대한수학회논문집 (Communications of the Korean Mathematical Society)

  • 제17권1호
  • /
  • Pages.15-20
  • /
  • 2002
  • /
  • 1225-1763(pISSN)
  • /
  • 2234-3024(eISSN)
대한수학회 (Korean Mathematical Society)
권호 표지
DOI QR코드

DOI QR Code

NOTE ON CAHEN′S INTEGRAL FORMULAS

  • Choi, June-Sang (Department of Mathematics, College of Natural Sciences, Dongguk University)
  • 발행 : 2002.01.01
PDF 다운로드
⟨ 이전 논문 다음 논문 ⟩

초록

We present an explicit form for a class of definite integrals whose special cases include some definite integrals evaluated, over a century ago, by Cahen who made use of an appropriate contour integral for the integrand of a well-known integral representation of the Riemann Zeta function given in (3). Furthermore another analogous class of definite integral formulas and some identities involving Riemann Zeta function and Euler numbers En are also obtained as by-products.

키워드

참고문헌

  1. Ecole Normale Superieure v.11 no.3 Sur la fonction ?(s) de Riemann et sur des fonctions analoyues, Annales Scientifiques M. E. Cahen
  2. Complex Variables and Applications (2nd Ed.) R. V. Churchill
  3. Higher Transcendental Functions v.I A. Erdelyi;W. Magnus, F.;Oberhettinger;F. G. Tricomi
  4. Table of Integrals, Series, and Products I. S. Gradshteyn;I. M. Ryzhik
  5. A Course of Modern Analysis (4th Ed.) E. T. Whittaker;G. N. Watson