Normal families of bicomplex meromorphic functions

• Autorzy: Kuldeep Singh Charak , Dominic Rochon , Narinder Sharma
• Języki publikacji: EN

Abstrakty

EN

We introduce the extended bicomplex plane 𝕋̅, its geometric model: the bicomplex Riemann sphere, and the bicomplex chordal metric that enables us to talk about convergence of sequences of bicomplex meromorphic functions. Hence the concept of normality of a family of bicomplex meromorphic functions on bicomplex domains emerges. Besides obtaining a normality criterion for such families, the bicomplex analog of the Montel theorem for meromorphic functions and the fundamental normality tests for families of bicomplex holomorphic functions and bicomplex meromorphic functions are also obtained.

Kategorie tematyczne

• 30D30: Meromorphic functions, general theory
• 32A30: Other generalizations of function theory of one complex variable (should also be assigned at least one classification number from Section 30)
• 30G35: Functions of hypercomplex variables and generalized variables

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2012
• Tom: 103
• Numer: 3
• Strony: 303-317

Daty

wydano

2012

Twórcy

autor

Kuldeep Singh Charak

• Department of Mathematics, University of Jammu, Jammu-180 006, India

autor

Dominic Rochon

• Département de mathématiques, et d'informatique, Université du Québec à Trois-Rivières, C.P. 500 Trois-Rivières, Québec, Canada G9A 5H7

autor

Narinder Sharma

• Department of Mathematics, University of Jammu, Jammu-180 006, India

Identyfikatory

DOI

10.4064/ap103-3-6