Extensions of Vandermonde Type Convolutions with Several Summations and their Applications - I
Canadian mathematical bulletin, Tome 12 (1969) no. 1, pp. 45-62
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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.
Mohanty, S.G.; Handa, B.R. Extensions of Vandermonde Type Convolutions with Several Summations and their Applications - I. Canadian mathematical bulletin, Tome 12 (1969) no. 1, pp. 45-62. doi: 10.4153/CMB-1969-006-4
@article{10_4153_CMB_1969_006_4,
author = {Mohanty, S.G. and Handa, B.R.},
title = {Extensions of {Vandermonde} {Type} {Convolutions} with {Several} {Summations} and their {Applications} - {I}},
journal = {Canadian mathematical bulletin},
pages = {45--62},
year = {1969},
volume = {12},
number = {1},
doi = {10.4153/CMB-1969-006-4},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1969-006-4/}
}
TY - JOUR AU - Mohanty, S.G. AU - Handa, B.R. TI - Extensions of Vandermonde Type Convolutions with Several Summations and their Applications - I JO - Canadian mathematical bulletin PY - 1969 SP - 45 EP - 62 VL - 12 IS - 1 UR - http://geodesic.mathdoc.fr/articles/10.4153/CMB-1969-006-4/ DO - 10.4153/CMB-1969-006-4 ID - 10_4153_CMB_1969_006_4 ER -
%0 Journal Article %A Mohanty, S.G. %A Handa, B.R. %T Extensions of Vandermonde Type Convolutions with Several Summations and their Applications - I %J Canadian mathematical bulletin %D 1969 %P 45-62 %V 12 %N 1 %U http://geodesic.mathdoc.fr/articles/10.4153/CMB-1969-006-4/ %R 10.4153/CMB-1969-006-4 %F 10_4153_CMB_1969_006_4
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