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In this paper, we present nonlinear differential equations arising from the generating function of the Eulerian polynomials. In addition, we give explicit formulae for the Eulerian polynomials which are derived from our nonlinear differential equations.
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참고문헌 (19)
참고문헌 신청
P. Barry / 2013 / General Eulerian polynomials as moments using exponential Riordan arrays / J. Integer Seq 16(9):15
A. Bayad / 2012 / Higher recurrences for Apostol-Bernoulli-Euler numbers / Russ. J. Math. Phys 19(1):1~10
L. Carlitz / 1956 / A degenerate Staudt-Clausen theorem / Arch. Math. (Basel) 7:28~33
L. Carlitz / 1979 / Degenerate Stirling, Bernoulli and Eulerian numbers / Utilitas Math 15:51~88
M. Domokos / 1994 / Eulerian polynomial identities and algebras satisfying a standard identity / J. Algebra 169(3):913~928
A. Bayad / 2012 / Higher recurrences for Apostol-Bernoulli-Euler numbers / Russ. J. Math. Phys 19(1):1~10
L. Carlitz / 1956 / A degenerate Staudt-Clausen theorem / Arch. Math. (Basel) 7:28~33
L. Carlitz / 1979 / Degenerate Stirling, Bernoulli and Eulerian numbers / Utilitas Math 15:51~88
M. Domokos / 1994 / Eulerian polynomial identities and algebras satisfying a standard identity / J. Algebra 169(3):913~928
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