A class of logarithmically completely monotonic functions associated with a gamma function.
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Displaying 1 – 20 of 36
A concise proof for properties of three functions involving the exponential function.
Zhang, Shi-Qin, Guo, Bai-Ni, Qi, Feng (2009)
Applied Mathematics E-Notes [electronic only]
A convexity problem for a special function.
Vernescu, Andrei (1998)
General Mathematics
A double inequality for gamma function.
Zhang, Xiaoming, Chu, Yuming (2009)
Journal of Inequalities and Applications [electronic only]
A generalization of Lerch’s formula
Nobushige Kurokawa, Masato Wakayama (2004)
Czechoslovak Mathematical Journal
We give higher-power generalizations of the classical Lerch formula for the gamma function.
A generalization of the dual Beta-Function model.
Alberto Pérez de Vargas, Mariano Quirós (1977)
Collectanea Mathematica
A geometrical proof of a new inequality for the gamma function.
Alsina, C., Tomás, M.S. (2005)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
A logarithmically completely monotonic function involving the Gamma functions.
Chen, Chao-Ping, Li, Xin, Qi, Feng (2006)
General Mathematics
A monotonicity property of the -function.
Vogt, Hendrik, Voigt, Jürgen (2002)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
A new characterization of Euler's gamma function by a functional equation.
H. Haruki (1986)
Aequationes mathematicae
A new characterization of Euler's gamma function by a functional equation.
H. Haruki (1986)
Aequationes mathematicae
A note on an inequality for the gamma function.
Jia, Baoguo (2006)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
A note on an inequality for the gamma function.
Olutunde Imoru, Christopher (1978)
International Journal of Mathematics and Mathematical Sciences
A Note on Badiale's Characterization of the -Gamma Functions
Marino Badiale, Francis J. Sullivan (1984)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
Si precisano alcuni risultati del lavoro accennato nel titolo.
A note on certain inequalities for the gamma function.
Sándor, József (2005)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
A note on Mathieu's inequality.
Dennis C. Russell (1988)
Aequationes mathematicae
A recovery of Brouncker's proof for the quadrature continued fraction.
Sergey Khrushchev (2006)
Publicacions Matemàtiques
350 years ago in Spring of 1655 Sir William Brouncker on a request by John Wallis obtained a beautiful continued fraction for 4/π. Brouncker never published his proof. Many sources on the history of Mathematics claim that this proof was lost forever. In this paper we recover the original proof from Wallis' remarks presented in his Arithmetica Infinitorum. We show that Brouncker's and Wallis' formulas can be extended to MacLaurin's sinusoidal spirals via related Euler's products. We derive Ramanujan's...
A sharp inequality involving the psi function.
Mortici, Cristinel (2010)
Acta Universitatis Apulensis. Mathematics - Informatics
A Short Proof of Selberg's Generalized Beta Formula.
Greg W. Anderson (1991)
Forum mathematicum
Abschätzung der unvollständigen Beta-Funktion in mehreren reellen Variablen und Parametern.
Werner Raab (1991)
Monatshefte für Mathematik
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