Published January 1, 2013 | Version v1
Publication Metadata-only

On the Iterated Exponent of Convergence of Solutions of Linear Differential Equations with Entire and Meromorphic Coefficients

Creators

  • 1. Université de Mostaganem

Description

We investigate the zeros of the difference of the derivative of solutions of the higher-order linear differential equationsf(k)+Ak-1(z)f(k-1)+⋯+A1(z)f′+A0(z)f=0and small functions, whereA0(z),…,Ak-1(z)are entire or meromorphic functions of finite iteratedporder.

⚠️ This is an automatic machine translation with an accuracy of 90-95%

Translated Description (Arabic)

نقوم بالتحقيق في أصفار اختلاف مشتقة حلول المعادلات التفاضلية الخطية ذات الترتيب الأعلى f(k)+Ak-1(z)f(k-1)+ +A1(z)f′+A0(z)f=0والدوال الصغيرة، حيثA0(z)،...،Ak-1(z)هي دوال كاملة أو مجسمة من أجل p المتكرر المحدود.

Translated Description (French)

Nous étudions les zéros de la différence de la dérivée des solutions des équations différentielles linéaires d'ordre supérieur f(k)+Ak-1(z)f(k-1)+ 0 +A1(z)f′+A0(z)f=0et des petites fonctions, oùA0(z),…,Ak-1(z)sont des fonctions entières ou méromorphes d'ordre p itéré fini.

Translated Description (Spanish)

Investigamos los ceros de la diferencia de la derivada de soluciones de las ecuaciones diferenciales lineales de orden superior f(k)+Ak-1(z)f(k-1)+A1(z)f′+A0(z)f=0y funciones pequeñas, dondeA0(z),…,Ak-1(z)son funciones enteras o meromórficas de orden p iterado finito.

Additional details

Additional titles

Translated title (Arabic)
على الأس المتكرر لتقارب حلول المعادلات التفاضلية الخطية مع المعاملات الكاملة والميرومورفية
Translated title (French)
Sur l'exposant itératif de convergence des solutions d'équations différentielles linéaires à coefficients entiers et méromorphes
Translated title (Spanish)
Sobre el exponente iterado de convergencia de soluciones de ecuaciones diferenciales lineales con coeficientes enteros y meromórficos

Identifiers

Other
https://openalex.org/W2077203663
DOI
10.1155/2013/429083

Is supplement to
https://openalex.org/W4313731559 (Other)
https://openalex.org/W2544423928 (Other)
https://openalex.org/W2187401768 (Other)
https://openalex.org/W2181743346 (Other)
https://openalex.org/W2181413294 (Other)
https://openalex.org/W2073681303 (Other)
https://openalex.org/W2062023542 (Other)
https://openalex.org/W2053286651 (Other)
https://openalex.org/W2052122378 (Other)
https://openalex.org/W2051487156 (Other)

GreSIS Basics Section

Is Global South Knowledge
Yes
Country
Algeria

References

  • https://openalex.org/W1530798444
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  • https://openalex.org/W1987981399
  • https://openalex.org/W2048157048
  • https://openalex.org/W2168420344
  • https://openalex.org/W4232814799
  • https://openalex.org/W4246910141