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A study on the growth of generalist iterated entire functions | ||
Journal of Hyperstructures | ||
دوره 9، شماره 2، اسفند 2020، صفحه 115-125 اصل مقاله (273.49 K) | ||
نوع مقاله: Research Paper | ||
شناسه دیجیتال (DOI): 10.22098/jhs.2020.2634 | ||
نویسنده | ||
Ratan Kumar Dutta* | ||
Department of Mathematics, Rishi Bankim Chandra College, West Bengal, Naihati743165, India | ||
چکیده | ||
In this paper we study growth properties of generalist iterated entire functions. | ||
کلیدواژهها | ||
Entire functions؛ Growth؛ Iteration | ||
مراجع | ||
[1] D. Banerjee and R. K. Dutta, The growth of iterated entire functions, Bulletin of Mathematical analysis and applications, 3(3) (2011), 35-49. [2] D. Banerjee and B. Mandal, Relative x points of a certain class of complex functions, Istanbul Univ. Sci. Fac. J. Math. Phys. Astr., 6, (2015), 15-25. [3] J. Clunie, The composition of entire and meromorphic functions, Mathematical essays dedicated to A. J. Macintyre, Ohio Univ. Press, (1970), 75-92. [4] R. K. Dutta, Further growth of iterated entire functions-I, Journal of Mathematical Inequalities, 5(4) (2011), 533-550. [5] R. K. Dutta, Growth of iterated entire functions in terms of its maximum term, Acta Universitatis Apulensis, 30 (2012), 209-219. [6] R. K. Dutta, The growth estimate of iterated entire functions, Acta Universitatis Apulensis, 34 (2013), 81-87. [7] W. K. Hayman, Meromorphic Functions, The Clarendon Press, Oxford, 1964. [8] I. Lahiri, Growth of composite integral functions, Indian J. Pure and Appl. Math., 20(9) (1989), 899-907. [9] I. Lahiri and S. K. Datta, On the growth of composite entire and meromorphic functions, Indian J. Pure and Appl. Math., 35(4) (2004), 525-543. [10] K. Niino and C. C. Yang, Some growth relationships on factors of two composite entire functions, Factorization Theory of Meromorphic Functions and Related Topics, Marcel Dekker Inc. (New York and Basel), (1982), 95-99. [11] D. Sato, On the rate of growth of entire functions of fast growth, Bull. Amer. Math. Soc., 69 (1963), 411-414. [12] A. P. Singh, Growth of composite entire functions, Kodai Math. J., 8 (1985), 99-102. | ||
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