Name
Title | ||
|---|---|---|
Some families of hypergeometric generating functions associated with multiple series transformations |
Abstract | ||
|---|---|---|
A simple multiple-series identity is applied here with a view to deriving, in a systematic and unified manner, numerous families of generating functions for certain interesting classes of generalized hypergeometric polynomials in one, two, and more variables. Relevant connections of many of these families of generating functions with various known results on this subject are also discussed. The use of double-, triple-, and multiple-series analogues of the familiar Bailey transform, which were invoked in many of the earlier works cited here, is completely avoided in this investigation. |
Year | DOI | Venue |
|---|---|---|
2003 | 10.1016/S0096-3003(02)00390-9 | Applied Mathematics and Computation |
Keywords | Field | DocType |
Generating functions,Series transformations,Hypergeometric polynomials,(Srivastava–Daoust) generalized Lauricella function,Biorthogonal polynomials,Gauss hypergeometric function,Laguerre polynomials,Bessel polynomials,Pfaff–Saalschütz theorem | Hypergeometric function,Generating function,Hypergeometric distribution,Bessel polynomials,Algebra,Laguerre polynomials,Mathematical analysis,Hypergeometric identity,Jacobi polynomials,Generalized hypergeometric function,Mathematics | Journal |
Volume | Issue | ISSN |
144 | 1 | 0096-3003 |
Citations | PageRank | References |
0 | 0.34 | 0 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Whei-Ching C. Chan | 1 | 1 | 1.37 |
| Kung-Yu Chen | 2 | 0 | 0.68 |
| H. M. Srivastava | 3 | 179 | 43.20 |