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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.


References [Enhancements On Off] (What's this?)

  • [1] J. L. Burchnall, "Some determinants with hypergeometric elements," Quart. J. Math. Oxford Ser., (2) v. 3, 1952, pp. 151-157. MR 14, 44. MR 0048634 (14:44a)
  • [2] J. L. Burchnall, "A method of evaluating certain determinants," Proc. Edinburgh Math. Soc., (2) v. 9, 1954, pp. 100-104. MR 16, 557. MR 0066329 (16:557g)
  • [3] J. L. Lavoie, "On the evaluation of certain determinants," Math. Comp., v. 18, 1964, pp. 653-659. MR 30 #703. MR 0170465 (30:703)
  • [4] John Riordan, Combinatorial Identities, Wiley, New York, 1968. MR 38 #53. MR 0231725 (38:53)

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Additional Information

DOI: https://doi.org/10.1090/S0025-5718-1970-0257106-9
Keywords: Evaluation of certain determinants, generalized hypergeometric functions, gamma functions
Article copyright: © Copyright 1970 American Mathematical Society

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