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Poly-Frobenius-Genocchi Polynomials: A Probabilistic Perspective with Applications |
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PP: 891-898 |
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doi:10.18576/amis/190414
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Author(s) |
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Ayse Karagenc,
Mehmet Acikgoz,
Serkan Araci,
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Abstract |
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In the paper, we introduce probabilistic extensions of poly-Frobenius-Genocchi polynomials and modified probabilistic Genocchi-polynomials. By making use of their generating functions, we derive explicit identities and a symmetric relation. In special cases, the obtained results reduce to classical one. Additionally, by choosing appropriate random variable, we obtain new identities including Stirling numbers of the first kind, Frobenius-Euler numbers, Frobenius-Genocchi numbers and Bernoulli numbers of negative order.
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