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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 발행연도
- 2015.1
- 수록면
- 597 - 614 (18page)
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In this paper, we study some properties of the generalized Apostol type Hermite-based polynomials. which extend some known results. We also deduce some properties of the generalized Apostol-Bernoulli polynomials, the generalized Apostol-Euler polynomials and the generalized Apostol-Genocchi polynomials of high order. Numer- ous properties of these polynomials and some relationships between F(α) n (x, λ, μ, v, c) and HF(α) n (x, y, λ, μ, v, c) are established. Some implicit summation formulae and general sym- metry identities are derived by using di®erent analytical means and applying generating functions.
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참고문헌 (25)
참고문헌 신청
A. Erdelyi. / 1953 / Higher transcendental functions, vols. 1-3 /
D. Q. Lu. / 2013 / Some properties of the generalized Apostol tpe polynomials / Boundary Value Problems 2013 : 64 ~
E. R. Hansen / 1975 / A table of series and products / Printice Hall
E. T. Bell / 1943 / Exponential polynomials / Ann. of Math 35 : 258 ~ 277
F. Magnus. / 1966 / Some formulas and theorem for the special functions of mathematical physics, Third enlarged edition / Springer-Verlag
D. Q. Lu. / 2013 / Some properties of the generalized Apostol tpe polynomials / Boundary Value Problems 2013 : 64 ~
E. R. Hansen / 1975 / A table of series and products / Printice Hall
E. T. Bell / 1943 / Exponential polynomials / Ann. of Math 35 : 258 ~ 277
F. Magnus. / 1966 / Some formulas and theorem for the special functions of mathematical physics, Third enlarged edition / Springer-Verlag
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