# representation by squares

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## 1—10 of 15 matching pages

##### 1: 27.13 Functions

###### §27.13(iv) Representation by Squares

…##### 2: 22.16 Related Functions

##### 3: Bibliography G

##### 4: Bibliography E

##### 5: 1.17 Integral and Series Representations of the Dirac Delta

###### §1.17 Integral and Series Representations of the Dirac Delta

… ►###### §1.17(ii) Integral Representations

… ►Then comparison of (1.17.2) and (1.17.9) yields the formal integral representation … ►###### Coulomb Functions (§33.14(iv))

… ►###### §1.17(iii) Series Representations

…##### 6: Bibliography M

##### 7: Bibliography

##### 8: 26.15 Permutations: Matrix Notation

*sign of the permutation*$\sigma $ is the sign of the determinant of its matrix representation. The

*inversion number*of $\sigma $ is a sum of products of pairs of entries in the matrix representation of $\sigma $: … ►Let ${r}_{j}(B)$ be the number of ways of placing $j$ nonattacking rooks on the squares of $B$. …

##### 9: Errata

Factors inside square roots on the right-hand sides of formulas (19.18.6), (19.20.10), (19.20.19), (19.21.7), (19.21.8), (19.21.10), (19.25.7), (19.25.10) and (19.25.11) were written as products to ensure the correct multivalued behavior.

*Reported by Luc Maisonobe on 2021-06-07*

Pochhammer symbol representations for the functions ${F}_{k}(\nu )$ and ${G}_{k}(\nu )$ were inserted.

Originally the matrix in the argument of the Gaussian hypergeometric function of matrix argument ${}_{2}F_{1}$ was written with round brackets. This matrix has been rewritten with square brackets to be consistent with the rest of the DLMF.

The Olver hypergeometric function $\mathbf{F}(a,b;c;z)$, previously omitted from the left-hand sides to make the formulas more concise, has been added. In Equations (15.6.1)–(15.6.5), (15.6.7)–(15.6.9), the constraint $$ has been added. In (15.6.6), the constraint $$ has been added. In Section 15.6 Integral Representations, the sentence immediately following (15.6.9), “These representations are valid when $$, except (15.6.6) which holds for $$.”, has been removed.