poristic polygon constructions

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21: 4.7 Derivatives and Differential Equations

… ►When $a^z$ is a general power, $\ln a$ is replaced by the branch of $\mathrm{Ln}a$ used in constructing $a^z$. …

22: Bibliography W

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Fast construction of the Fejér and Clenshaw-Curtis quadrature rules. BIT 46 (1), pp. 195–202.

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External Links:

ISSN 0006-3835, Document, MathReview Entry, ZentralBlatt

Referenced by:

§3.5(iv).

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Elliptic Functions. A Constructive Approach. John Wiley & Sons Ltd., Chichester-New York.

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ISBN 0-471-96531-6, MathReview (Glenn Stevens), ZentralBlatt

Referenced by:

§20.11(i), §20.4(i), §20.5(i), §20.5(iii), §20.6, §20.7(iv), §20.9(i), §20.9(ii), §20.9(ii), Ch.20, §22.1, §22.11, §22.12, §22.13(i), §22.16(i), §22.2, §22.20(ii), Figure 22.3.2, Figure 22.3.2, §22.4(i), §22.4(ii), §22.6(i), §22.6(iv), §22.7(i), §22.7(ii), §22.8(i), Ch.22, §23.1, §23.10(ii), §23.15(i), §23.17(i), §23.18, §23.2(i), §23.21(ii), §23.3(i), §23.3(ii), §23.5(i), §23.5(ii), §23.5(iii), §23.5(iv), §23.5(v), §23.6(i), §23.8(ii), Ch.23, §4.21(iii), Profile Peter L. Walker.

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23: 18.36 Miscellaneous Polynomials

… ►Similar OP’s can also be constructed for the Laguerre polynomials; see Koornwinder (1984b, (4.8)). … ►These results are proven in Everitt et al. (2004), via construction of a self-adjoint Sturm–Liouville operator which generates the $L_n^{(-k)}(x)$ polynomials, self-adjointness implying both orthogonality and completeness. …

24: Bibliography S

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Constructive Combinatorics. Springer-Verlag, New York.

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External Links:

ISBN 0-387-96347-2, MathReview (D. J. Kleitman), ZentralBlatt

Referenced by:

§26.22.

Encodings:

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On the derivative of the associated Legendre function of the first kind of integer degree with respect to its order (with applications to the construction of the associated Legendre function of the second kind of integer degree and order). J. Math. Chem. 46 (1), pp. 231–260.

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External Links:

ISSN 0259-9791, Document, FullText, MathReview, ZentralBlatt

Referenced by:

§14.11, §14.11.

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On the derivative of the associated Legendre function of the first kind of integer order with respect to its degree (with applications to the construction of the associated Legendre function of the second kind of integer degree and order). J. Math. Chem. 49 (7), pp. 1436–1477.

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External Links:

ISSN 0259-9791, Document, FullText, MathReview Entry, ZentralBlatt

Referenced by:

§14.11, §14.11.

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On parameter derivatives of the associated Legendre function of the first kind (with applications to the construction of the associated Legendre function of the second kind of integer degree and order). J. Math. Anal. Appl. 386 (1), pp. 332–342.

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External Links:

ISSN 0022-247X, Document, FullText, MathReview Entry, ZentralBlatt

Referenced by:

§14.11, §14.11.

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25: Bibliography V

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Construction of a crossing-symmetric, Regge-behaved amplitude for linearly rising trajectories. Il Nuovo Cimento A 57 (1), pp. 190–197.

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FullText

Referenced by:

§5.20.

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26: 1.10 Functions of a Complex Variable

… ►Branches can be constructed in two ways: … ► …

27: 10.73 Physical Applications

… ►and on separation of variables we obtain solutions of the form ${\mathrm{e}}^{\pm \mathrm{i}n\varphi }{\mathrm{e}}^{\pm \kappa z}{J}_n\left(\kappa r\right)$, from which a solution satisfying prescribed boundary conditions may be constructed. …

28: 22.18 Mathematical Applications

… ►a construction due to Abel; see Whittaker and Watson (1927, pp. 442, 496–497). …

29: 30.16 Methods of Computation

… ►For $d$ sufficiently large, construct the $d\times d$ tridiagonal matrix $𝐀=[A_{j,k}]$ with nonzero elements …

30: Bibliography I

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Centre for Experimental and Constructive Mathematics, Simon Fraser University, Canada.

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Notes:

From a decimal approximation, find the most likely exact value.

External Links:

Inverse Symbolic Calculator

Referenced by:

3rd item.

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