Inequalities generated by the gamma function

Advances in Applied Mathematics

Volumn 29, Issue 1, 2002, Pages 115-125

  Grinshpan, Arcadii Z ^a  

^a UNIVERSITY OF SOUTH FLORIDA   (United States)

Author keywords

Binomial coefficients; Euler's integrals; Exponentiation; Gamma function; Inequalities

Indexed keywords

EID: 0036658326     PISSN: 01968858     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0196-8858(02)00006-4     Document Type: Article

References (6)

1. L. de Branges, A proof of the Bieberbach conjecture, Acta Math. 154 (1985) 137-152.
2. A.Z. Grinshpan, The Bieberbach conjecture and Milin's functionals, Amer. Math. Monthly 106 (3) (1999) 203-214.
3. A.Z. Grinshpan, Logarithmic geometry, exponentiation, and coefficient bounds in the theory of univalent functions and nonoverlapping domains, Chapter 10, in: R. Kühnau (Ed.), Geometric Function Theory, in: Handbook of Complex Analysis, Vol. 1, Elsevier, 2002, to appear.
4. A.I. Markushevich, Theory of Functions of a Complex Variable, Vol. II (revised English edition translated and edited by R.A. Silverman), Prentice-Hall, Englewood Cliffs, NJ, 1965.
5. I.M. Milin, On the coefficients of univalent functions, Dokl. Akad. Nauk SSSR 176 (1967) 1015-1018 (in Russian); Soviet Math. Dokl. 8 (1967) 1255-1258.
6. I.M. Milin, Univalent Functions and Orthonormal Systems, Nauka, Moscow, 1971 (in Russian); published in English by Amer. Math. Soc., Providence, RI, 1977.