UNICITYOFMEROMORPHICFUNCTIONWITHTHEIRSHIFT OPERATORSHARINGSMALLFUNCTION

Authors

  • Chaithra C.N DepartmentofMathematics, PresidencyUniversity, Bengaluru-560064,Karnataka, INDIA
  • Jayarama H.R DepartmentofMathematics, PresidencyUniversity, Bengaluru-560064,Karnataka, INDIA
  • Naveenkumar S.H DepartmentofMathematics, PresidencyUniversity, Bengaluru-560064,Karnataka, INDIA
  • Rajeshwari S DepartmentofMathematics, BangaloreInstituteofTechnology, Bengaluru-560004,Karnataka, INDIA

DOI:

https://doi.org/10.56827/SEAJMMS.2023.1902.09

Keywords:

Uniqueness, Sharingvalue,MeromorphicFunctions, SmallFunctionandshiftoperator.

Abstract

In this paper, we introduce anewnotationof reduced linear shift operatorLr c(ϕ), andwiththeaidof thisnewoperator,westudytheuniqueness ofmeromorphic functionsϕ(z)andLr c(ϕ) share∞CMintheextendedcomplex plane. The resultsobtained inthepaper significantly improveaexistingresult. Further,usingthenotionofsets,wedealthesameproblem.Weexhibitahandful resulttojustifycertainstatementsrelevanttothecontentofthepaper.

Downloads

Published

2023-08-30

Issue

Vol. 19 No. 02 (2023): South East Asian Journal of Mathematics and Mathematical Sciences

Section

Articles