Double sequences of bi-complex numbers

DOI10.1007/S40010-024-00895-7MaRDI QIDQ6664015

Sujeet Kumar, Binod Chandra Tripathy

Publication date: 15 January 2025

Published in: Proceedings of the National Academy of Sciences, India. Section A. Physical Sciences (Search for Journal in Brave)

zbMATH Keywords

Euclidean normsymmetricsoliddouble sequencehyperbolic numberregular convergencebi-complex number

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35) Convergence and divergence of series and sequences (40A05) Sequence spaces (including Köthe sequence spaces) (46A45) Banach sequence spaces (46B45) Analysis on metric spaces (30L99)

Cites Work

• Extensions of the spaces \(c\) and \(c_ 0\) from single to double sequences
• On the theory of doubly infinite sequences of numbers.
• Lerappresentazioni reali delle forme complesse e gli enti iperalgebrici.
• A variation on \(N_\theta\) ward continuity
• On some double sequence spaces
• f-LACUNARY STATISTICAL CONVERGENCE AND STRONG f-LACUNARY SUMMABILITY OF ORDER α OF DOUBLE SEQUENCES
• STATISTICAL BOUNDED SEQUENCES OF BI-COMPLEX NUMBERS
• STATISTICAL CONVERGENCE IN A BICOMPLEX VALUED METRIC SPACE
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