On Some Bicomplex Modules
bicomplex sequences, module structure, module
Abstract
A class of entire bicomplex sequences denoted by B, studied by Srivastava & Srivastava in 2007 is studied and is shown to be a bicomplex module. The subclasses of this class, studied by Wagh in 2008, are also shown to be bicomplex modules. Further they have been shown to form module structure over the class B.
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References
Daniel Alpay, Maria Luna-Elizarrarás, Michael Shapiro, Daniele Struppa (2014) Basics of Functional Analysis with Bicomplex Scalars, and Bicomplex Schur Analysis.
G Price, Baley (1991) An Introduction to Multicomplex SPates and Functions.
C Segre Le Rappresentazioni Reali Delle Forme complesse e Gli Enti Iperalgebrici. 40, 413-467.
Rajiv Srivastava, K Srivastava, K Naveen (2007) On an entire function of an entire function defined by Dirichlet series. 18(2), 379-383.
Rajiv Srivastava (2008) Certain topological aspects of Bicomplex space. 2(2), 222-234.
Mamta Wagh (2014) On certain spaces of Bicomplex sequences. 7(1), 1-6.
Mamta Wagh (2014) On a Class of Bicomplex Sequences. 3(5), 158-171.
Published
2016-06-14
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