Some generating functions for the generalized Bessel polynomials. (English) Zbl 0739.33006
The authors begin by representing a systematic (historical) account of some linear generating functions for the generalized Bessel polynomials. It is then shown how these linear generating functions can be applied with a view to obtaining various new families of bilinear, bilateral, or mixed multilateral generating functions for the generalized Bessel polynomials. Some interesting generalizations of these classes of generating functions, involving hypergeometric functions, are also considered.
Reviewer: Chen Ming-Po (Victoria)
MSC:
| 33C45 | Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) |
| 33C55 | Spherical harmonics |
| 33C70 | Other hypergeometric functions and integrals in several variables |
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