Browse > Article
http://dx.doi.org/10.11568/kjm.2018.26.4.629

RELATIVE ORDER AND RELATIVE TYPE BASED GROWTH PROPERTIES OF ITERATED P ADIC ENTIRE FUNCTIONS  

Biswas, Tanmay
Publication Information
Korean Journal of Mathematics / v.26, no.4, 2018 , pp. 629-663 More about this Journal
Abstract
Let us suppose that ${\mathbb{K}}$ be a complete ultrametric algebraically closed field and $\mathcal{A}$ (${\mathbb{K}}$) be the ${\mathbb{K}}$-algebra of entire functions on K. The main aim of this paper is to study some newly developed results related to the growth rates of iterated p-adic entire functions on the basis of their relative orders, relative type and relative weak type.
Keywords
p-adic entire function; growth; relative order; relative type; relative weak type; composition;
Citations & Related Records
Times Cited By KSCI : 1  (Citation Analysis)
연도 인용수 순위
1 L. Bernal, Orden relative de crecimiento de funciones enteras, Collect. Math. 39 (1988), 209-229.
2 J. P. Bezivin, K. Boussaf and A. Escassut, Zeros of the derivative of a p-adicmeromorphic function, Bulletin des Sciences Math ematiques 136 (8) (2012), 839-847.   DOI
3 J. P. Bezivin, K. Boussaf and A. Escassut, Some new and old results on zeros of the derivative of a p-adic meromorphic function, Contemp. Math., Amer. Math. Soc., 596 (2013), 23-30.
4 K. Boussaf, A. Escassut and J. Ojeda, Primitives of p-adic meromorphic functions, Contemp. Math. 551 (2011), 51-56.
5 K. Boussaf, A. Boutabaa and A. Escassut, Growth of p-adic entire functions and applications, Houston J. Math. 40 (3) (2014), 715-736.
6 K. Boussaf, A. Escassut and J. Ojeda, Growth of complex and p-adic meromor- phic functions and branched small functions, Bull. Belg. Math. Soc. - Simon Stevin, (2016).
7 K. Boussaf, A. Boutabaa and A. Escassut, Order, Type and Cotype of Growth for p-Adic Entire Functions: A Survey with Additional Properties, p-Adic Numbers Ultrametric Anal. Appl. 8 (4) (2016), 280-297.   DOI
8 A. Boutabaa, Theorie de Nevanlinna p-adique, Manuscripta Math. 67 (1990), 251-269.   DOI
9 T., Biswas, Some growth properties of composite p-adic entire functions on the basis of their relative order and relative lower order, Asian-Eur. J. Math. Accepted for publication (2018), https://doi.org/10.1142/S179355711950044X.
10 T. Biswas, Some growth aspects of composite p-adic entire functions in the light of their (p, q)-th relative order and (p, q)-th relative type, J. Chungcheong Math. Soc. 3 (4) (2018), 429-460.
11 A. Escassut, K. Boussaf and A. Boutabaa, Order, type and cotype of growth for p-adic entire functions, Sarajevo J. Math. 2 (25) (2016), 429-446.
12 A. Escassut, Analytic Elements in p-adic Analysis, World Scientific Publishing Co. Pte. Ltd. Singapore, (1995).
13 A. Escassut, p-adic Value Distribution, Some Topics on Value Distribution and Differentability in Complex and P-adic Analysis, p. 42-138. Math. Monogr., Series 11. Science Press.(Beijing 2008).
14 A. Escassut, Value Distribution in p-adic Analysis, World Scientific Publishing Co. Pte. Ltd. Singapore, (2015).
15 A. Escassut and J. Ojeda, Exceptional values of p-adic analytic functions and derivative, Complex Var. Elliptic Equ., 56 (1-4) (2011), 263-269.   DOI
16 A. Robert, A Course in P-Adic Analysis, Graduate texts. Springer (2000).
17 A. Escassut and J. Ojeda, The p-adic Hayman conjecture when n = 2, Complex Var. Elliptic Equ. 59 (10) (2014), 1452-1455.
18 P. C. Hu and C. C. Yang, Meromorphic Functions over non-Archimedean Fields, Kluwer Academic Publishers, (2000).
19 B. K. Lahiri and D. Banerjee, Relative fix points of entire functions, J. India Acad. Math. 19 (1) (1997), 87-97.
20 J. Ojeda, On Hayman's Conjecture over a p-adic field, Taiwanese J. Math., 12 (9) (2008), 2295-2313.   DOI
21 A. Escassut and J. Ojeda, Branched values and quasi-exceptional values for p-adic mermorphic functions, Houston J. Math. 39 (3) (2013), 781-795.