Explicit expressions for the determinants of certain matrices
Authors:
J.-L. Lavoie and R. Michaud
Journal:
Math. Comp. 24 (1970), 151-154
MSC:
Primary 15.20; Secondary 65.00
DOI:
https://doi.org/10.1090/S0025-5718-1970-0257106-9
Corrigendum:
Math. Comp. 26 (1972), 309.
Corrigendum:
Math. Comp. 26 (1972), 309.
MathSciNet review:
0257106
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Abstract | References | Similar Articles | Additional Information
Abstract: Explicit expressions for the determinants of twenty particular $n$-square matrices are given.
- J. L. Burchnall, Some determinants with hypergeometric elements, Quart. J. Math. Oxford Ser. (2) 3 (1952), 151–157. MR 48634, DOI https://doi.org/10.1093/qmath/3.1.151
- J. L. Burchnall, A method of evaluating certain determinants, Proc. Edinburgh Math. Soc. (2) 9 (1954), 100–104. MR 66329, DOI https://doi.org/10.1017/S0013091500021362
- Jean-L. Lavoie, On the evaluation of certain determinants, Math. Comp. 18 (1964), 653–659. MR 170465, DOI https://doi.org/10.1090/S0025-5718-1964-0170465-8
- John Riordan, Combinatorial identities, John Wiley & Sons, Inc., New York-London-Sydney, 1968. MR 0231725
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Additional Information
Keywords:
Evaluation of certain determinants,
generalized hypergeometric functions,
gamma functions
Article copyright:
© Copyright 1970
American Mathematical Society
