Abstract
In this brief chapter, we put together the basic special function properties of the theory. Starting from the right dual, the principal formula produces the matrix elements. They satisfy an addition formula according to the group law. They satisfy recurrence relations as well, which we will find in section two of this chapter. For quotient representations, we have previously seen a generating function for the matrix elements that can be found via the group law, and in section three we give a summation formula expressing the matrix elements for the quotient representation in terms of the general matrix elements
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© 1996 Kluwer Academic Publishers
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Feinsilver, P., Schott, R. (1996). Properties of matrix elements. In: Algebraic Structures and Operator Calculus. Mathematics and Its Applications, vol 347. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-0157-5_9
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DOI: https://doi.org/10.1007/978-94-009-0157-5_9
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-010-6557-3
Online ISBN: 978-94-009-0157-5
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