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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 발행연도
- 2015.1
- 수록면
- 41 - 53 (13page)
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A large number of series and integral representations for the Stieltjes constants (or generalized Euler-Mascheroni constants)$\gamma_k$ and the generalized Stieltjes constants $\gamma_k(a)$ have been investigated.
Here we aim at presenting certain integral representations for the generalized Stieltjes constants $\gamma_k(a)$ by choosing to use four known integral representations for the generalized zeta function $\zeta (s,a)$.
As a by-product, our main results are easily seen to specialize to yield those corresponding integral representations forthe Stieltjes constants $\gamma_k$.
Some relevant connections of certain special cases of our results presented here with those in earlier works are also pointed out.
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참고문헌 (21)
참고문헌 신청
B. C. Berndt / 1972 / On the Hurwitz zeta-function / Rocky Mountain J. Math 2 : 151 ~ 157
D. F. Connon / / Some applications of the Stieltjes constants
D. F. Connon / / Some integrals involving the Stieltjes constants
E. T. Whittaker / 1963 / A Course of Modern Analysis: An Introduction to the General Theory of Infnite Processes and of Analytic Functions; With an Account of the Principal Transcendent
H. M. Srivastava / 2012 / Zeta and q-Zeta Functions and Associated Series and Integrals / Elsevier Science Publishers
D. F. Connon / / Some applications of the Stieltjes constants
D. F. Connon / / Some integrals involving the Stieltjes constants
E. T. Whittaker / 1963 / A Course of Modern Analysis: An Introduction to the General Theory of Infnite Processes and of Analytic Functions; With an Account of the Principal Transcendent
H. M. Srivastava / 2012 / Zeta and q-Zeta Functions and Associated Series and Integrals / Elsevier Science Publishers
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