Atıf İçin Kopyala
YARDIMCI A., ŞİMŞEK Y.
JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, cilt.10, sa.5, ss.2767-2777, 2017 (SCI-Expanded)
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Yayın Türü:
Makale / Tam Makale
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Cilt numarası:
10
Sayı:
5
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Basım Tarihi:
2017
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Doi Numarası:
10.22436/jnsa.010.05.43
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Dergi Adı:
JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS
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Derginin Tarandığı İndeksler:
Science Citation Index Expanded (SCI-EXPANDED), zbMATH
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Sayfa Sayıları:
ss.2767-2777
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Anahtar Kelimeler:
Bernoulli numbers and polynomials, Euler numbers and polynomials, Daehee numbers and polynomials, Changhee numbers and polynomials, Lah numbers, Apostol-Daehee numbers, Korobov polynomials, Stirling numbers, generating functions, functional equation, p-adic integral, Q-BERNOULLI NUMBERS, EULER
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Akdeniz Üniversitesi Adresli:
Evet
Özet
By using generating functions and their functional equations for the special numbers and polynomials, we derive various identities and combinatorial sums including the Korobov-type polynomials, the Bernoulli numbers, the Stirling numbers, the Daehee numbers and the Changhee numbers. Furthermore, by using the Volkenborn integral and the fermionic p-adic integral, we also derive combinatorial sums associated with the Korobov-type polynomials, the Lah numbers, the Changhee numbers and the Daehee numbers. Finally, we give a conclusion on our results. (C) 2017 All rights reserved.