Glasnik matematički, Vol. 33 No. 1, 1998.
Original scientific paper
Generating functions and combinatorial identities
Chu Wenchang
Abstract
Computation of generating functions for renewal sequences is performed by means of the multivariate Lagrange expansion formulae dus to Good (1960), which yields the multifold analogue of Carlitz mixed generating function. As applications, the natural transition is demonstrated from Euler's binomial theorem and the classical Vandermonde convolution formula to Abel identities and Hagen-Rothe formulas, as well as their multifold analogues due to Mohanty & Handa (1969) and Carlitz (1977), respectively.
Keywords
Binomial coefficients; multinomial coefficients; Vandermonde convolutions; generating functions; Lagrange inversion formulae
Hrčak ID:
8166
URI
Publication date:
1.6.1998.
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