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We investigated certain bicomplex duals of the class of bicomplex sequences defined by Srivastava & Srivastava [S2] and of the subclasses defined by Nigam [N1] and Wagh [W2]. KΓΆthe & Toeplitz duals for bicomplex sequence spaces, defined and studied in [W3], have been extended further. Two types of duals namely Ξ±Ξ² -dual and Ξ²Ξ± -dual have been defined and relations between these duals and the duals of classes defined by [S2] and subclasses defined by [W2] have been established. Relation between these duals and the i 2 -conjugate of a bicomplex number is also studied.
Mamta Amol Wagh. 2014. \u201cOn Certain Bicomplex Duals\u201d. Global Journal of Science Frontier Research - F: Mathematics & Decision GJSFR-F Volume 14 (GJSFR Volume 14 Issue F6): .
Crossref Journal DOI 10.17406/GJSFR
Print ISSN 0975-5896
e-ISSN 2249-4626
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Total Score: 102
Country: India
Subject: Global Journal of Science Frontier Research - F: Mathematics & Decision
Authors: Mamta Amol Wagh, Sanjeev Kumar (PhD/Dr. count: 0)
View Count (all-time): 169
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Publish Date: 2014 10, Wed
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We investigated certain bicomplex duals of the class of bicomplex sequences defined by Srivastava & Srivastava [S2] and of the subclasses defined by Nigam [N1] and Wagh [W2]. KΓΆthe & Toeplitz duals for bicomplex sequence spaces, defined and studied in [W3], have been extended further. Two types of duals namely Ξ±Ξ² -dual and Ξ²Ξ± -dual have been defined and relations between these duals and the duals of classes defined by [S2] and subclasses defined by [W2] have been established. Relation between these duals and the i 2 -conjugate of a bicomplex number is also studied.
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