A note on the real zeros of the incomplete gamma function

作者：Thompson Ian^*

来源：Integral Transforms and Special Functions, 2012, 23(6): 445-453.

DOI：10.1080/10652469.2011.597391

• incomplete gamma function
• zeros
• asymptotics

Asymptotic formulae that estimate the locations of real zeros of the lower incomplete gamma function are obtained using methods based in part on the original derivations by Tricomi. It is shown that these original calculations are correct, aside from some minor typographical errors, whereas later papers have overstated the accuracy of the approximations. For one of the zeros, a minor alteration to Tricomi%26apos;s working leads to a formula that is more accurate than those that have appeared in the literature to date.

• 出版日期2012