Some families of generating functions for the q-Konhauser polynomials

Srivastava H. M., TAŞDELEN YEŞİLDAL F., Sekeroglu B.

TAIWANESE JOURNAL OF MATHEMATICS, cilt.12, sa.3, ss.841-850, 2008 (SCI-Expanded) identifier identifier

  • 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.