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contiguous relations (Heine)

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21: 9 Airy and Related Functions
Chapter 9 Airy and Related Functions
22: 11 Struve and Related Functions
Chapter 11 Struve and Related Functions
23: 16.25 Methods of Computation
Methods for computing the functions of the present chapter include power series, asymptotic expansions, integral representations, differential equations, and recurrence relations. …There is, however, an added feature in the numerical solution of differential equations and difference equations (recurrence relations). …
24: 25.17 Physical Applications
§25.17 Physical Applications
This relates to a suggestion of Hilbert and Pólya that the zeros are eigenvalues of some operator, and the Riemann hypothesis is true if that operator is Hermitian. …
25: 16.24 Physical Applications
§16.24(iii) 3 j , 6 j , and 9 j Symbols
The coefficients of transformations between different coupling schemes of three angular momenta are related to the Wigner 6 j symbols. …
26: 29 Lamé Functions
27: B. L. J. Braaksma
He has published numerous papers on special functions and related topics. …
28: Simon Ruijsenaars
His main research interests cover integrable systems, special functions, analytic difference equations, classical and quantum mechanics, and the relations between these areas. …
29: 14.12 Integral Representations
Heine’s Integral
30: 13.18 Relations to Other Functions
§13.18 Relations to Other Functions
§13.18(i) Elementary Functions
§13.18(iv) Parabolic Cylinder Functions
§13.18(v) Orthogonal Polynomials
Laguerre Polynomials