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A Note on the Jensen-Gould Convolutions

Published online by Cambridge University Press:  20 November 2018

M. E. Cohen  and
H. S. Sun
M. E. Cohen
Affiliation:
Department of Mathematics California State University, Fresno
H. S. Sun
Affiliation:
Department of Mathematics California State University, Fresno
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Abstract

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With the aid of a recent result obtained by the first author, an expression is derived which unifies the well-known Jensen and Gould formulas.

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 23 , Issue 3 , 01 September 1980 , pp. 359 - 361
Copyright
Copyright © Canadian Mathematical Society 1980

References

1. Carlitz, L., Some formulas of Jensen and Gould, Duke Math. J. 27, (1960), 319-321.Google Scholar
2. Cohen, M.E., Some classes of generating functions for the Laguerre and Hermite polynomials, Math, of Comp. 31 (1977), 511-518.Google Scholar
3. Gould, H.W., Generalization of a theorem of Jensen concerning convolutions, Duke Math. J., 27 (1960), 71-76.Google Scholar
4. Jensen, J. L. W. V., Sur une identit? d'abel et sur d'autres formules analogues, Acta Mathematica, 26 (1902), 307-313.Google Scholar