Sheffer sequences of polynomials and their applications

被引：0
作者：
Dae San Kim
Taekyun Kim
Seog-Hoon Rim
Dmitry V Dolgy
机构：
[1] Sogang University,Department of Mathematics
[2] Kwangwoon University,Department of Mathematics
[3] Kyungpook National University,Department of Mathematics Education
[4] Hanrimwon,undefined
[5] Kwangwoon University,undefined
来源：
Advances in Difference Equations | / 2013卷
关键词：
Bernoulli polynomial; Euler polynomial; Frobenius-Euler polynomial; Frobenius-type Eulerian polynomial; Sheffer sequence;
D O I：
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学科分类号：
摘要：
In this paper, we investigate some properties of several Sheffer sequences of several polynomials arising from umbral calculus. From our investigation, we can derive many interesting identities of several polynomials.
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  • [1] Carlitz L(1960)Eulerian numbers and polynomials of higher order Duke Math. J 27 401-423
  • [2] Diarra B(2007)Ultrametric umbral calculus in characteristic Bull. Belg. Math. Soc. Simon Stevin 14 845-869
  • [3] Dere R(2012)Applications of umbral algebra to some special polynomials Adv. Stud. Contemp. Math 22 433-438
  • [4] Simsek Y(2008)Examples of a Adv. Stud. Contemp. Math 16 1-22
  • [5] Ernst T(2009)-umbral calculus Russ. J. Math. Phys 16 484-491
  • [6] Kim T(2012)Some identities on the J. Number Theory 132 2854-2865
  • [7] Kim T(2011)-Euler polynomials of higher order and Rocky Mt. J. Math 41 239-247
  • [8] Kim T(2008)-Stirling numbers by the fermionic J. Differ. Equ. Appl 14 1267-1277
  • [9] Kim T(1985)-adic integral on J. Math. Anal. Appl 107 222-254
  • [10] Roman S(2009)Identities involving Frobenius-Euler polynomials arising from non-linear differential equations Russ. J. Math. Phys 16 484-491
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