On the Extended Class of SUPM and Their Generating URSM Over Non-Archimedean Field

被引：3

作者：

Banerjee, Abhijit ^{[1
]}

Maity, Sayantan ^{[1
]}

机构：

[1] Univ Kalyani, Dept Math, Kalyani 741235, W Bengal, India

来源：

P-ADIC NUMBERS ULTRAMETRIC ANALYSIS AND APPLICATIONS | 2021年 / 13卷 / 03期

关键词：

non-Archimedean; meromorphic function; strong uniqueness polynomial; unique range set; ADIC MEROMORPHIC FUNCTIONS; UNIQUENESS POLYNOMIALS; RANGE SETS; BI-URS;

D O I：

10.1134/S2070046621030018

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this article, we investigate an extended class of strong uniqueness polynomial over non-Archimedean field than that was recently studied by Khoai-An [p-Adic Numb. Ultrametr. Anal. Appl. 12 (4), 276-284 (2020)]. We also find the unique range set of weight 2 corresponding to the SUPM which improve and generalize significantly the results of the paper of Khoai-An [p-Adic Numb. Ultrametr. Anal. Appl. 12 (4), 276-284 (2020)] and an earlier one due to Hu-Yang [Acta Math. Viet. 24 (1), 95-108 (1999)].

引用

页码：175 / 185

页数：11

共 25 条

[1]

An V.H., 2012, UKRANIAN MATH J, V64, P147, DOI DOI 10.1007/S11253-012-0636-Y

[2]

Banerjee A., 2013, NIHONKAI MATH J, V24, P121

[3]

Banerjee A, 2010, TAMKANG J MATH, V41, P379

[4] A NEW CLASS OF STRONG UNIQUENESS POLYNOMIALS SATISFYING FUJIMOTO'S CONDITION [J].

Banerjee, Abhijit .

ANNALES ACADEMIAE SCIENTIARUM FENNICAE-MATHEMATICA, 2015, 40 (01) :465-474

[5] A Uniqueness Polynomial Generating a Unique Range Set and Vice Versa [J].

Banerjee, Abhijit ;

Lahiri, Indrajit .

COMPUTATIONAL METHODS AND FUNCTION THEORY, 2012, 12 (02) :527-539

[6] p-Adic meromorphic functions f′ P′(f), g′ P′(g) sharing a small function [J].

Boussaf, Kamal ;

Escassut, Alain ;

Ojeda, Jacqueline .

BULLETIN DES SCIENCES MATHEMATIQUES, 2012, 136 (02) :172-200

[7] Urs and ursims for p-adic meromorphic functions inside a disc [J].

Boutabaa, A ;

Escassut, A .

PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY, 2001, 44 :485-504

[8] On uniqueness of p-adic meromorphic functions [J].

Boutabaa, A ;

Escassut, A .

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1998, 126 (09) :2557-2568

[9] The functional equation P(f) = Q(g) in a p-adic field [J].

Escassut, A ;

Yang, CC .

JOURNAL OF NUMBER THEORY, 2004, 105 (02) :344-360

[10] Urs, ursim, and non-urs for p-adic functions and polynomials [J].

Escassut, A ;

Haddad, L ;

Vidal, R .

JOURNAL OF NUMBER THEORY, 1999, 75 (01) :133-144

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