Atıf İçin Kopyala
Dişibüyük Ç., Ulutas S.
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, cilt.366, 2020 (SCI-Expanded)
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Yayın Türü:
Makale / Tam Makale
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Cilt numarası:
366
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Basım Tarihi:
2020
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Doi Numarası:
10.1016/j.cam.2019.112427
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Dergi Adı:
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
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Derginin Tarandığı İndeksler:
Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Applied Science & Technology Source, Communication Abstracts, Compendex, Computer & Applied Sciences, INSPEC, MathSciNet, Metadex, zbMATH, DIALNET, Civil Engineering Abstracts
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Anahtar Kelimeler:
q-Eulerian numbers, q-Eulerian polynomials, q-Euler-Frobenius polynomials, q-exponential spline, q-exponential Euler polynomials, Worpitzky identity
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Dokuz Eylül Üniversitesi Adresli:
Evet
Özet
We present q-analogues of exponential Euler polynomials and Euler-Frobenius polynomials from B-splines with knots both at q-integers and in geometric progression. We also investigate the relations between q-Eulerian numbers, q-Eulerian polynomials, q-Euler-Frobenius polynomials and B-splines. We derive q-Euler-Frobenius polynomials using q-analogue of exponential splines. It is shown that B-splines with knots at q-integers and B-splines with knots in geometric progression have same values on their knot points. We also construct a q-analogue of Worpitzky identity. (C) 2019 Elsevier B.V. All rights reserved.