W.L.C. Sargent introduced the class of sequences \(m(\phi )\) in 1970, which contains the absolutely summable sequence and is contained in the class of bounded sequences. Motivated by the rapid development of bicomplex analysis and its rich algebraic structure arising from idempotent decomposition, this paper extends the concept of Sargent-type sequence spaces to the bicomplex setting. In this direction, we introduce the class of sequences of bicomplex numbers of \(\ell _p\) -type, that is, \(m_\phi (\mathbb{B}\mathbb{C})\) . We examine its various algebraic and topological properties such as convexity, balancedness, barreledness, completeness, etc., and we also established some lemma and theorem. The proofs are mainly based on the idempotent representation of bicomplex numbers, which allows each bicomplex sequence to be written in terms of its complex components. By working componentwise, we apply known results from classical \(\ell _p\) -type sequence spaces and then extend them to the bicomplex setting. Based on this lemma and theorem, one can further study duality, matrix transformation, and compactness of this space.
