A note on the real zeros of the incomplete gamma function

Integral Transforms and Special Functions

Volumn 23, Issue 6, 2012, Pages 445-453

  Thompson, Ian ^a  

^a LOUGHBOROUGH UNIVERSITY   (United Kingdom)

Author keywords

asymptotics; incomplete gamma function; zeros

Indexed keywords

EID: 84861610612     PISSN: 10652469     EISSN: 14768291     Source Type: Journal    
DOI: 10.1080/10652469.2011.597391     Document Type: Article

References (6)

1. Erdélyi, A., Magnus, W., Oberhettinger, F. and Tricomi, F. G. 1953. Higher Transcendental Functions, Vol. 2, New York: McGraw-Hill.
2. Kölbig, K. S. 1972. On the zeros of the incomplete gamma function. Math. Comp., 26: 751-755.
3. Murray, J. D. 1984. dd:Springer-Verlag.
4. Olver, F. W.J., Lozier, D. W., Boisvert, R. F. and Clark, C. W. 2010. dd:Cambridge University Press.
5. Tricomi, F. G. 1950. Asymptotische eigenschaften der unvollstaändigen gammafunktion. Math. Z., 53: 136-148.
6. Tricomi, F. G. 1960. "Fonctions hypergéométriques confluentes". In Mémorial des Sciences Mathématiques, Vol. 140, Paris: Gauthier-Villars.