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An umbral approach ...
Abstract
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- A general introduction is given to the logarithmic q-analogue formulation of mathematical expressions with a special focus on its use for matrix calculations. The fundamental definitions relevant to q-analogues of mathematical objects are given and form the basis for matrix formulations in the paper. The umbral approach is used to find q-analogues of significant matrices. Finally, as an explicit example, a new formula for q-Cauchy-Vandermonde determinant containing matrix elements equal to q-numbers introduced by Ward is proved by using a new type of q-Stirling numbers together with Lagrange interpolation in Z(q).
Ämnesord
- NATURVETENSKAP -- Matematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics (hsv//eng)
Nyckelord
- NWA q-addition
- Matrix power series
- q-Cauchy-Vandermonde determinant
- q-Stirling numbers
- q-Exponential function
- Ring
- LU factorization
Publikations- och innehållstyp
- ref (ämneskategori)
- art (ämneskategori)
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