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Books > Science & Mathematics > Mathematics > Combinatorics & graph theory
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Elliptic Polynomials (Paperback)
Loot Price: R2,043
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Elliptic Polynomials (Paperback)
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A remarkable interplay exists between the fields of elliptic
functions and orthogonal polynomials. In the first monograph to
explore their connections, Elliptic Polynomials combines these two
areas of study, leading to an interesting development of some basic
aspects of each. It presents new material about various classes of
polynomials and about the odd Jacobi elliptic functions and their
inverses. The term elliptic polynomials refers to the polynomials
generated by odd elliptic integrals and elliptic functions. In
studying these, the authors consider such things as orthogonality
and the construction of weight functions and measures, finding
structure constants and interesting inequalities, and deriving
useful formulas and evaluations. Although some of the material may
be familiar, it establishes a new mathematical field that
intersects with classical subjects at many points. Its wealth of
information on important properties of polynomials and clear,
accessible presentation make Elliptic Polynomials valuable to those
in real and complex analysis, number theory, and combinatorics, and
will undoubtedly generate further research.
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