Convolution identities of poly-Cauchy numbers with level 2
Rendiconti del Seminario Matematico della Università di Padova, Tome 148 (2022), pp. 245-262.
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Poly-Cauchy numbers with level 2 are defined by inverse sine hyperbolic functions with the inverse relation from sine hyperbolic functions. In this paper, we introduce the Stirling numbers of the first kind with level 2 in order to establish some relations with poly- Cauchy numbers with level 2. Then, we show several convolution identities of poly-Cauchy numbers with level 2. In particular, that of three poly-Cauchy numbers with level 2 can be expressed as a simple form.

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Publié le :
DOI : 10.4171/rsmup/106
Classification : 11, 05 
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     author = {Takao Komatsu},
     title = {Convolution identities of {poly-Cauchy} numbers with level 2},
     journal = {Rendiconti del Seminario Matematico della Universit\`a di Padova},
     pages = {245--262},
     volume = {148},
     year = {2022},
     doi = {10.4171/rsmup/106},
     mrnumber = {4542380},
     zbl = {07673829},
     language = {en},
     url = {http://archive.numdam.org/articles/10.4171/rsmup/106/}
}
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Takao Komatsu. Convolution identities of poly-Cauchy numbers with level 2. Rendiconti del Seminario Matematico della Università di Padova, Tome 148 (2022), pp. 245-262. doi : 10.4171/rsmup/106. http://archive.numdam.org/articles/10.4171/rsmup/106/

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