Some array type polynomials associated with special numbers and polynomials
APPLIED MATHEMATICS AND COMPUTATION, cilt.244, ss.149-157, 2014 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 244
- Basım Tarihi: 2014
- Doi Numarası: 10.1016/j.amc.2014.06.086
- Dergi Adı: APPLIED MATHEMATICS AND COMPUTATION
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.149-157
- Anahtar Kelimeler: Bernoulli polynomials and Bernoulli numbers, Apostol-Bernoulli polynomials and Apostol-Bernoulli numbers, lambda-Bell numbers and lambda-Bell polynomials, lambda-Array polynomials, lambda-Stirling numbers of the second kind, GENERATING-FUNCTIONS, APOSTOL-BERNOULLI, EULER
- Akdeniz Üniversitesi Adresli: Evet
Özet
The main objective in this paper is first to establish new identities for the lambda-Stirling type numbers of the second kind, the lambda-array type polynomials, the Apostol-Bernoulli polynomials and the Apostol-Bernoulli numbers. We then construct a lambda-delta operator and investigate various generating functions for the lambda-Bell type numbers and for some new polynomials associated with the lambda-array type polynomials. We also derive several other identities and relations for these polynomials and numbers. (C) 2014 Elsevier Inc. All rights reserved.