Some formulas for the generalized Apostol-type polynomials and numbers
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Authors
Wen-Kai Shao
- Department of Mathematical Teaching and Research, Yibin Vocational & Technical College, 644003 Yibin, Sichuan, People's Republic of China.
Yuan He
- Faculty of Science, Kunming University of Science and Technology, 650500 Kunming, Yunnan, People's Republic of China.
Abstract
In this paper, we perform a further investigation for the unified family of the generalized Apostol-Bernoulli, Euler and Genocchi polynomials and numbers introduced by El-Desouky and Gomaa (2014).
By using the generating function methods and summation transform techniques, we establish some new
formulas for this family of polynomials and numbers, and give some illustrative special cases.
Share and Cite
ISRP Style
Wen-Kai Shao, Yuan He, Some formulas for the generalized Apostol-type polynomials and numbers, Journal of Nonlinear Sciences and Applications, 9 (2016), no. 5, 2511--2519
AMA Style
Shao Wen-Kai, He Yuan, Some formulas for the generalized Apostol-type polynomials and numbers. J. Nonlinear Sci. Appl. (2016); 9(5):2511--2519
Chicago/Turabian Style
Shao, Wen-Kai, He, Yuan. "Some formulas for the generalized Apostol-type polynomials and numbers." Journal of Nonlinear Sciences and Applications, 9, no. 5 (2016): 2511--2519
Keywords
- Apostol-Bernoulli polynomials and numbers
- Apostol-Euler polynomials and numbers
- Apostol-Genocchi polynomials and numbers
- combinatorial identities.
MSC
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