Some families of generating functions for the q-Konhauser polynomials
TAIWANESE JOURNAL OF MATHEMATICS, cilt.12, sa.3, ss.841-850, 2008 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 12 Sayı: 3
- Basım Tarihi: 2008
- Doi Numarası: 10.11650/twjm/1500602440
- Dergi Adı: TAIWANESE JOURNAL OF MATHEMATICS
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.841-850
- Anahtar Kelimeler: basic (or q-)polynomials, q-Laguerre polynomials, q-biorthogonal polynomials, q-Konhauser polynomials, bilinear generating functions, bilateral generating functions, BIORTHOGONAL POLYNOMIALS, LAGUERRE-POLYNOMIALS, SETS
- Ankara Üniversitesi Adresli: Evet
Özet
The q-Konhauser polynomials, which were introduced and investigated in several recent works, are q-biorthogonal with respect to the weight function x(alpha) e(q)(-x) over the semi-infinite interval (0, infinity). In the present paper, we derive various families of multilinear and multilateral generating functions for these q-Konhauser polynomials. We also briefly consider several special cases and consequences of the results presented in this paper.