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## Gross, Fred

Compute Distance To:
 Author ID: gross.fred Published as: Gross, F.; Gross, Fred External Links: MGP
 Documents Indexed: 72 Publications since 1963, including 2 Books Reviewing Activity: 81 Reviews
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#### Co-Authors

 31 single-authored 20 Yang, Chung-Chun 19 Osgood, Charles F. 2 Baker, Irvine Noel 1 Fuchs, Wolfgang H. J. 1 Hauptman, Herbert A. 1 Koont, Sinan 1 Osgood, L. F. 1 Yang, Chung-Chang 1 Zheng, Jianhua
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#### Serials

 9 Journal of Mathematical Analysis and Applications 7 Transactions of the American Mathematical Society 5 American Mathematical Monthly 4 Complex Variables. Theory and Application 4 Bulletin of the American Mathematical Society 3 Indian Journal of Pure & Applied Mathematics 3 Canadian Journal of Mathematics 3 Nagoya Mathematical Journal 2 The Journal of the Indian Mathematical Society. New Series 2 Atti della Accademia Nazionale dei Lincei. Serie Ottava. Rendiconti. Classe di Scienze Fisiche, Matematiche e Naturali 1 Journal of Mathematical Physics 1 Acta Scientiarum Mathematicarum 1 Annales Polonici Mathematici 1 Archiv der Mathematik 1 Commentarii Mathematici Universitatis Sancti Pauli 1 Duke Mathematical Journal 1 Illinois Journal of Mathematics 1 Indian Journal of Mathematics 1 Journal of the London Mathematical Society. Second Series 1 The Mathematics Student 1 Mathematische Zeitschrift 1 Pacific Journal of Mathematics 1 Proceedings of the American Mathematical Society 1 Proceedings of the Japan Academy. Series A 1 Proceedings of the London Mathematical Society. Third Series 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 Tohoku Mathematical Journal. Second Series 1 Yokohama Mathematical Journal 1 Journal of the Australian Mathematical Society 1 Journal of Research of the National Bureau of Standards
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#### Fields

 45 Functions of a complex variable (30-XX) 4 Ordinary differential equations (34-XX) 3 Difference and functional equations (39-XX) 1 General and overarching topics; collections (00-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Special functions (33-XX)

#### Citations contained in zbMATH Open

48 Publications have been cited 383 times in 241 Documents Cited by Year
Factorization of meromorphic functions. Zbl 0266.30006
Gross, Fred
1972
On the equation $$f^ n +g^ n = 1$$. Zbl 0131.13603
Gross, F.
1966
On preimage and range sets of meromorphic functions. Zbl 0501.30026
Gross, Fred; Yang, Chung-Chun
1982
On factorization of meromorphic functions. Zbl 0159.36702
Gross, F.
1968
On the distribution of values of meromorphic functions. Zbl 0157.12903
Gross, F.
1968
On the functional equation $$f^ n +g^ n = h^ n$$. Zbl 0154.40104
Gross, Fred
1966
Factorization of meromorphic functions and some open problems. Zbl 0357.30007
Gross, Fred
1977
Further results on factorization of entire function. Zbl 0177.10402
Baker, I. N.; Gross, F.
1968
On factorizing entire functions. Zbl 0159.10002
Baker, I. N.; Gross, F.
1968
Factorization of entire functions which are periodic mod g. Zbl 0224.30017
Gross, F.
1971
Entire functions of bounded index. Zbl 0185.14101
Gross, F.
1967
Entire functions with common preimages. Zbl 0494.30029
Gross, F.; Osgood, Charles F.
1982
On the equation $$f^ n +g^ n = 1$$. II. Zbl 0159.20201
Gross, F.
1968
A simpler proof of a theorem of Steinmetz. Zbl 0683.30030
Gross, Fred; Osgood, Charles F.
1989
On fixed points of composite entire functions. Zbl 0487.30015
Gross, F.; Osgood, L. F.
1983
The fix-points and factorization of meromorphic functions. Zbl 0247.30020
Gross, Fred; Yang, Chung-Chun
1972
On factorization of elliptic functions. Zbl 0185.15401
Gross, F.
1968
Prime entire functions. Zbl 0225.30027
Gross, Fred
1971
Meromorphic functions covering certain finite sets at the same points. Zbl 0503.30029
Gross, Fred; Yang, Chung-Chun
1982
On the entire solutions of a functional equation in the theory of fluids. Zbl 0324.30012
Gross, Fred; Osgood, Charles F.; Yang, Chung-Chun
1975
Primeable entire functions. Zbl 0244.30027
Gross, Fred; Yang, Chung-Chun; Osgood, Charles
1973
On a remark of Utz. Zbl 0186.21402
Gross, F.
1967
On the periodicity of compositions of entire functions. Zbl 0152.26801
Gross, F.
1966
An extension of a theorem of Steinmetz. Zbl 0736.30024
Gross, Fred; Osgood, Charles F.
1991
Further results on Fermat type equations and a characterization of the Chebyshev polynomials. Zbl 0608.30029
Gross, F.; Osgood, C. F.
1987
On fixed points of composite meromorphic functions. Zbl 0597.30042
Gross, F.; Osgood, C. F.
1986
On the functional equation $$f^n+g^n=h^n$$ and a new approach to a certain class of more general functional equations. Zbl 0513.30017
Gross, F.; Osgood, C. F.
1981
On prime periodic entire functions. Zbl 0419.30030
Gross, Fred; Yang, Chung-Chang
1980
Some results on the growth rate of meromorphic functions. Zbl 0248.30031
Gross, Fred; Yang, Chung-Chun
1972
Entire functions of exponential type. Zbl 0197.05203
Gross, F.
1970
On some functional equations of Iyer. Zbl 0186.21501
Gross, F.
1968
On the periodicity of $$f(g)$$. Zbl 0159.36701
Gross, F.
1968
Further results on prime entire functions. Zbl 0287.30009
Gross, Fred; Yang, Chung-Chun
1974
On periodic entire functions. Zbl 0279.30008
Gross, Fred; Yang, Chung-Chun
1972
Generalization of a theorem of A. and C. Rényi on periodic functions. Zbl 0217.10001
Fuchs, W. H. J.; Gross, F.
1971
Entire functions of several variables with algebraic derivatives at certain algebraic points. Zbl 0186.13901
Gross, F.
1969
Entire solutions of the functional equation $$\alpha(\beta(z)) = \alpha(\gamma(z)) + c$$. Zbl 0186.21403
Gross, F.
1968
On the growth of $$f(g)$$. Zbl 0169.40804
Gross, F.
1968
On the periodicity of compositions of entire functions. II. Zbl 0169.40802
Gross, F.
1968
Generalized Taylor series and orders and types of entire functions of several complex variables. Zbl 0146.30903
Gross, F.
1965
A generalization of the Nielsen-Hölder theorem about $$\Gamma(z)$$. Zbl 1054.32003
Gross, Fred; Osgood, Charles F.
1998
Finding all solutions related to Steinmetz’s theorem. Zbl 0747.30019
Gross, Fred; Osgood, Charles F.
1992
On factorization theory of meromorphic functions. Zbl 0324.30011
Gross, Fred
1975
On a functional equation related to the Weierstrass sigma function. Zbl 0373.30001
Gross, Fred; Hauptman, Herbert
1974
On meromorphic solutions of a certain class of functional-differential equations. Zbl 0251.30028
Gross, Fred; Yang, Chung-Chun
1973
On meromorphic solutions of a certain class of functional-differential equations. Zbl 0225.30029
Gross, Fred; Yang, Chung-Chun
1972
On fix-points of meromorphic functions. Zbl 0194.10901
Gross, Fred
1968
Some theorems on factorization of meromorphic functions. Zbl 0169.40803
Gross, F.
1968
A generalization of the Nielsen-Hölder theorem about $$\Gamma(z)$$. Zbl 1054.32003
Gross, Fred; Osgood, Charles F.
1998
Finding all solutions related to Steinmetz’s theorem. Zbl 0747.30019
Gross, Fred; Osgood, Charles F.
1992
An extension of a theorem of Steinmetz. Zbl 0736.30024
Gross, Fred; Osgood, Charles F.
1991
A simpler proof of a theorem of Steinmetz. Zbl 0683.30030
Gross, Fred; Osgood, Charles F.
1989
Further results on Fermat type equations and a characterization of the Chebyshev polynomials. Zbl 0608.30029
Gross, F.; Osgood, C. F.
1987
On fixed points of composite meromorphic functions. Zbl 0597.30042
Gross, F.; Osgood, C. F.
1986
On fixed points of composite entire functions. Zbl 0487.30015
Gross, F.; Osgood, L. F.
1983
On preimage and range sets of meromorphic functions. Zbl 0501.30026
Gross, Fred; Yang, Chung-Chun
1982
Entire functions with common preimages. Zbl 0494.30029
Gross, F.; Osgood, Charles F.
1982
Meromorphic functions covering certain finite sets at the same points. Zbl 0503.30029
Gross, Fred; Yang, Chung-Chun
1982
On the functional equation $$f^n+g^n=h^n$$ and a new approach to a certain class of more general functional equations. Zbl 0513.30017
Gross, F.; Osgood, C. F.
1981
On prime periodic entire functions. Zbl 0419.30030
Gross, Fred; Yang, Chung-Chang
1980
Factorization of meromorphic functions and some open problems. Zbl 0357.30007
Gross, Fred
1977
On the entire solutions of a functional equation in the theory of fluids. Zbl 0324.30012
Gross, Fred; Osgood, Charles F.; Yang, Chung-Chun
1975
On factorization theory of meromorphic functions. Zbl 0324.30011
Gross, Fred
1975
Further results on prime entire functions. Zbl 0287.30009
Gross, Fred; Yang, Chung-Chun
1974
On a functional equation related to the Weierstrass sigma function. Zbl 0373.30001
Gross, Fred; Hauptman, Herbert
1974
Primeable entire functions. Zbl 0244.30027
Gross, Fred; Yang, Chung-Chun; Osgood, Charles
1973
On meromorphic solutions of a certain class of functional-differential equations. Zbl 0251.30028
Gross, Fred; Yang, Chung-Chun
1973
Factorization of meromorphic functions. Zbl 0266.30006
Gross, Fred
1972
The fix-points and factorization of meromorphic functions. Zbl 0247.30020
Gross, Fred; Yang, Chung-Chun
1972
Some results on the growth rate of meromorphic functions. Zbl 0248.30031
Gross, Fred; Yang, Chung-Chun
1972
On periodic entire functions. Zbl 0279.30008
Gross, Fred; Yang, Chung-Chun
1972
On meromorphic solutions of a certain class of functional-differential equations. Zbl 0225.30029
Gross, Fred; Yang, Chung-Chun
1972
Factorization of entire functions which are periodic mod g. Zbl 0224.30017
Gross, F.
1971
Prime entire functions. Zbl 0225.30027
Gross, Fred
1971
Generalization of a theorem of A. and C. Rényi on periodic functions. Zbl 0217.10001
Fuchs, W. H. J.; Gross, F.
1971
Entire functions of exponential type. Zbl 0197.05203
Gross, F.
1970
Entire functions of several variables with algebraic derivatives at certain algebraic points. Zbl 0186.13901
Gross, F.
1969
On factorization of meromorphic functions. Zbl 0159.36702
Gross, F.
1968
On the distribution of values of meromorphic functions. Zbl 0157.12903
Gross, F.
1968
Further results on factorization of entire function. Zbl 0177.10402
Baker, I. N.; Gross, F.
1968
On factorizing entire functions. Zbl 0159.10002
Baker, I. N.; Gross, F.
1968
On the equation $$f^ n +g^ n = 1$$. II. Zbl 0159.20201
Gross, F.
1968
On factorization of elliptic functions. Zbl 0185.15401
Gross, F.
1968
On some functional equations of Iyer. Zbl 0186.21501
Gross, F.
1968
On the periodicity of $$f(g)$$. Zbl 0159.36701
Gross, F.
1968
Entire solutions of the functional equation $$\alpha(\beta(z)) = \alpha(\gamma(z)) + c$$. Zbl 0186.21403
Gross, F.
1968
On the growth of $$f(g)$$. Zbl 0169.40804
Gross, F.
1968
On the periodicity of compositions of entire functions. II. Zbl 0169.40802
Gross, F.
1968
On fix-points of meromorphic functions. Zbl 0194.10901
Gross, Fred
1968
Some theorems on factorization of meromorphic functions. Zbl 0169.40803
Gross, F.
1968
Entire functions of bounded index. Zbl 0185.14101
Gross, F.
1967
On a remark of Utz. Zbl 0186.21402
Gross, F.
1967
On the equation $$f^ n +g^ n = 1$$. Zbl 0131.13603
Gross, F.
1966
On the functional equation $$f^ n +g^ n = h^ n$$. Zbl 0154.40104
Gross, Fred
1966
On the periodicity of compositions of entire functions. Zbl 0152.26801
Gross, F.
1966
Generalized Taylor series and orders and types of entire functions of several complex variables. Zbl 0146.30903
Gross, F.
1965
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#### Cited by 205 Authors

 30 Yang, Chung-Chun 19 Gross, Fred 16 Banerjee, Abhijit 14 Yi, Hongxun 8 Ozawa, Mitsuru 8 Zheng, Jianhua 7 Bergweiler, Walter 7 Lu, Feng 7 Yang, Lianzhong 6 Osgood, Charles F. 5 Chen, Zongxuan 5 Hua, Xinhou 5 Ishizaki, Katsuya 5 Shah, Swarupchand M. 5 Urabe, Hironobu 4 Hu, Peichu 4 Li, Baoqin 4 Li, Ping 4 Liu, Kai 4 Qi, Xiaoguang 4 Saleeby, Elias George 4 Song, Guodong 4 Tohge, Kazuya 3 Baker, Irvine Noel 3 Boutabaa, Abdelbaki 3 Cao, Tingbin 3 Escassut, Alain 3 Fang, Mingliang 3 Gundersen, Gary G. 3 Li, Bao Qin 3 Li, Xiaomin 3 Lu, Weiran 3 Majumder, Sujoy 3 Mallick, Sanjay 3 Mues, Erwin 3 Ng, Tuen-Wai 3 Niino, Kiyoshi 3 Nuray, Fatih 3 Toda, Nobushige 3 Wang, Xiaoling 3 Xu, Hongyan 3 Zheng, Xiumin 2 Chakraborty, Bikash 2 Chang, Jianming 2 Frank, Günter 2 Goldstein, Ronnie 2 Hà Huy Khóai 2 Haddad, Labib 2 Han, Qi 2 Kimura, Naofumi 2 Korhonen, Risto 2 Lahiri, Indrajit 2 Laine, Ilpo 2 Liao, Liangwen 2 Lin, Weichuan 2 Liu, Xinling 2 Liu, Yong 2 Patterson, Richard F. 2 Qi, Jianming 2 Sarkar, Arindam 2 Sun, Daochun 2 Vaillancourt, Rémi 2 Wang, Qiong 2 Xu, Junfeng 2 Xu, Ling 2 Zhang, Ranran 1 Adawi, Ahmad 1 Ahamed, Molla Basir 1 Al-Shara’, Safwan 1 Anwar, Md T. 1 Awawdeh, Fadi 1 Banerjee, Arun K. 1 Bargmann, Detlef 1 Belaïdi, Benharrat 1 Bertrand, Daniel 1 Bézivin, Jean-Paul 1 Bhattacharyya, Sarika Maitra 1 Bhoosnurmath, Subhas S. 1 Bose, Anil Kumar 1 Cai, Jinhua 1 Cao, Hongzhe 1 Chai, Fujie 1 Chakraborty, Basabi 1 Chakraborty, Saumen 1 Chang, Jiang Ming 1 Charak, Kuldeep Singh 1 Chen, Chuangxin 1 Chen, Junjie 1 Chen, Minfeng 1 Chen, Wei 1 Chen, Wei 1 Cowen, Carl C. 1 Dang, Guoqiang 1 Dhar, Santanu 1 Dmochowski, Pawel A. 1 Dong, Xianjing 1 Dou, Jia 1 Du, Yunfei 1 Firag, Abdulla 1 Fricke, Gerd H. ...and 105 more Authors
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#### Cited in 72 Serials

 32 Journal of Mathematical Analysis and Applications 25 Kodai Mathematical Journal 11 Transactions of the American Mathematical Society 10 Kodai Mathematical Seminar Reports 9 Tohoku Mathematical Journal. Second Series 9 Aequationes Mathematicae 9 Computational Methods and Function Theory 8 Mathematische Zeitschrift 6 Bulletin of the Australian Mathematical Society 6 Ukrainian Mathematical Journal 6 Proceedings of the American Mathematical Society 6 Proceedings of the Japan Academy. Series A 5 Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences 5 Bulletin of the American Mathematical Society 4 Results in Mathematics 4 Matematychni Studiï 4 Complex Variables and Elliptic Equations 3 Israel Journal of Mathematics 3 Journal d’Analyse Mathématique 3 Archiv der Mathematik 3 Rendiconti del Circolo Matemàtico di Palermo. Serie II 3 Acta Mathematica Sinica. New Series 3 Journal of Inequalities and Applications 3 Acta Mathematica Sinica. English Series 3 Journal of the Australian Mathematical Society 3 Advances in Difference Equations 2 Rocky Mountain Journal of Mathematics 2 Annales de l’Institut Fourier 2 Journal of Number Theory 2 Proceedings of the Edinburgh Mathematical Society. Series II 2 Bulletin of the Korean Mathematical Society 2 International Journal of Mathematics 2 Abstract and Applied Analysis 2 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 Arkiv för Matematik 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Czechoslovak Mathematical Journal 1 Journal of Differential Equations 1 Journal of Soviet Mathematics 1 Mathematica Slovaca 1 Michigan Mathematical Journal 1 Bulletin of the Iranian Mathematical Society 1 Constructive Approximation 1 Science in China. Series A 1 Mathematica Bohemica 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 Indagationes Mathematicae. New Series 1 The Journal of Analysis 1 Annales Mathématiques Blaise Pascal 1 Georgian Mathematical Journal 1 Arab Journal of Mathematical Sciences 1 Annales Academiae Scientiarum Fennicae. Mathematica 1 Novi Sad Journal of Mathematics 1 Journal of Applied Mathematics and Decision Sciences 1 International Journal of Applied Mathematics and Computer Science 1 Acta et Commentationes Universitatis Tartuensis de Mathematica 1 Nihonkai Mathematical Journal 1 Journal of Applied Mathematics 1 Portugaliae Mathematica. Nova Série 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 South East Asian Journal of Mathematics and Mathematical Sciences 1 Mediterranean Journal of Mathematics 1 Communications in Mathematical Analysis 1 Complex Analysis and Operator Theory 1 $$p$$-Adic Numbers, Ultrametric Analysis, and Applications 1 Advances in Pure and Applied Mathematics 1 Bulletin of Mathematical Sciences 1 Afrika Matematika 1 Journal of Mathematics 1 Journal of Complex Analysis 1 Journal of Function Spaces 1 Open Mathematics
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#### Cited in 18 Fields

 203 Functions of a complex variable (30-XX) 36 Difference and functional equations (39-XX) 31 Ordinary differential equations (34-XX) 18 Several complex variables and analytic spaces (32-XX) 9 Partial differential equations (35-XX) 5 Number theory (11-XX) 4 Dynamical systems and ergodic theory (37-XX) 2 Field theory and polynomials (12-XX) 2 Functional analysis (46-XX) 1 History and biography (01-XX) 1 Commutative algebra (13-XX) 1 Algebraic geometry (14-XX) 1 Special functions (33-XX) 1 Sequences, series, summability (40-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Probability theory and stochastic processes (60-XX) 1 Operations research, mathematical programming (90-XX) 1 Systems theory; control (93-XX)