# algebraic

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## 1—10 of 79 matching pages

##### 1: 17.16 Mathematical Applications

###### §17.16 Mathematical Applications

… ►In Lie algebras Lepowsky and Milne (1978) and Lepowsky and Wilson (1982) laid foundations for extensive interaction with $q$-series. …##### 2: 1 Algebraic and Analytic Methods

###### Chapter 1 Algebraic and Analytic Methods

…##### 3: 21.10 Methods of Computation

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Tretkoff and Tretkoff (1984). Here a Hurwitz system is chosen to represent the Riemann surface.

Deconinck and van Hoeij (2001). Here a plane algebraic curve representation of the Riemann surface is used.

##### 4: Wolter Groenevelt

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►Groenevelt has research interests in special functions, (matrix valued) orthogonal polynomials, moment problems, generalized Fourier transforms in relations with mathematical objects such as Lie algebras, quantum groups and affine Hecke algebras.
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##### 5: 29.17 Other Solutions

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###### §29.17(ii) Algebraic Lamé Functions

►Algebraic Lamé functions are solutions of (29.2.1) when $\nu $ is half an odd integer. They are algebraic functions of $\mathrm{sn}(z,k)$, $\mathrm{cn}(z,k)$, and $\mathrm{dn}(z,k)$, and have primitive period $8K$. …##### 6: Stephen M. Watt

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►His areas of research include algorithms and systems for computer algebra, programming languages and compilers, mathematical handwriting recognition and mathematical document analysis.
He was one of the original authors of the Maple and Axiom computer algebra systems, principal architect of the Aldor programming language and its compiler at IBM Research, and co-author of the MathML and InkML W3C standards.
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##### 7: 29 Lamé Functions

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##### 8: 10 Bessel Functions

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##### 9: 26.22 Software

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GAP (website). A system for computational discrete algebra.

Magma (website). A computational algebra system.

##### 10: Bruce R. Miller

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►While developing the supporting theories, he discovered a passion for symbolic computation and computer algebra.
…There, he carried out research in non-linear dynamics and celestial mechanics, developing a specialized computer algebra system for high-order Lie transformations.
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