BILATERAL RELATION FOR GENERALIZED HYPERGEOMETRIC FUNCTION WITH SYLVESTER POLYNOMIAL

M. Joshi, N. Srimannarayana, M. V. Chakradhara Rao, Maddali Radha Madhavi, B. Satyanarayana · Advances in Mathematics Scientific Journal · 2020

This paper considers Linear two-parameter eigenvalue problems in terms of matrix operators.Generally, for spectral analysis two-parameter problem is reduced into a system of generalized eigenvalue problems using a special pair of determinant operator matrices on tensor product space.In this work, some inequalities on numerical range and numerical radius of this special pair of operator matrices arising from two-parameter problem will be derived.

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