Geodesic
Extensions of Vandermonde Type Convolutions withSeveral Summations and their Applications - II
Canadian mathematical bulletin, Tome 12 (1969) no. 1, pp. 63-74

Voir la notice de l'article provenant de la source Cambridge University Press

In earlier papers [3] and [4] some Vandermonde type convolution identities with several summations were established which were the extensions of Gould's work that involved one summation. Furthermore, these identities were utilized to obtain some inverse series relations for functions of several variables. As a continuation, this paper deals with some further generalizations of Gould's work in [1] and [2]. 
Extensions of Vandermonde Type Convolutions withSeveral Summations and their Applications - II. Canadian mathematical bulletin, Tome 12 (1969) no. 1, pp. 63-74. doi: 10.4153/CMB-1969-007-0
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[1] 1. Gould, H. W., Inverse series relations and other expansions involving Humbert polynomials. Duke Math. J. 32 (1965) 697–711. Google Scholar

[2] 2. Gould, H. W., The construction of orthogonal and quasi-orthogonal number sets. Amer. Math. Monthly 72 (1965) 591–602. Google Scholar

[3] 3. Mohanty, S. G., Some convolutions with multinomial coefficients and related probability distributions. SIAM Review 8 (1966) 501–509. Google Scholar

[4] 4. Mohanty, S. G. and Handa, B.R., Extensions of Vandermonde type convolutions with several summations and their applications - I. Canad. Math. Bull. 12 (1969) 45–62. Google Scholar

[5] 5. Riordan, J., Inverse relations and combinatorial identities. Amer. Math. Monthly 71 (1964) 485–498. Google Scholar

[6] 6. Tauber, S., On multinomial coefficients. Amer. Math. Monthly 70 (1963) 1058–1063. Google Scholar

[7] 7. Tauber, S., On two classes of quasi-orthogonal numbers. Amer, Math. Monthly 72 (1965) 602–606. Google Scholar

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