=O 3
A01=J.S. Lomont
A01=John Brillhart
advanced polynomial inequalities
Author_J.S. Lomont
Author_John Brillhart
Borel Probability Measures
Category=PBD
Category=PBH
Category=PBK
Category=PBKF
Category=PBV
cSn
Distinct Zeros
Elliptic Polynomials
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
expansions
Favard's theorem
Follow
function
Hm
Hold
If C2
IJ
J =O A
J =O J =O
Jacobi elliptic functions
maclaurin
Maclaurin Expansions
MOMENT POLYNOMIALS
moment sequences
Monic Orthogonal Polynomial Sequence
number
Odd
Odd Function
Oo T2n
orthogonal
orthogonal polynomial theory
Orthogonal Polynomials
Orthogonal Sequences
Polynomial Sequences
real and complex analysis
Real Polynomial
Secondary Sequences
sequence
sequences
stirling
Structure Constants
t2n
weight
weight function construction
Product details
- ISBN 9781584882107
- Weight: 750g
- Dimensions: 156 x 234mm
- Publication Date: 31 Aug 2000
- Publisher: Taylor & Francis Inc
- Publication City/Country: US
- Product Form: Hardback
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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.
Lomont, J.S.; Brillhart, John
