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Some generalized hypergeometric polynomials
Author(s):
Mary Celine
Fasenmyer
Journal:
Bull. Amer. Math. Soc.
53
(1947),
806-812.
MathSciNet review:
0022276
Retrieve article in:
PDF
References |
Additional information
References:
- 1.
- P. Appell, Sur les fonctions hypergéométriques du plusieurs variables, Memorial des Sciences Mathématiques, vol. 111, Paris, Gauthiers-Villars, 1925.
- 2.
- W. N. Bailey, Generalized hypergeometric series, Cambridge Tract No. 32, London, Cambridge University Press, 1935.
- 3.
- H. Bateman, Some properties of a certain set of polynomials, Tohôku Math. J. vol. 37 (1933) pp. 23-38.
- 4.
- H. Bateman, Two systems of polynomials for the solution of Laplace's integral equation, Duke Math. J. vol. 2 (1936) pp. 569-577. MR 1545948
- 5.
- T. W. Chaundy, An extension of hypergometric functions, Quart. J. Math., Oxford Ser. vol. 14 (1943) pp. 55-78. MR 10749
- 6.
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- 7.
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- 8.
- S. Pasternack, A generalization of the polynomial F(x), Philosophical Magazine (7) vol. 28 (1939) pp. 209-226. MR 698
- 9.
- C. T. Preece, The products of two generalized hypergeometric functions, Proc. London Math. Soc. (2) vol. 22 (1924) pp. 370-380.
- 10.
- E. D. Rainville, Certain generating functions and associated polynomials, Amer. Math. Monthly vol. 52 (1945) pp. 239-250. MR 11751
- 11.
- E. D. Rainville, The contiguous function relations for (ζ, p, v), Bull. Amer. Math. Soc. vol. 51 (1945) pp. 714-723. MR 12726
- 12.
- S. O. Rice, Some properties of 3F2(−n, n+1, ζ; 1, p; v), Duke Math. J. vol. 6 (1940) pp. 108-119. MR 1412
Additional Information:
DOI:
10.1090/S0002-9904-1947-08893-5
PII:
S 0002-9904(1947)08893-5
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