Poly-Cauchy polynomials and generalized Bernoulli polynomials
We introduce a new type of 'poly-Cauchy polynomials' defined by a certain generating function. These polynomials are generalizations of the classical Cauchy polynomials and poly-Cauchy numbers. We give their explicit expression and prove basic properties; the addition formula, iterated int...
Elmentve itt :
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| Dokumentumtípus: | Cikk |
| Megjelent: |
Bolyai Institute, University of Szeged
Szeged
2014
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| Sorozat: | Acta scientiarum mathematicarum
80 No. 3-4 |
| Kulcsszavak: | Matematika |
| Tárgyszavak: | |
| mtmt: | http://dx.doi.org/10.14232/actasm-013-761-9 |
| Online Access: | http://acta.bibl.u-szeged.hu/34831 |
| Tartalmi kivonat: | We introduce a new type of 'poly-Cauchy polynomials' defined by a certain generating function. These polynomials are generalizations of the classical Cauchy polynomials and poly-Cauchy numbers. We give their explicit expression and prove basic properties; the addition formula, iterated integral expression, differential relations and recurrence formula. We also give new type zeta functions associated with the poly-Cauchy polynomials. |
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| Terjedelem/Fizikai jellemzők: | 373-388 |
| ISSN: | 0001-6969 |