Hostname: page-component-7bb8b95d7b-dvmhs Total loading time: 0 Render date: 2024-09-11T19:23:15.218Z Has data issue: false hasContentIssue false
  • English
  • Français

A generalized Vandermonde-type convolution and associated inverse series relations

Published online by Cambridge University Press:  24 October 2008

S. G. Mohanty  and
B. R. Handa
S. G. Mohanty
Affiliation:
Indian Institute of Technology Haus Khas, New Delhi (India)
B. R. Handa
Affiliation:
Indian Institute of Technology Haus Khas, New Delhi (India)
Get access Rights & Permissions [Opens in a new window]

Extract

In (1) and (2), Gould has discussed some generalized Vandermonde-type convolution identities, for C coefficients satisfying

where

and

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 68 , Issue 2 , September 1970 , pp. 459 - 474
Copyright
Copyright © Cambridge Philosophical Society 1970

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

(1)Gould, H. W.Some generalizations of Vandermonde's convolution. Amer. Math. Monthly 63 (1956), 84–91.CrossRefGoogle Scholar
(2)Gould, H. W.Generalization of a theorem of Jensen concerning convolutions. Duke Math. J. 27 (1960), 71–76.Google Scholar
(3)Gould, H. W.A new convolution formula and some new orthogonal relations for inversion of series. Duke Math. J. 29 (1962), 393–404.CrossRefGoogle Scholar
(4)Gould, H. W.The construction of orthogonal and quasi-orthogonal number sets. Amer. Math. Monthly 72 (1965), 591–602.CrossRefGoogle Scholar
(5)Mohanty, S. G.Restricted compositions. Fibonacci Quart. 5 (1967), 223–234.Google Scholar
(6)Riordan, J.Inverse relations and combinatorial identities. Amer. Math. Monthly 71 (1964), 485–498.CrossRefGoogle Scholar
(7)Tauber, S.On quasi.orthogonal numbers. Amer. Math. Monthly 69 (1962), 365–372.CrossRefGoogle Scholar