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Asymptotic expansions of a class of hypergeometric polynomials with respect to the order. (English) Zbl 0113.28005

Full Text: DOI
[1] Luke, Y. L.: On economic representations of transcendental functions. J. math. Phys. 38, 297 (1960) · Zbl 0168.15102
[2] Szegö, Gabor: Orthogonal polynomials. Am. math. Soc. colloq. Publ. 23 (1939)
[3] Erdélyi, A.; Magnus, W.; Oberhettinger, F.; Tricomi, F. G.: Higher transcendental functions. 1 and 2 (1953) · Zbl 0051.30303
[4] Erdélyi, A.: Asymptotic expansions. (1956) · Zbl 0070.29002
[5] Hardy, G. H.; Wright, E. M.: An introduction to the theory of numbers. Theorem 402, 325 (1956) · Zbl 0020.29201
[6] Meijer, C. S.: On the G-function. Koninkl. ned. Akad. wetenschap. Proc. ser. A 49, 1165-1175 (1946)
[7] Rice, S. O.: Some properties of 3F2(- n, n + 1, ${\zeta}$; 1, p; ${\nu}$). Duke math. J. 6, 108-119 (1940) · Zbl 0026.31401