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A Unified Presentation of Certain Classical Polynomials
| Content Provider | Scilit |
|---|---|
| Author | Srivastava, H. M. Singhal, J. P. |
| Copyright Year | 1972 |
| Description | This paper attempts to present a unified treatment of the classical orthogonal polynomials, viz. Jacobi, Laguerre and Hermite polynomials, and their generalizations introduced from time to time. The results obtained here include a number of linear, bilinear and bilateral generating functions and operational formulas for the polynomials $\{ T_n^{(\alpha ,\beta )}(x,a,b,c,d,p,r)|n = 0,1,2, \cdots \}$, defined by Eq. (3) below.* |
| Related Links | https://www.ams.org/mcom/1972-26-120/S0025-5718-1972-0313560-7/S0025-5718-1972-0313560-7.pdf |
| Ending Page | 975 |
| Page Count | 7 |
| Starting Page | 969 |
| ISSN | 00255718 |
| e-ISSN | 10886842 |
| DOI | 10.2307/2005884 |
| Journal | Mathematics of Computation |
| Issue Number | 120 |
| Volume Number | 26 |
| Language | English |
| Publisher | Duke University Press |
| Publisher Date | 1972-10-01 |
| Access Restriction | Open |
| Subject Keyword | Artificial Intelligence Unified Treatment Hermite Polynomials Operational Formulas Generalizations Introduced Orthogonal Polynomials Generating Functions Paper Attempts |
| Content Type | Text |
| Resource Type | Article |
| Subject | Applied Mathematics Algebra and Number Theory Computational Mathematics |