Higher-Order Convolutions for Apostol-Bernoulli, Apostol-Euler and Apostol-Genocchi Polynomials
| dc.contributor.author | Araci, Serkan | |
| dc.contributor.author | He, Yuan | |
| dc.contributor.author | Srivastava, H. M. | |
| dc.contributor.author | Abdel-Aty, Mahmoud | |
| dc.date.accessioned | 2019-11-06T08:15:00Z | |
| dc.date.available | 2019-11-06T08:15:00Z | |
| dc.date.issued | 2018-12 | |
| dc.department | HKÜ, İktisadi, İdari ve Sosyal Bilimler Fakültesi, İktisat Bölümü | en_US |
| dc.description.abstract | In this paper, we present a systematic and unified investigation for the Apostol-Bernoulli polynomials, the Apostol-Euler polynomials and the Apostol-Genocchi polynomials. By applying the generating-function methods and summation-transform techniques, we establish some higher-order convolutions for the Apostol-Bernoulli polynomials, the Apostol-Euler polynomials and the Apostol-Genocchi polynomials. Some results presented here are the corresponding extensions of several known formulas. | en_US |
| dc.identifier.citation | He, Y., Araci, S., Srivastava, H. M., Srivastava, H. M., & Abdel-Aty, M. (December 14, 2018). Higher-Order convolutions for apostol-bernoulli, apostol-euler and apostol-genocchi polynomials. Mathematics, 6, 12.) | en_US |
| dc.identifier.doi | 10.3390/math6120329 | |
| dc.identifier.issn | 2227-7390 | |
| dc.identifier.issue | 12 | en_US |
| dc.identifier.scopus | 2-s2.0-85059457931 | |
| dc.identifier.scopusquality | Q1 | |
| dc.identifier.uri | https://doi.org/10.3390/math6120329 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.11782/592 | |
| dc.identifier.volume | 6 | en_US |
| dc.identifier.wos | WOS:000454519300057 | |
| dc.identifier.wosquality | Q1 | |
| dc.indekslendigikaynak | Web of Science | |
| dc.indekslendigikaynak | Scopus | |
| dc.language.iso | en | |
| dc.publisher | MDPI | en_US |
| dc.relation.ispartof | MATHEMATICS | |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Apostol-Bernoulli polynomials; Apostol-Euler polynomials; Apostol-Genocchi polynomials; convolution identities; stirling numbers of the first and second kind | en_US |
| dc.title | Higher-Order Convolutions for Apostol-Bernoulli, Apostol-Euler and Apostol-Genocchi Polynomials | |
| dc.type | Article |










