지원사업
학술연구/단체지원/교육 등 연구자 활동을 지속하도록 DBpia가 지원하고 있어요.
커뮤니티
연구자들이 자신의 연구와 전문성을 널리 알리고, 새로운 협력의 기회를 만들 수 있는 네트워킹 공간이에요.
초록· 키워드
오류제보하기
The Gamma function ${\Gamma}$ which was first introduced b Euler in 1730 has played a very important role in many branches of mathematics, especially, in the theory of special functions, and has been introduced in most of calculus textbooks. In this note, our major aim is to explain the convergence of the Euler's Gamma function expressed as an improper integral by using some elementary properties and a fundamental axiom holding on the set of real numbers $\mathbb{R}$, in a detailed and instructive manner. A brief history and origin of the Gamma function is also considered.
목차
등록된 정보가 없습니다.
참고문헌 (9)
참고문헌 신청
E. Artin / 1964 / The Gamma Function / Holt, Rinehart and Winston
J. Bak / 1997 / Complex Analysis / Springer-Verlag
Y. A. Brychkov / 2008 / Handbook of Special Functions, Derivatives, Integrals, Series and Other Formulas / Taylor & Francis Group, LLC
P. J. Davis / 1959 / Leonhard Euler's integral; a historical pro le of the Gamma function / Amer. Math. Monthly 66:849~869
H. M. Srivastava / 2001 / Series Associated with the Zeta and Related Functions / Kluwer Academic Publishers
J. Bak / 1997 / Complex Analysis / Springer-Verlag
Y. A. Brychkov / 2008 / Handbook of Special Functions, Derivatives, Integrals, Series and Other Formulas / Taylor & Francis Group, LLC
P. J. Davis / 1959 / Leonhard Euler's integral; a historical pro le of the Gamma function / Amer. Math. Monthly 66:849~869
H. M. Srivastava / 2001 / Series Associated with the Zeta and Related Functions / Kluwer Academic Publishers
이 논문의 저자 정보
최근 본 자료
댓글(0)
0