Eisenstein convention

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11: Bibliography W

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Elliptic Functions According to Eisenstein and Kronecker. Classics in Mathematics, Springer-Verlag, Berlin.

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Notes:

Reprint of the 1976 original

External Links:

ISBN 3-540-65036-9, MathReview, ZentralBlatt

Referenced by:

§22.12, §23.8(ii).

Encodings:

BibTeX

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12: Guide to Searching the DLMF

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$	stands for any number of alphanumeric characters
	(the more conventional * is reserved for the multiplication operator)
…

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13: 18.20 Hahn Class: Explicit Representations

… ►Here we use as convention for (16.2.1) with $b_q=-N$, $a_1=-n$, and $n=0,1,\mathrm{\dots },N$ that the summation on the right-hand side ends at $k=n$. …

14: 16.11 Asymptotic Expansions

… ►with the same conventions on the phases of $z{e}^{\mp \pi i}$. … ►with the same conventions on the phases of $z{e}^{\mp \pi i}$. …

15: 18.26 Wilson Class: Continued

… ►Here we use as convention for (16.2.1) with $b_q=-N$, $a_1=-n$, and $n=0,1,\mathrm{\dots },N$ that the summation on the right-hand side ends at $k=n$. …

16: 18.21 Hahn Class: Interrelations

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Figure 18.21.1: Askey scheme. …(This is with the convention that the real and imaginary parts of the parameters are counted separately in the case of the continuous Hahn polynomials.) Magnify

17: 22.2 Definitions

… ►with the convention that functions with the same two letters are replaced by unity; e. …

18: 4.2 Definitions

… ►With this convention, …

19: 13.4 Integral Representations

… ►Similar conventions also apply to the remaining integrals in this subsection. …

20: 18.27 $q$-Hahn Class

… ►For (17.4.1) with $b_s=q^{-N}$, $a_0=q^{-m}$, and $m=0,1,\mathrm{\dots },N$ we will use the convention that the summation on the right-hand side ends at $n=m$. …