ANZIAM J. 49 (2007), no. 2, pp. 243–258.

Some new results for the Lagrange polynomials in several variables

Kung-Yu Chen	Shuoh-Jung Liu	H. M. Srivastava^†
Department of Mathematics Tamkang University Tamsui 25137 Taiwan Republic of China kychen@mail.tku.edu.tw	Department of Mathematics Tamkang University Tamsui 25137 Taiwan Republic of China 113014@mail.tku.edu.tw	Department of Mathematics and Statistics University of Victoria Victoria British Columbia V8W 3P4 Canada harimsri@math.uvic.ca

Received 1 March, 2007; revised 29 October, 2007

Abstract

In some recent investigations involving certain differential operators for a general family of Lagrange polynomials, Chan et 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.

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2000 Mathematics Subject Classification: primary 33C05, 33C45; secondary 11B73
(Metadata: XML, RSS, BibTeX)	MathSciNet: MR2376???
^†indicates author for correspondence

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