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- W4309012982 abstract "By establishing new multiple inverse series relations (with their connection coefficients being given by higher derivatives of fixed multivariate analytic functions), we illustrate a general framework to provide new proofs for MacMahon’s master theorem and the multivariate expansion formula due to Good (1960). Further multivariate extensions of the derivative identities due to Pfaff (1795) and Cauchy (1826) will be derived and the generalized multifold convolution identities due to Carlitz (1977) will be reviewed." @default.
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- W4309012982 date "2022-11-12" @default.
- W4309012982 modified "2023-09-26" @default.
- W4309012982 title "Multiple Derivative Inversions and Lagrange-Good Expansion Formulae" @default.
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- W4309012982 doi "https://doi.org/10.3390/math10224234" @default.
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