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Some new results for the Lagrange polynomials in several variables

Published online by Cambridge University Press:  17 February 2009

Kung Yu Chen,
Shouh Jung Liu and
H. M. Srivastava
Kung Yu Chen
Affiliation:
department of Mathematics Tamkang University, Tamsui 25137 Taiwan Republic of China; email: kychen@mail.tku.edu.tw 113014@mail.tku.edu.tw.
Shouh Jung Liu
Affiliation:
department of Mathematics Tamkang University, Tamsui 25137 Taiwan Republic of China; email: kychen@mail.tku.edu.tw 113014@mail.tku.edu.tw.
H. M. Srivastava
Affiliation:
department of Mathematics and Statistics University of Victoria, Victoria British Columbia V8W 3P4 Canada, email: harimsri@math.uvic.ca.
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Abstract

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In some recent investigations involving certain differential operators for a general family of Lagrange polynomials, Chan el al. encountered and proved a certain summation identity for the Lagrange polynomials in several variables. In the present paper, we derive some generalizations of this summation identity for the Chan-Chyan-Srivastava polynomials in several variables. We also discuss a number of interesting corollaries and consequences of our main results.

Keywords

Lagrange polynomialssummation identityChan-Chyan-Srivastava polynomialsdifferential operatorsgenerating functionsJacobi polynomialsStirling numbers of the second kindCauchy integral formulaLaguerre polynomials.

Information

Type
Articles
Information
The ANZIAM Journal , Volume 49 , Issue 2 , October 2007, pp. 243 - 258
Copyright
Copyright © Australian Mathematical Society 2007

References

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