Taekyun Kim, Dae San Kim, Jong-Jin Seo (2016)
Open Mathematics
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In this paper, we introduce the new fully degenerate poly-Bernoulli numbers and polynomials and inverstigate some properties of these polynomials and numbers. From our properties, we derive some identities for the fully degenerate poly-Bernoulli numbers and polynomials.
Jang, Lee-Chae (2010)
Mathematical Problems in Engineering
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Kim, T., Kim, Y.H. (2010)
Journal of Inequalities and Applications [electronic only]
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Zhi-Wei Sun, Hao Pan (2006)
Acta Arithmetica
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Hwang, Kyung-Won, Kim, Young-Hee, Kim, Taekyun (2009)
Journal of Inequalities and Applications [electronic only]
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Kim, Min-Soo, Kim, Daeyeoul, Kim, Taekyun (2010)
Abstract and Applied Analysis
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Özden, Hacer, Cangül, Ismail Naci, Simsek, Yilmaz (2008)
Journal of Inequalities and Applications [electronic only]
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Açıkgöz, Mehmet, Simsek, Yilmaz (2009)
Abstract and Applied Analysis
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Park, Kyoung Ho, Kim, Young-Hee (2008)
Advances in Difference Equations [electronic only]
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Jang, Lee-Chae, Ryoo, Cheon-Seoung (2008)
Abstract and Applied Analysis
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Thomas Ernst (2015)
Annales UMCS, Mathematica
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We study q-analogues of three Appell polynomials, the H-polynomials, the Apostol-Bernoulli and Apostol-Euler polynomials, whereby two new q-difference operators and the NOVA q-addition play key roles. The definitions of the new polynomials are by the generating function; like in our book, two forms, NWA and JHC are always given together with tables, symmetry relations and recurrence formulas. It is shown that the complementary argument theorems can be extended to the new polynomials...
Kim, Taekyun, Jang, Lee-Chae, Ryoo, Cheon-Seoung (2008)
Journal of Inequalities and Applications [electronic only]
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