automorphisms

SearchAdvancedHelp

(0.000 seconds)

5 matching pages

1: 31.2 Differential Equations

… ►

§31.2(v) Heun’s Equation Automorphisms

►

$F$-Homotopic Transformations

… ►

Homographic Transformations

… ►

Composite Transformations

… ►Except for the identity automorphism, each alters the parameters.

2: 31.8 Solutions via Quadratures

… ►Lastly, ${\lambda }_j$, $j=1,2,\mathrm{\dots },2g+1$, are the zeros of the Wronskian of $w_{+}(𝐦;\lambda ;z)$ and $w_{-}(𝐦;\lambda ;z)$. ►By automorphisms from §31.2(v), similar solutions also exist for $m_0,m_1,m_2,m_3\in \mathbb{Z}$, and ${\mathrm{\Psi }}_{g,N}(\lambda ,z)$ may become a rational function in $z$. …

3: 31.3 Basic Solutions

… ►

§31.3(iii) Equivalent Expressions

… ►Each is related to the solution (31.3.1) by one of the automorphisms of §31.2(v). There are 192 automorphisms in all, so there are $192/8=24$ equivalent expressions for each of the 8. …

4: Bibliography T

… ►

Algebraic transformations of hypergeometric functions and automorphic forms on Shimura curves. Trans. Amer. Math. Soc. 365 (12), pp. 6697–6729.

ⓘ

External Links:

ISSN 0002-9947, Document, FullText, MathReview (John M. Voight), ZentralBlatt

Referenced by:

§15.8(v), §15.8(v).

Encodings:

BibTeX

…

5: Bibliography S

… ►

Topics in Complex Function Theory. Vol. II: Automorphic Functions and Abelian Integrals. Interscience Tracts in Pure and Applied Mathematics, No. 25, Wiley-Interscience [John Wiley & Sons Inc.], New York.

ⓘ

Notes:

Translated from the original German by A. Shenitzer and M. Tretkoff. Reprinted by John Wiley & Sons, New York, 1988.

External Links:

ISBN 0-471-79080-X, MathReview, ZentralBlatt

Referenced by:

Ch.21.

Encodings:

BibTeX

…