Atıf İçin Kopyala
Srivastava H. M., TAŞDELEN YEŞİLDAL F., Sekeroglu B.
TAIWANESE JOURNAL OF MATHEMATICS, cilt.12, sa.3, ss.841-850, 2008 (SCI-Expanded)
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Yayın Türü:
Makale / Tam Makale
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Cilt numarası:
12
Sayı:
3
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Basım Tarihi:
2008
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Doi Numarası:
10.11650/twjm/1500602440
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Dergi Adı:
TAIWANESE JOURNAL OF MATHEMATICS
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Derginin Tarandığı İndeksler:
Science Citation Index Expanded (SCI-EXPANDED), Scopus
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Sayfa Sayıları:
ss.841-850
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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
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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.