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21: 22.16 Related Functions

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Special Values

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22: 11.10 Anger–Weber Functions

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§11.10(vii) Special Values

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23: 4.23 Inverse Trigonometric Functions

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§4.23(vii) Special Values and Interrelations

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24: 22.8 Addition Theorems

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§22.8(iii) Special Relations Between Arguments

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25: Bibliography

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Special value of the hypergeometric function ${}_3{}^{}F_2^{}$ and connection formulae among asymptotic expansions. J. Indian Math. Soc. (N.S.) 51, pp. 161–221.

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External Links:

ISSN 0019-5839, MathReview (R. A. Askey), ZentralBlatt

Referenced by:

§16.4(iii).

Encodings:

BibTeX

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26: 32.8 Rational Solutions

… ► ${\text{P}}_{\text{II}}$–${\text{P}}_{\text{VI}}$ possess hierarchies of rational solutions for special values of the parameters which are generated from “seed solutions” using the Bäcklund transformations and often can be expressed in the form of determinants. …

27: 32.2 Differential Equations

… ►However, for special values of the parameters, equations ${\text{P}}_{\text{II}}$–${\text{P}}_{\text{VI}}$ have special solutions in terms of elementary functions, or special functions defined elsewhere in the DLMF. …

28: 14.30 Spherical and Spheroidal Harmonics

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Special Values

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29: 32.11 Asymptotic Approximations for Real Variables

… ►There are two special values of $k$, $k_1$ and $k_2$, with the properties , , and such that: …

30: 17.6 ${}_2{}^{}\varphi _1^{}$ Function

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§17.6(i) Special Values

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