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1: 34.10 Zeros
For further information, including examples of nontrivial zeros and extensions to 9 j symbols, see Srinivasa Rao and Rajeswari (1993, pp. 133–215, 294–295, 299–310).
2: Bibliography D
  • B. Davies (1973) Complex zeros of linear combinations of spherical Bessel functions and their derivatives. SIAM J. Math. Anal. 4 (1), pp. 128–133.
  • P. Di Francesco, P. Ginsparg, and J. Zinn-Justin (1995) 2 D gravity and random matrices. Phys. Rep. 254 (1-2), pp. 1–133.
  • T. M. Dunster (2001b) Uniform asymptotic expansions for Charlier polynomials. J. Approx. Theory 112 (1), pp. 93–133.
  • T. M. Dunster (2003b) Uniform asymptotic expansions for associated Legendre functions of large order. Proc. Roy. Soc. Edinburgh Sect. A 133 (4), pp. 807–827.
  • 3: 6.7 Integral Representations
    For collections of integral representations see Bierens de Haan (1939, pp. 56–59, 72–73, 82–84, 121, 133–136, 155, 179–181, 223, 225–227, 230, 259–260, 374, 377, 397–398, 408, 416, 424, 431, 438–439, 442–444, 488, 496–500, 567–571, 585, 602, 638, 675–677), Corrington (1961), Erdélyi et al. (1954a, vol. 1, pp. 267–270), Geller and Ng (1969), Nielsen (1906b), Oberhettinger (1974, pp. 244–246), Oberhettinger and Badii (1973, pp. 364–371), and Watrasiewicz (1967).
    4: Bibliography E
  • Á. Elbert (2001) Some recent results on the zeros of Bessel functions and orthogonal polynomials. J. Comput. Appl. Math. 133 (1-2), pp. 65–83.
  • 5: Bibliography
  • V. I. Arnol’d, S. M. Guseĭn-Zade, and A. N. Varchenko (1988) Singularities of Differentiable Maps. Vol. II. Birkhäuser, Boston-Berlin.
  • R. Askey, T. H. Koornwinder, and M. Rahman (1986) An integral of products of ultraspherical functions and a q -extension. J. London Math. Soc. (2) 33 (1), pp. 133–148.
  • 6: Bibliography P
  • R. B. Paris (1992b) Smoothing of the Stokes phenomenon using Mellin-Barnes integrals. J. Comput. Appl. Math. 41 (1-2), pp. 117–133.
  • 7: Bibliography T
  • N. M. Temme and J. L. López (2001) The Askey scheme for hypergeometric orthogonal polynomials viewed from asymptotic analysis. J. Comput. Appl. Math. 133 (1-2), pp. 623–633.
  • 8: Bibliography W
  • R. Wong and H. Y. Zhang (2007) Asymptotic solutions of a fourth order differential equation. Stud. Appl. Math. 118 (2), pp. 133–152.
  • 9: Bibliography M
  • D. S. Meek and D. J. Walton (1992) Clothoid spline transition spirals. Math. Comp. 59 (199), pp. 117–133.
  • L. Moser and M. Wyman (1958a) Asymptotic development of the Stirling numbers of the first kind. J. London Math. Soc. 33, pp. 133–146.
  • 10: Bibliography L
  • J. Lagrange (1770) Démonstration d’un Théoréme d’Arithmétique. Nouveau Mém. Acad. Roy. Sci. Berlin, pp. 123–133 (French).