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Extensions of Vandermonde Type Convolutions with Several Summations and their Applications - I

Published online by Cambridge University Press:  20 November 2018

S.G. Mohanty  and
B.R. Handa
S.G. Mohanty
Affiliation:
Indian Institute of Technology, New DelhiIndia
B.R. Handa
Affiliation:
Indian Institute of Technology, New DelhiIndia
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In an earlier paper [8], one of the authors has established some Vandermonde type convolution identities involving multinomial coefficients with several summations which evidently are regeneralizations of identities in [1] with one summation. In this paper similar identities are derived for coefficients (defined below) of a general type, in the line of the results in [2] and [3], Furthermore, in a series of papers [4], [5], [6], Gould has obtained results on inversion of series and on classical polynomials by an extensive use of these identities with one summation.

Information

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 12 , Issue 1 , February 1969 , pp. 45 - 62
Copyright
Copyright © Canadian Mathematical Society 1969

References

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