Title | ||
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Some new identities for the Apostol-Bernoulli polynomials and the Apostol-Genocchi polynomials |
Abstract | ||
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In this paper, we present a further investigation for the Apostol-Bernoulli polynomials and the Apostol-Genocchi polynomials. By making use of the generating function methods and summation transform techniques, we establish some new identities involving the products of the Apostol-Bernoulli polynomials and the Apostol-Genocchi polynomials. Many of the results presented here are the corresponding generalizations of some known formulas on the classical Bernoulli polynomials and the classical Genocchi polynomials. |
Year | DOI | Venue |
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2015 | 10.1016/j.amc.2015.03.132 | Applied Mathematics and Computation |
Keywords | Field | DocType |
Apostol–Bernoulli polynomials,Apostol–Bernoulli numbers,Apostol–Genocchi polynomials,Apostol–Genocchi numbers,Convolution formulas,Recurrence relations | Wilson polynomials,Classical orthogonal polynomials,Orthogonal polynomials,Algebra,Mathematical analysis,Macdonald polynomials,Gegenbauer polynomials,Discrete orthogonal polynomials,Hahn polynomials,Difference polynomials,Mathematics | Journal |
Volume | Issue | ISSN |
262 | C | 0096-3003 |
Citations | PageRank | References |
0 | 0.34 | 12 |
Authors | ||
4 |
Name | Order | Citations | PageRank |
---|---|---|---|
Yuan He | 1 | 0 | 0.34 |
Serkan Araci | 2 | 7 | 5.87 |
H.M. Srivastava | 3 | 308 | 76.66 |
Mehmet Açikgöz | 4 | 1 | 1.38 |