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McMahon asymptotic expansions

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1: 10.21 Zeros
§10.21(vi) McMahon’s Asymptotic Expansions for Large Zeros
2: Bibliography E
  • Á. Elbert and A. Laforgia (2000) Further results on McMahon’s asymptotic approximations. J. Phys. A 33 (36), pp. 6333–6341.
  • E. Elizalde (1986) An asymptotic expansion for the first derivative of the generalized Riemann zeta function. Math. Comp. 47 (175), pp. 347–350.
  • D. Elliott (1971) Uniform asymptotic expansions of the Jacobi polynomials and an associated function. Math. Comp. 25 (114), pp. 309–315.
  • A. Erdélyi (1944) Certain expansions of solutions of the Heun equation. Quart. J. Math., Oxford Ser. 15, pp. 62–69.
  • A. Erdélyi (1956) Asymptotic Expansions. Dover Publications Inc., New York.
  • 3: Bibliography M
  • A. J. MacLeod (2002a) Asymptotic expansions for the zeros of certain special functions. J. Comput. Appl. Math. 145 (2), pp. 261–267.
  • J. P. McClure and R. Wong (1978) Explicit error terms for asymptotic expansions of Stieltjes transforms. J. Inst. Math. Appl. 22 (2), pp. 129–145.
  • J. P. McClure and R. Wong (1979) Exact remainders for asymptotic expansions of fractional integrals. J. Inst. Math. Appl. 24 (2), pp. 139–147.
  • J. McMahon (1894) On the roots of the Bessel and certain related functions. Ann. of Math. 9 (1-6), pp. 23–30.
  • H. J. W. Müller (1966c) On asymptotic expansions of ellipsoidal wave functions. Math. Nachr. 32, pp. 157–172.