Counterexamples to bicomplex analogue of Bloch's principle and its converse

DOI10.1007/s11785-023-01380-6zbMath1522.30025OpenAlexW4383264578WikidataQ125027809 ScholiaQ125027809MaRDI QIDQ6175654

Shivani Pandita, Kuldeep Singh Charak, N. Sharma

Publication date: 24 July 2023

Published in: Complex Analysis and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11785-023-01380-6

zbMATH Keywords

bicomplex holomorphic functionsBloch's principlebicomplex normal families

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35) Normal functions of one complex variable, normal families (30D45) Meromorphic functions of one complex variable (general theory) (30D30)

Cites Work

• Two normality criteria and counterexamples to the converse of Bloch's principle
• Two normality criteria and the converse of the Bloch principle
• Normal families
• Bicomplex analogue of Zalcman lemma
• Bloch's principle
• Contributions to the theory of functions of a bicomplex variable
• Lappan's normality criterion in \(\mathbb{C}^n\)
• Bicomplex Holomorphic Functions
• SOME NORMALITY CRITERIA AND A COUNTEREXAMPLE TO THE CONVERSE OF BLOCH’S PRINCIPLE
• Introduction to Topological Manifolds
• Normal families of bicomplex meromorphic functions
• NORMAL FAMILIES OF BICOMPLEX HOLOMORPHIC FUNCTIONS
• Four Counterexamples to Bloch's Principle
• Normal families: New perspectives
• On Factorization of Bicomplex Meromorphic Functions
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