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No. | Special polynomials or numbers | Series representation for |
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(1) | Hermite polynomials [27, page 194, (4)]
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(2) | Legendre polynomials [27, page 181, Theorem 65] | |
(3) | Generalized Laguerre polynomials [27, page 207, (2)] | |
(4) | Gegenbauer polynomials [27, page 283, (36)] | |
(5) | Stirling numbers of the second kind [5, page 207, Theorem ] | |
(6) | Bernoulli polynomials [7, page 26] | |
(7) | Euler polynomials [7, page 30] | |
(8) | Apostol-Bernoulli polynomials [8, page 634, (29)] | |
(9) | Apostol-Euler polynomials [8, page 635, (32)] | |
(10) | Generalized Apostol-Euler polynomials [28, page 1325, (2.4)] | |
(11) | Generalized Bernoulli polynomials and Stirling numbers [28, page 1329, (2.16)] | |
(12) | Generalized Apostol-Bernoulli polynomials and generalized Stirling numbers [28, page 1329, (2.15)] | |
(13) | Generalized Bernoulli polynomials [29, page 158, (2.6)] | |
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