Edit Profile (opens in new tab) Miles, Joseph Compute Distance To: Compute 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 all top 5 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 all top 5 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) Publications by Year all cited Publications top 5 cited Publications 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 0643.30021Hayman, W. K.; Miles, Joseph 41 1989 On the growth of solutions of \(f''+gf'+hf=0\). Zbl 0719.34011Hellerstein, Simon; Miles, Joseph; Rossi, John 34 1991 On the growth of solutions of certain linear differential equations. Zbl 0759.34005Hellerstein, Simon; Miles, Joseph; Rossi, John 19 1992 An extremal problem in value-distribution theory. Zbl 0266.30034Miles, Joseph; Shea, Daniel F. 18 1973 Linear combinations of logarithmic derivatives of entire functions with applications to differential equations. Zbl 0861.30025Miles, J.; Rossi, John 16 1996 Quotient representations of meromorphic functions. Zbl 0247.30019Miles, Joseph 13 1972 On the growth of meromorphic functions having at least one deficient value. Zbl 0333.30017Miles, Joseph; Shea, Daniel F. 11 1976 A sharp form of the lemma on the logarithmic derivative. Zbl 0755.30030Miles, Joseph 9 1992 On entire functions of infinite order with radially distributed zeros. Zbl 0371.30024Miles, Joseph 6 1979 Bounds on the ratio \(n(r,\alpha)/S(r)\) for meromorphic functions. Zbl 0225.30032Miles, Joseph 5 1972 Representing a meromorphic function as the quotient of two entire functions of small characteristic. Zbl 0203.38202Miles, J. 5 1970 A note on Ahlfors’ theory of covering surfaces. Zbl 0172.37002Miles, J. 5 1969 Growth conditions for entire functions with only bounded Fatou components. Zbl 1183.30021Hinkkanen, Aimo; Miles, Joseph 5 2009 Zero sets in H\(^p\)(U\(^n\)). Zbl 0264.32001Miles, Joseph 3 1973 A characterization of the exponential function. Zbl 0545.30017Miles, Joseph; Williamson, Jack 3 1986 Some examples of the dependence of the Nevalinna deficiency upon the choice of origin. Zbl 0494.30030Miles, Joseph 3 1983 On the counting function for the a-values of a meromorphic function. Zbl 0194.11103Miles, J. 2 1970 On the growth of meromorphic functions with radially distributed zeros and poles. Zbl 0582.30020Miles, Joseph 2 1986 Imaginary values of meromorphic functions. Zbl 0349.30022Miles, Joseph; Townsend, Douglas 1 1978 On the growth of entire functions with zero sets having infinite exponent of convergence. Zbl 1021.30023Miles, Joseph 1 2002 On a conjecture of Fuchs. Zbl 1012.30021Miles, Joseph; Rossi, John 1 2001 A sharp form of the lemma on the logarithmic derivative. Zbl 0706.30023Miles, Joseph 1 1991 Growth conditions for entire functions with only bounded Fatou components. Zbl 1183.30021Hinkkanen, Aimo; Miles, Joseph 5 2009 On the growth of entire functions with zero sets having infinite exponent of convergence. Zbl 1021.30023Miles, Joseph 1 2002 On a conjecture of Fuchs. Zbl 1012.30021Miles, Joseph; Rossi, John 1 2001 Linear combinations of logarithmic derivatives of entire functions with applications to differential equations. Zbl 0861.30025Miles, J.; Rossi, John 16 1996 On the growth of solutions of certain linear differential equations. Zbl 0759.34005Hellerstein, Simon; Miles, Joseph; Rossi, John 19 1992 A sharp form of the lemma on the logarithmic derivative. Zbl 0755.30030Miles, Joseph 9 1992 On the growth of solutions of \(f''+gf'+hf=0\). Zbl 0719.34011Hellerstein, Simon; Miles, Joseph; Rossi, John 34 1991 A sharp form of the lemma on the logarithmic derivative. Zbl 0706.30023Miles, Joseph 1 1991 On the growth of a meromorphic function and its derivatives. Zbl 0643.30021Hayman, W. K.; Miles, Joseph 41 1989 A characterization of the exponential function. Zbl 0545.30017Miles, Joseph; Williamson, Jack 3 1986 On the growth of meromorphic functions with radially distributed zeros and poles. Zbl 0582.30020Miles, Joseph 2 1986 Some examples of the dependence of the Nevalinna deficiency upon the choice of origin. Zbl 0494.30030Miles, Joseph 3 1983 On entire functions of infinite order with radially distributed zeros. Zbl 0371.30024Miles, Joseph 6 1979 Imaginary values of meromorphic functions. Zbl 0349.30022Miles, Joseph; Townsend, Douglas 1 1978 On the growth of meromorphic functions having at least one deficient value. Zbl 0333.30017Miles, Joseph; Shea, Daniel F. 11 1976 An extremal problem in value-distribution theory. Zbl 0266.30034Miles, Joseph; Shea, Daniel F. 18 1973 Zero sets in H\(^p\)(U\(^n\)). Zbl 0264.32001Miles, Joseph 3 1973 Quotient representations of meromorphic functions. Zbl 0247.30019Miles, Joseph 13 1972 Bounds on the ratio \(n(r,\alpha)/S(r)\) for meromorphic functions. Zbl 0225.30032Miles, Joseph 5 1972 Representing a meromorphic function as the quotient of two entire functions of small characteristic. Zbl 0203.38202Miles, J. 5 1970 On the counting function for the a-values of a meromorphic function. Zbl 0194.11103Miles, J. 2 1970 A note on Ahlfors’ theory of covering surfaces. Zbl 0172.37002Miles, J. 5 1969 all cited Publications top 5 cited Publications all top 5 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 all top 5 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 all top 5 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) Citations by Year