The Gamma Function
Take your knowledge of the Gamma function to the expert-level by reading this easily-understandable, clearly-written book, The Gamma Function This book is dedicated to the subject of the Gamma function and related topics. The Gamma Function is primarily intended for advanced undergraduates and graduate students in science and mathematics, but can be of great use for professionals as well. It is concise yet thorough and covers each of the most important aspects of the Gamma function. The Gamma function has important applications in probability theory, combinatorics and other areas of mathematics and most, if not all, areas of science and engineering. A large number of proofs and derivations of theorems and identities are covered in the book including:
Become a better mathematician or scientist by mastering the subject of the Gamma function and putting it to use for you today. The Gamma Function makes an excellent supplementary text for courses such as Advanced Calculus, Special Functions, Probability Theory, Combinatorics, Mathematical Physics, Statistical Mechanics, Thermodynamics and Advanced Engineering Mathematics. Get on top of the subject by purchasing a copy today
- Analytic continuation of the factorials
- properties via complex analysis
- Holder's theorem
- the Bohr-Mullerup theorem
- the Beta function
- Wallis's integrals
- Wallis's product
- product & reflection formulas
- half-integer values
- digamma and polygamma functions
- series expansions
- Euler-Mascheroni integrals
- duplication & multiplication formulas
- the Gamma and zeta function relationships
- Hankel's contour integral representation
- Stirling's formula
- the Weierstrass factor theorem
- the Mittag-Leffler theorem
Become a better mathematician or scientist by mastering the subject of the Gamma function and putting it to use for you today. The Gamma Function makes an excellent supplementary text for courses such as Advanced Calculus, Special Functions, Probability Theory, Combinatorics, Mathematical Physics, Statistical Mechanics, Thermodynamics and Advanced Engineering Mathematics. Get on top of the subject by purchasing a copy today
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