Some properties of the generalized Apostol-type polynomials
| Autor: | Da-Qian Lu, Qiu-Ming Luo |
|---|---|
| Rok vydání: | 2013 |
| Předmět: |
Discrete mathematics
Algebra and Number Theory Gegenbauer polynomials Mathematics::Number Theory Discrete orthogonal polynomials Mathematical analysis Classical orthogonal polynomials Difference polynomials Macdonald polynomials Orthogonal polynomials Hahn polynomials Wilson polynomials Analysis Mathematics |
| Zdroj: | Boundary Value Problems. 2013 |
| ISSN: | 1687-2770 |
| DOI: | 10.1186/1687-2770-2013-64 |
| Popis: | In this paper, we study some properties of the generalized Apostol-type polynomials (see (Luo and Srivastava in Appl. Math. Comput. 217:5702-5728, 2011)), including the recurrence relations, the differential equations and some other connected problems, which extend some known results. We also deduce some properties of the generalized Apostol-Euler polynomials, the generalized Apostol-Bernoulli polynomials, and Apostol-Genocchi polynomials of high order. MSC:11B68, 33C65. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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