## Miles, Joseph

Compute Distance To:
 Author ID: miles.joseph Published as: Miles, Joseph; Miles, J. Homepage: http://www.math.uiuc.edu/~joe/ External Links: MGP · dblp
 Documents Indexed: 34 Publications since 1969 Co-Authors: 7 Co-Authors with 13 Joint Publications 131 Co-Co-Authors
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### Co-Authors

 21 single-authored 6 Rossi, John F. 2 Hellerstein, Simon 2 Hinkkanen, Aimo 2 Shea, Daniel F. 2 Townsend, Douglas W. 1 Hayman, Walter Kurt 1 Williamson, Jack
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### Serials

 3 Pacific Journal of Mathematics 3 Transactions of the American Mathematical Society 3 Complex Variables. Theory and Application 2 Journal d’Analyse Mathématique 2 Journal of the London Mathematical Society. Second Series 2 Proceedings of the American Mathematical Society 2 Annales Academiae Scientiarum Fennicae. Mathematica 2 Bulletin of the American Mathematical Society 1 Annales Academiae Scientiarum Fennicae. Series A I. Mathematica 1 Duke Mathematical Journal 1 Illinois Journal of Mathematics 1 Indiana University Mathematics Journal 1 Proceedings of the London Mathematical Society. Third Series 1 The Quarterly Journal of Mathematics. Oxford Second Series 1 Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Computational Methods and Function Theory

### Fields

 30 Functions of a complex variable (30-XX) 3 Ordinary differential equations (34-XX) 2 Several complex variables and analytic spaces (32-XX) 1 Potential theory (31-XX) 1 Functional analysis (46-XX)

### Citations contained in zbMATH Open

22 Publications have been cited 204 times in 167 Documents Cited by Year
On the growth of a meromorphic function and its derivatives. Zbl 0643.30021
Hayman, W. K.; Miles, Joseph
1989
On the growth of solutions of $$f''+gf'+hf=0$$. Zbl 0719.34011
Hellerstein, Simon; Miles, Joseph; Rossi, John
1991
On the growth of solutions of certain linear differential equations. Zbl 0759.34005
Hellerstein, Simon; Miles, Joseph; Rossi, John
1992
An extremal problem in value-distribution theory. Zbl 0266.30034
Miles, Joseph; Shea, Daniel F.
1973
Linear combinations of logarithmic derivatives of entire functions with applications to differential equations. Zbl 0861.30025
Miles, J.; Rossi, John
1996
Quotient representations of meromorphic functions. Zbl 0247.30019
Miles, Joseph
1972
On the growth of meromorphic functions having at least one deficient value. Zbl 0333.30017
Miles, Joseph; Shea, Daniel F.
1976
A sharp form of the lemma on the logarithmic derivative. Zbl 0755.30030
Miles, Joseph
1992
On entire functions of infinite order with radially distributed zeros. Zbl 0371.30024
Miles, Joseph
1979
Bounds on the ratio $$n(r,\alpha)/S(r)$$ for meromorphic functions. Zbl 0225.30032
Miles, Joseph
1972
Representing a meromorphic function as the quotient of two entire functions of small characteristic. Zbl 0203.38202
Miles, J.
1970
A note on Ahlfors’ theory of covering surfaces. Zbl 0172.37002
Miles, J.
1969
Growth conditions for entire functions with only bounded Fatou components. Zbl 1183.30021
Hinkkanen, Aimo; Miles, Joseph
2009
Zero sets in H$$^p$$(U$$^n$$). Zbl 0264.32001
Miles, Joseph
1973
A characterization of the exponential function. Zbl 0545.30017
Miles, Joseph; Williamson, Jack
1986
Some examples of the dependence of the Nevalinna deficiency upon the choice of origin. Zbl 0494.30030
Miles, Joseph
1983
On the counting function for the a-values of a meromorphic function. Zbl 0194.11103
Miles, J.
1970
On the growth of meromorphic functions with radially distributed zeros and poles. Zbl 0582.30020
Miles, Joseph
1986
Imaginary values of meromorphic functions. Zbl 0349.30022
Miles, Joseph; Townsend, Douglas
1978
On the growth of entire functions with zero sets having infinite exponent of convergence. Zbl 1021.30023
Miles, Joseph
2002
On a conjecture of Fuchs. Zbl 1012.30021
Miles, Joseph; Rossi, John
2001
A sharp form of the lemma on the logarithmic derivative. Zbl 0706.30023
Miles, Joseph
1991
Growth conditions for entire functions with only bounded Fatou components. Zbl 1183.30021
Hinkkanen, Aimo; Miles, Joseph
2009
On the growth of entire functions with zero sets having infinite exponent of convergence. Zbl 1021.30023
Miles, Joseph
2002
On a conjecture of Fuchs. Zbl 1012.30021
Miles, Joseph; Rossi, John
2001
Linear combinations of logarithmic derivatives of entire functions with applications to differential equations. Zbl 0861.30025
Miles, J.; Rossi, John
1996
On the growth of solutions of certain linear differential equations. Zbl 0759.34005
Hellerstein, Simon; Miles, Joseph; Rossi, John
1992
A sharp form of the lemma on the logarithmic derivative. Zbl 0755.30030
Miles, Joseph
1992
On the growth of solutions of $$f''+gf'+hf=0$$. Zbl 0719.34011
Hellerstein, Simon; Miles, Joseph; Rossi, John
1991
A sharp form of the lemma on the logarithmic derivative. Zbl 0706.30023
Miles, Joseph
1991
On the growth of a meromorphic function and its derivatives. Zbl 0643.30021
Hayman, W. K.; Miles, Joseph
1989
A characterization of the exponential function. Zbl 0545.30017
Miles, Joseph; Williamson, Jack
1986
On the growth of meromorphic functions with radially distributed zeros and poles. Zbl 0582.30020
Miles, Joseph
1986
Some examples of the dependence of the Nevalinna deficiency upon the choice of origin. Zbl 0494.30030
Miles, Joseph
1983
On entire functions of infinite order with radially distributed zeros. Zbl 0371.30024
Miles, Joseph
1979
Imaginary values of meromorphic functions. Zbl 0349.30022
Miles, Joseph; Townsend, Douglas
1978
On the growth of meromorphic functions having at least one deficient value. Zbl 0333.30017
Miles, Joseph; Shea, Daniel F.
1976
An extremal problem in value-distribution theory. Zbl 0266.30034
Miles, Joseph; Shea, Daniel F.
1973
Zero sets in H$$^p$$(U$$^n$$). Zbl 0264.32001
Miles, Joseph
1973
Quotient representations of meromorphic functions. Zbl 0247.30019
Miles, Joseph
1972
Bounds on the ratio $$n(r,\alpha)/S(r)$$ for meromorphic functions. Zbl 0225.30032
Miles, Joseph
1972
Representing a meromorphic function as the quotient of two entire functions of small characteristic. Zbl 0203.38202
Miles, J.
1970
On the counting function for the a-values of a meromorphic function. Zbl 0194.11103
Miles, J.
1970
A note on Ahlfors’ theory of covering surfaces. Zbl 0172.37002
Miles, J.
1969
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### Cited by 147 Authors

 13 Langley, James K. 9 Long, Jianren 7 Li, Xiaomin 7 Yi, Hongxun 6 Abi-Khuzam, Faruk Fuad 6 Ye, Zhuan 5 Eremenko, Alexandre Émmanuilovich 5 Lahiri, Indrajit 5 Wang, Yuefei 4 Bank, Steven B. 4 Heittokangas, Janne M. 4 Malyutin, Konstantin Gennad’evich 4 Pal, Bipul 4 Rippon, Philip Jonathan 4 Stallard, Gwyneth Mary 4 Tu, Jin 4 Ueda, Hideharu 4 Wu, Pengcheng 4 Yang, Chung-Chun 3 Alotaibi, Abdullah M. 3 Bergweiler, Walter 3 Chen, Junfan 3 Chen, Zongxuan 3 Gol’dberg, Anatoliĭ Asirowitsch 3 Korhonen, Risto 3 Laine, Ilpo 3 Lu, Weiran 3 Sodin, Mikhail 3 Tohge, Kazuya 3 Wu, Xiubi 2 Barsegian, Grigor A. 2 Chen, Minfeng 2 Elzaidi, S. M. 2 Gao, Zongsheng 2 Hinkkanen, Aimo 2 Huang, Zhibo 2 Huang, Zhigang 2 Kabanko, Mikhaĭl Vladimirovich 2 Kumar, Sanjay 2 Li, Ping 2 Loi, Andrea 2 Meyer, Janis 2 Miles, Joseph 2 Naveenkumar, S. H. 2 Qiao, Jianyong 2 Revenko, A. A. 2 Rossi, John F. 2 Rubel, Lee Albert 2 Saini, Manisha 2 Shea, Daniel F. 2 Waghamore, Harina Pandit 2 Wang, Jun 2 Wen, Zhitao 2 Wu, Linlin 2 Yang, Jing 2 Zhang, Guowei 2 Zhang, Yueyang 2 Zheng, Jianhua 2 Zhu, Jun 1 Andrusiak, I. V. 1 Chakraborty, Bikash 1 Chen, Huaihui 1 Chen, Shengjiang 1 Chiang, Yik-Man 1 Chyzhykov, Igor Elbertovych 1 Cornish, Fred H. J. 1 Csáki, Endre 1 Cuccu, Fabrizio 1 Cui, Ning 1 Deng, Guantie 1 Drasin, David 1 Duval, Julien 1 Evdoridou, Vasiliki 1 Fang, Mingliang 1 Feng, Shaoji 1 Fernández Arias, Arturo 1 Filevych, Petro V. 1 Gallagher, Patrick X. 1 Gao, Lingyun 1 Glücksam, Adi 1 Gómez, Angel Alonso 1 Greco, Antonio 1 Gundersen, Gary G. 1 Halburd, Rodney G. 1 Halder, Samar 1 Han, Qi 1 Huang, Wenping 1 Ishizaki, Katsuya 1 Jank, Gerhard 1 Karpińska, Bogusława 1 Katajamäki, Kari 1 Kaufman, Robert P. 1 Kwon, Ki-Ho 1 Li, Yezhou 1 Lin, Weichuan 1 Liu, Cui 1 Liu, Fang 1 Liu, Huifang 1 Liu, Jie 1 Liu, Jingbo ...and 47 more Authors
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### Cited in 68 Serials

 16 Journal of Mathematical Analysis and Applications 12 Kodai Mathematical Journal 9 Proceedings of the American Mathematical Society 9 Results in Mathematics 8 Journal d’Analyse Mathématique 7 Computational Methods and Function Theory 5 Transactions of the American Mathematical Society 4 Advances in Mathematics 4 Journal of Soviet Mathematics 4 Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences 4 Abstract and Applied Analysis 4 Matematychni Studiï 4 Advances in Difference Equations 3 Monatshefte für Mathematik 3 Annales Academiae Scientiarum Fennicae. Mathematica 3 Acta Mathematica Sinica. English Series 2 Mathematical Proceedings of the Cambridge Philosophical Society 2 Ukrainian Mathematical Journal 2 Journal of Geometry and Physics 2 Acta Mathematica 2 Archiv der Mathematik 2 Inventiones Mathematicae 2 Mathematische Zeitschrift 2 Siberian Mathematical Journal 2 Bulletin of the Korean Mathematical Society 2 Filomat 2 Communications of the Korean Mathematical Society 2 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 2 Complex Variables and Elliptic Equations 2 AIMS Mathematics 1 Computers & Mathematics with Applications 1 Indian Journal of Pure & Applied Mathematics 1 Mathematical Notes 1 Rocky Mountain Journal of Mathematics 1 Arkiv för Matematik 1 Compositio Mathematica 1 Duke Mathematical Journal 1 Journal of Approximation Theory 1 The Journal of the Indian Mathematical Society. New Series 1 Journal of Statistical Planning and Inference 1 Kyungpook Mathematical Journal 1 Mathematika 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Proceedings of the Japan Academy. Series A 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 Acta Mathematicae Applicatae Sinica. English Series 1 Revista Matemática Iberoamericana 1 Applied Mathematics Letters 1 Science in China. Series A 1 Geometric and Functional Analysis. GAFA 1 Aequationes Mathematicae 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Acta Mathematica Sinica. New Series 1 Journal of Mathematical Sciences (New York) 1 Taiwanese Journal of Mathematics 1 Journal of Inequalities and Applications 1 Journal of the Australian Mathematical Society 1 Acta Mathematica Scientia. Series B. (English Edition) 1 Communications in Mathematical Analysis 1 Complex Analysis and Operator Theory 1 Frontiers of Mathematics in China 1 Tbilisi Mathematical Journal 1 Science China. Mathematics 1 Advances in Pure and Applied Mathematics 1 Journal of Classical Analysis 1 Problemy Analiza. Issues of Analysis 1 Electronic Journal of Mathematical Analysis and Applications EJMAA 1 Open Mathematics
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### Cited in 18 Fields

 149 Functions of a complex variable (30-XX) 55 Ordinary differential equations (34-XX) 12 Potential theory (31-XX) 10 Several complex variables and analytic spaces (32-XX) 9 Dynamical systems and ergodic theory (37-XX) 3 Number theory (11-XX) 3 Special functions (33-XX) 3 Difference and functional equations (39-XX) 3 Differential geometry (53-XX) 2 Global analysis, analysis on manifolds (58-XX) 1 Field theory and polynomials (12-XX) 1 Sequences, series, summability (40-XX) 1 Approximations and expansions (41-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Functional analysis (46-XX) 1 Probability theory and stochastic processes (60-XX) 1 Statistics (62-XX) 1 Information and communication theory, circuits (94-XX)