On Certain Bicomplex Duals

1
Mamta Amol Wagh
Mamta Amol Wagh
2
Sanjeev Kumar
Sanjeev Kumar
1 Deen Dayal Upadhyaya College, University of Delhi
2 P.E.C. University of Technology, Chandigarh.

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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.

14 Cites in Articles

References

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  10. Rajiv Srivastava (2007). On a class of Entire Bicomplex sequences.
  11. Rajiv Srivastava (2008). Certain topological aspects of Bicomplex space.
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Funding

No external funding was declared for this work.

Conflict of Interest

The authors declare no conflict of interest.

Ethical Approval

No ethics committee approval was required for this article type.

Data Availability

Not applicable for this article.

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): .

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GJSFR Volume 14 Issue F6
Pg. 17- 23
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Crossref Journal DOI 10.17406/GJSFR

Print ISSN 0975-5896

e-ISSN 2249-4626

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October 29, 2014

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English

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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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On Certain Bicomplex Duals

Mamta Amol Wagh
Mamta Amol Wagh Deen Dayal Upadhyaya College, University of Delhi
Sanjeev Kumar
Sanjeev Kumar P.E.C. University of Technology, Chandigarh.

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