An Integral Representation of the Generalized Euler-Mascheroni ConstantsNational Aeronautics and Space Administration, Scientific and Technical Information Branch, 1985 - Euler's numbers - 11 pages |
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1+iy Aeronautics and Space agreement Applied Math approaches infinity assorted Center Marshall Space CODE Coefficients compute Consider continuous variable Contour defined dx x-iR dy 1+y² equation error bounds Euler-Maclaurin summation Euler-Mascheroni constants Euler-Mascheroni function evaluate Expansion extended Figure Flight Center Marshall formula Further George given gives Gram Im(z Inn+1 N+1 Innk Integral Representation integrand Jensen k n+1 L. W. Howell Liang limit ln ln 1-iy ln¹ Magnitude Marshall Space Flight NAME AND ADDRESS NASA TECHNICAL PAPER National Aeronautics Note numerical O. R. Ainsworth obtain PERFORMING ORGANIZATION PERIOD Power precision Pure and Applied Quart Reference REPORT result Riemann Zeta function roots scale factor SECURITY CLASSIF Space Administration Space Flight Center SPONSORING AGENCY standard Stieltjes TABLE tan^¹y)² Technical Information tend to zero Todd Tuscaloosa Unclassified University of Alabama values x+iR Υπ