| Title: | Chan-Chyan-Srivastava Multivariable polynomials associated with a certain family of partial differential operators |
| Authors: | Chen, Kung-Yu;Liu, Shuoh-Jung |
| Contributors: | 淡江大學數學學系 |
| Keywords: | Lagrange polynomials;Chan–Chyan–Srivastava multivariable polynomials;diagonalization;linear partial differential operators;invariant subspace;eigenfunction;homogeneous functions |
| Date: | 2011-11 |
| Issue Date: | 2011-11-16 15:49:26 (UTC+8) |
| Publisher: | Abingdon: Taylor & Francis Ltd. |
| Abstract: | In some recent investigations involving certain differential operators for the Chan–Chyan–Srivastava multivariable polynomials, Chan et al. encountered and proved a certain summation identity for the Chan–Chyan–Srivastava multivariable polynomials.
The main object of this paper is to present a second-order linear partial differential operator L∅ associated with the Chan–Chyan–Srivastava multivariable polynomials. We show that the Chan–Chyan–Srivastava multivariable polynomials are eigenfunctions of L∅. In addition, we find all eigenfunctions of L∅ in the space of polynomials. |
| Relation: | Integral Transforms and Special Functions 22(11), pp.861-865 |
| DOI: | 10.1080/10652469.2010.541158 |
| Appears in Collections: | [應用數學與數據科學學系] 期刊論文
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