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학술연구/단체지원/교육 등 연구자 활동을 지속하도록 DBpia가 지원하고 있어요.
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초록· 키워드
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In this paper, we introduce a generating function for a Legendre-based poly-Bernoulli polynomials and give some identities of these polynomials related to the Stirling numbers of the second kind. By making use of the generating function method and some functional equations mentioned in the paper, we conduct a further investigation in order to obtain some implicit summation formulae for the Legendre-based poly-Bernoulli numbers and polynomials.
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참고문헌 (22)
참고문헌 신청
L.C. Andrews / 1985 / Special functions for engineers and mathematicians / Macmillan. Co
T.M. Apostol / 1951 / On the Lerch zeta function / Pacific J.Math. 1:161~167
P. Appell / 1926 / Fonctions Hyperge0ome0triques et Hypersphe0riques: Polynomes d Hermite / Gauthier-Villars
G. Dattoli / 2004 / Summation formulae of special functions and multivariable Hermite polynomials / Nuovo Cimento Soc. Ital. Fis., B 119(5):479~488
G. Dattoli / 2000 / Generalized polynomials, operational identities and their application / J. Comput. Appl. Math. 118(1-2):111~123
T.M. Apostol / 1951 / On the Lerch zeta function / Pacific J.Math. 1:161~167
P. Appell / 1926 / Fonctions Hyperge0ome0triques et Hypersphe0riques: Polynomes d Hermite / Gauthier-Villars
G. Dattoli / 2004 / Summation formulae of special functions and multivariable Hermite polynomials / Nuovo Cimento Soc. Ital. Fis., B 119(5):479~488
G. Dattoli / 2000 / Generalized polynomials, operational identities and their application / J. Comput. Appl. Math. 118(1-2):111~123
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