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Korobov type polynomials are introduced and extensively investigated many mathematicians (\cite{8,9,10,11,12,13,14}). In \ this work, we define unified Apostol Korobov type polynomials and give some recurrences relations for these polynomials. Further, we consider the $q$-poly Korobov polynomials and the $q$-poly-Korobov type Changhee polynomials. We give some explicit relations and identities above mentioned functions.
#Apostol-Bernoulli polynomials
#Apostol-Euler polynomials
#polylogarithms
#Changhee polynomials
#Stirling numbers of the second kind
#the first kind Korobov polynomials
#poly-Bernoulli polynomials
#poly-Euler polynomials
#the degenerate unified Korobov type polynomials
#the $q$-poly-Korobov polynomials
#the $q$-poly-Korobov type Changhee polynomials
목차
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참고문헌 (18)
참고문헌 신청
M. Ali Özarslan / 2011 / Unified Apostol-Bernoulli, Euler and Genocchi polynomials / Computers & Mathematics with Applications 62(6):2452~2462
Abdelmejid BAYAD / 2011 / POLYLOGARITHMS AND POLY-BERNOULLI POLYNOMIALS / Kyushu Journal of Mathematics 65(1):15~24
L. Carlitz / 1979 / Bernoulli and Eulerian numbers / Utilitas Math 15:51~88
L. Carlitz / 1980 / Weighted Stirling numbers of the first and second kind. I / Fibonacci Quart 18(2):147~162
Yoshinori Hamahata / 2014 / Poly-Euler polynomials and Arakawa--Kaneko type zeta functions / Functiones et Approximatio Commentarii Mathematici 51(1):7~22
Abdelmejid BAYAD / 2011 / POLYLOGARITHMS AND POLY-BERNOULLI POLYNOMIALS / Kyushu Journal of Mathematics 65(1):15~24
L. Carlitz / 1979 / Bernoulli and Eulerian numbers / Utilitas Math 15:51~88
L. Carlitz / 1980 / Weighted Stirling numbers of the first and second kind. I / Fibonacci Quart 18(2):147~162
Yoshinori Hamahata / 2014 / Poly-Euler polynomials and Arakawa--Kaneko type zeta functions / Functiones et Approximatio Commentarii Mathematici 51(1):7~22
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