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11: 6.17 Physical Applications
For applications in astrophysics, see also van de Hulst (1980). …
12: 34 3j, 6j, 9j Symbols
13: Javier Segura
… …
14: 9.16 Physical Applications
Details of the Airy theory are given in van de Hulst (1957) in the chapter on the optics of a raindrop. … An application of Airy functions to the solution of this equation is given in Gramtcheff (1981). … These first appeared in connection with the equation governing the evolution of long shallow water waves of permanent form, generally called solitons, and are predicted by the Korteweg–de Vries (KdV) equation (a third-order nonlinear partial differential equation). …
15: 18 Orthogonal Polynomials
… …
16: 26.20 Physical Applications
Other articles on this subject are de Bruijn (1981) and Rouvray (1995). …
17: Bibliography J
  • L. Jager (1997) Fonctions de Mathieu et polynômes de Klein-Gordon. C. R. Acad. Sci. Paris Sér. I Math. 325 (7), pp. 713–716 (French).
  • L. Jager (1998) Fonctions de Mathieu et fonctions propres de l’oscillateur relativiste. Ann. Fac. Sci. Toulouse Math. (6) 7 (3), pp. 465–495 (French).
  • D. J. Jeffrey, R. M. Corless, D. E. G. Hare, and D. E. Knuth (1995) Sur l’inversion de y α e y au moyen des nombres de Stirling associés. C. R. Acad. Sci. Paris Sér. I Math. 320 (12), pp. 1449–1452.
  • G. Julia (1918) Memoire sur l’itération des fonctions rationnelles. J. Math. Pures Appl. 8 (1), pp. 47–245 (French).
  • 18: 30.12 Generalized and Coulomb Spheroidal Functions
    30.12.1 d d z ( ( 1 z 2 ) d w d z ) + ( λ + α z + γ 2 ( 1 z 2 ) μ 2 1 z 2 ) w = 0 ,
    30.12.2 d d z ( ( 1 z 2 ) d w d z ) + ( λ + γ 2 ( 1 z 2 ) α ( α + 1 ) z 2 μ 2 1 z 2 ) w = 0 ,
    19: 30.2 Differential Equations
    30.2.1 d d z ( ( 1 z 2 ) d w d z ) + ( λ + γ 2 ( 1 z 2 ) μ 2 1 z 2 ) w = 0 .
    30.2.4 ( ζ 2 γ 2 ) d 2 w d ζ 2 + 2 ζ d w d ζ + ( ζ 2 λ γ 2 γ 2 μ 2 ζ 2 γ 2 ) w = 0 .
    20: Diego Dominici
     2023) studied Pure Mathematics at the Universidad de Buenos Aires, Argentina, and did his Ph. …