Zobrazeno 1 - 10
of 22
pro vyhledávání: '"Abdelbaki Boutabaa"'
Publikováno v:
Indagationes Mathematicae. 31:921-933
In this paper, we study primeness and pseudo primeness of p -adic meromorphic functions. We also consider left (resp. right ) primeness of these functions. We give, in particular, sufficient conditions for a meromorphic function to satisfy such prope
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::964069a138f80b2b49fe1f46a8efb059
https://doi.org/10.1016/j.indag.2020.07.002
https://doi.org/10.1016/j.indag.2020.07.002
Publikováno v:
Indagationes Mathematicae. 27:112-123
Let K be a complete ultrametric algebraically closed field. In this article, we consider the functional equations ∑ i = 0 s g i ( x ) y ( q i x ) = h ( x ) and ∑ i = 0 s g i ( x ) y ( x + i ) = h ( x ) , where q is an element of K such that 0 | q
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9586772f22b4b34e404e482ddb33f20d
https://doi.org/10.1016/j.indag.2015.08.005
https://doi.org/10.1016/j.indag.2015.08.005
Publikováno v:
Bulletin des Sciences Mathématiques. 137:177-188
Let K be a complete ultrametric algebraically closed field and let M ( K ) be the field of meromorphic functions in all K . Let B ( X ) , A 0 ( X ) , … , A s ( X ) ( s ⩾ 1 ) be elements of K ( X ) such that A 0 ( X ) A s ( X ) ≠ 0 . This paper
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ad4cb55b07fcad4f057d83b59ff410ef
https://doi.org/10.1016/j.bulsci.2010.05.002
https://doi.org/10.1016/j.bulsci.2010.05.002
Publikováno v:
Contemporary Mathematics. :39-49
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::76d5c7961a0b7900ac21b42697403a86
https://doi.org/10.1090/conm/551/10901
https://doi.org/10.1090/conm/551/10901
Autor:
Abdelbaki Boutabaa
Publikováno v:
Indagationes Mathematicae. 20:397-413
Let K be a complete ultrametric algebraically closed field and let ℳ(d(0, Rℒ)) be the field of meromorphic functions inside the disk d(0,R−) = {x ∈ K ∣ ∣x∣ < R}. Let ℳb(d(0, Rℒ)) be the subfield of bounded meromorphic functions insi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2a706176f173b882b94ac008e611b3d0
https://doi.org/10.1016/s0019-3577(10)00005-4
https://doi.org/10.1016/s0019-3577(10)00005-4
Autor:
Abdelbaki Boutabaa, Alain Escassut
Publikováno v:
Glasgow Mathematical Journal. 49:121-126
Let K be an algebraically closed field of characteristic zero, complete with respect to an ultrametric absolute value. In a previous paper, we had found URSCM of 7 points for the whole set of unbounded analytic functions inside an open disk. Here we
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::555d907ae194fa618b11cd92d4e0f140
https://doi.org/10.1017/s0017089507003473
https://doi.org/10.1017/s0017089507003473
Autor:
Abdelbaki Boutabaa, Alain Escassut
Publikováno v:
Ultrametric Functional Analysis. :53-74
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::300aabd0febf58600280bf2cad0575ef
https://doi.org/10.1090/conm/319/05565
https://doi.org/10.1090/conm/319/05565
Autor:
Alain Escassut, Abdelbaki Boutabaa
Publikováno v:
Complex Variables, Theory and Application: An International Journal. 47:409-415
Let $ \cal W $ be the set of entire functions equal to a Weierstrass product of the form $ {f(x)= Ax^q\lim_{r \to \infty} \prod_{|a_j|\leq r}{(1- \fraca {x} {a_j})}} $ where the convergence is uniform in all bounded subsets of $ {\shadC} $ , let $ \c
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b3724df2088c5ff610289fb1eea41d2c
https://doi.org/10.1080/02781070290013767
https://doi.org/10.1080/02781070290013767
Autor:
Abdelbaki Boutabaa, Alain Escassut
Publikováno v:
Proceedings of the Edinburgh Mathematical Society. 44:485-504
Let $K$ be an algebraically closed field of characteristic zero, complete for an ultrametric absolute value. We show that the $p$-adic main Nevanlinna Theorem holds for meromorphic functions inside an ‘open’ disc in $K$. Let $P_{n,c}$ be the Fran
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::6d538c391bdfcf446e61cd3c55fc597d
https://doi.org/10.1017/s0013091599000759
https://doi.org/10.1017/s0013091599000759
Autor:
Abdelbaki Boutabaa
Publikováno v:
Journal of Number Theory. 87:301-305
Let Q be the algebraic closure of Q in the field Cp of p-adic numbers. In an earlier paper (1997, in Lecture Notes in Pure and Appl. Math., Vol. 192, pp. 49–59, Dekker, New York), we showed that if a function f(x) meromorphic in all Cp is a solutio
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2bd9b9b062c19a34f7453eb8e6e7fbb3
https://doi.org/10.1006/jnth.2000.2602
https://doi.org/10.1006/jnth.2000.2602