Cited in 59 Serials

 6 Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences 6 Tbilisi Mathematical Journal 6 Journal of Applied Mathematics & Informatics 5 Matematychni Studiï 5 Electronic Journal of Mathematical Analysis and Applications EJMAA 4 Computers & Mathematics with Applications 4 Rendiconti del Circolo Matemàtico di Palermo. Serie II 4 Abstract and Applied Analysis 4 Acta Universitatis Sapientiae. Mathematica 4 Journal of Classical Analysis 3 Mathematica Slovaca 3 The Journal of Analysis 3 Vietnam Journal of Mathematics 3 Analysis (München) 3 Applied Mathematics E-Notes 3 Advances in Pure and Applied Mathematics 2 Ukrainian Mathematical Journal 2 Demonstratio Mathematica 2 The Journal of the Indian Mathematical Society. New Series 2 Mathematica Bohemica 2 Turkish Journal of Mathematics 2 Boletín de la Sociedad Matemática Mexicana. Third Series 2 Lobachevskii Journal of Mathematics 2 Computational Methods and Function Theory 2 Advances in Difference Equations 2 Mathematics 2 Bollettino dell’Unione Matematica Italiana 1 Analysis Mathematica 1 Journal of Mathematical Analysis and Applications 1 Lithuanian Mathematical Journal 1 Acta Mathematica Vietnamica 1 Archivum Mathematicum 1 Czechoslovak Mathematical Journal 1 Fasciculi Mathematici 1 Bulletin of the Iranian Mathematical Society 1 International Journal of Mathematics 1 Bulletin of the Polish Academy of Sciences, Mathematics 1 Journal of Mathematical Sciences (New York) 1 Bulletin of the Belgian Mathematical Society - Simon Stevin 1 Advances in Applied Clifford Algebras 1 Journal of Difference Equations and Applications 1 Arab Journal of Mathematical Sciences 1 Annales Academiae Scientiarum Fennicae. Mathematica 1 Journal of Applied Analysis 1 Communications of the Korean Mathematical Society 1 Acta et Commentationes Universitatis Tartuensis de Mathematica 1 Nihonkai Mathematical Journal 1 Portugaliae Mathematica. Nova Série 1 Communications in Mathematical Analysis 1 Frontiers of Mathematics in China 1 $$p$$-Adic Numbers, Ultrametric Analysis, and Applications 1 Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica 1 Afrika Matematika 1 Arabian Journal of Mathematics 1 Journal of Applied Analysis and Computation 1 Palestine Journal of Mathematics 1 Communications in Mathematics and Statistics 1 Journal of Complex Analysis 1 Korean Journal of Mathematics
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#### Cited in 6 Fields

 121 Functions of a complex variable (30-XX) 10 Difference and functional equations (39-XX) 3 Several complex variables and analytic spaces (32-XX) 1 Number theory (11-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Probability theory and stochastic processes (60-XX)