CATALAN MATRIX, BINOMIAL MATRIX, AND A NEWLY CONSTRUCTED ATALAN BINOMIAL INFINITE MATRIX METHOD WITH APPLICATION IN SUMMABILITY.

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dc.contributor.authorNKUNO, DAUDA INUWA
dc.date.accessioned2025-09-04T10:21:47Z
dc.date.issued2025-04-30
dc.descriptionDAUDA INUWA NKUNO
dc.description.abstractInfinite matrices plays crucial roles in sequence and series spaces particularly in the summation of the divergent sequences and series. This paper explores the construction of a new matrix based summability method using the Catalan and the Binomial Matrices as the Base Matrix for its generation. The inverse of the Catalan and the Binomial Matrices were Obtained Under some imposed conditions and later on were characterized and applied to summability of some divergent sequences and series. The inverse of newly constructed infinite matrix was obtain and later on was characterized and applied to the summation of some the summation of some divergent sequences and series. Further, we presented every application alongside with its geometric view to clearly justify our results.
dc.description.provenanceSubmitted by Dauda Inuwa NKUNO (daudainuwa0@gmail.com) on 2025-08-30T21:20:07Z workflow start=Step: reviewstep - action:claimaction No. of bitstreams: 3 CATALAN BINOMIAL METHOD.pdf: 339079 bytes, checksum: a4eef2e0859f0a16099a3d6f67d06285 (MD5) CATALAN BINOMIAL METHOD.pdf: 339079 bytes, checksum: a4eef2e0859f0a16099a3d6f67d06285 (MD5) CATALAN BINOMIAL METHOD.pdf: 339079 bytes, checksum: a4eef2e0859f0a16099a3d6f67d06285 (MD5)en
dc.description.provenanceStep: reviewstep - action:reviewaction Approved for entry into archive by Jo Havemann (jo@africarxiv.org) on 2025-09-04T10:21:47Z (GMT)en
dc.description.provenanceMade available in DSpace on 2025-09-04T10:21:47Z (GMT). No. of bitstreams: 3 CATALAN BINOMIAL METHOD.pdf: 339079 bytes, checksum: a4eef2e0859f0a16099a3d6f67d06285 (MD5) CATALAN BINOMIAL METHOD.pdf: 339079 bytes, checksum: a4eef2e0859f0a16099a3d6f67d06285 (MD5) CATALAN BINOMIAL METHOD.pdf: 339079 bytes, checksum: a4eef2e0859f0a16099a3d6f67d06285 (MD5) Previous issue date: 2025-04-30en
dc.description.sponsorshipSelf
dc.identifier.urihttps://africarxiv.ubuntunet.net/handle/1/10300
dc.identifier.urihttps://doi.org/10.60763/africarxiv/10059
dc.language.isoen
dc.subjectCatalan Binomial Matrix
dc.subjectCatalan number
dc.subjectCatalan Matrix
dc.subjectSummability and Summability method.
dc.titleCATALAN MATRIX, BINOMIAL MATRIX, AND A NEWLY CONSTRUCTED ATALAN BINOMIAL INFINITE MATRIX METHOD WITH APPLICATION IN SUMMABILITY.
dc.typeThesis

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