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Generalizations of generating functions for higher continuous hypergeometric orthogonal polynomials in the Askey scheme.
- Source :
-
Journal of Mathematical Analysis & Applications . Jul2015, Vol. 427 Issue 1, p377-398. 22p. - Publication Year :
- 2015
-
Abstract
- We use connection relations and series rearrangement to generalize generating functions for several higher continuous orthogonal polynomials in the Askey scheme, namely the Wilson, continuous dual Hahn, continuous Hahn, and Meixner–Pollaczek polynomials. We also determine corresponding definite integrals using the orthogonality relations for these polynomials. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 0022247X
- Volume :
- 427
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Journal of Mathematical Analysis & Applications
- Publication Type :
- Academic Journal
- Accession number :
- 101499542
- Full Text :
- https://doi.org/10.1016/j.jmaa.2015.01.074