The q-binomial theorem and spectral symmetry

Bhatia R, Elsner L (1993)
Indagationes mathematicae 4(1): 11-16.

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In various contexts, several mathematicians have discovered a binomial theorem of the following form: Let T1,T2 be complex matrices such that T2T1 = qT1T2. Then (T1 + T2)n = SIGMA(k = 0)n alpha(n,k)(q)T1(k)T2n-k and the polynomials alpha(n,k)(q) are given explicitly. We describe an application of this result in our work on matrices whose eigenvalues have certain symmetries.
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Bhatia R, Elsner L. The q-binomial theorem and spectral symmetry. Indagationes mathematicae. 1993;4(1):11-16.
Bhatia, R., & Elsner, L. (1993). The q-binomial theorem and spectral symmetry. Indagationes mathematicae, 4(1), 11-16.
Bhatia, R., and Elsner, L. (1993). The q-binomial theorem and spectral symmetry. Indagationes mathematicae 4, 11-16.
Bhatia, R., & Elsner, L., 1993. The q-binomial theorem and spectral symmetry. Indagationes mathematicae, 4(1), p 11-16.
R. Bhatia and L. Elsner, “The q-binomial theorem and spectral symmetry”, Indagationes mathematicae, vol. 4, 1993, pp. 11-16.
Bhatia, R., Elsner, L.: The q-binomial theorem and spectral symmetry. Indagationes mathematicae. 4, 11-16 (1993).
Bhatia, Rajendra, and Elsner, Ludwig. “The q-binomial theorem and spectral symmetry”. Indagationes mathematicae 4.1 (1993): 11-16.
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