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The explicit formula for the lowest spherical function in the second family
Explicit lowest-spherical-function conjecture. For all $n\geq 3$ ,
Conjectureopencompact-gelfand-pairs matrix-valued-orthogonal-polynomials spherical-functionsarXiv posted 2 days ago
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The spherical-function identification for the second family of matrix-valued orthogonal polynomials
The second family is a one-parameter sequence of $2\times2$ matrix-valued orthogonal polynomials obtained from the compact Gelfand pair … and spherical functions of type…
Conjectureopencompact-gelfand-pairs matrix-valued-orthogonal-polynomials spherical-functionsarXiv posted 2 days ago

The explicit formula for the lowest spherical function in the second family