论文信息 - A Double Inequality for the Double Gamma Function

A Double Inequality for the Double Gamma Function

We establish some upper and lower bounds in terms of polygamma functions for the double gamma function (or Barnes G- function). The method we use is new, simple and efficient for such inequalities. Mathematics Subject Classification: Primary: 33B15, 33C99; Sec- ondary: 26D07, 33F99

Murat Cancan | Necdet Batir | Necdet Batır | M. Cancan

[1] Junesang Choi,et al. Some mathematical constants , 2007, Appl. Math. Comput..

[2] V. Adamchik. The Multiple Gamma Function and Its Application to Computation of Series , 2003, math/0308074.

[3] Hari M. Srivastava,et al. Certain Classes of Series Involving the Zeta Function , 1999 .

[4] James S. Harris,et al. Tables of integrals , 1998 .

[5] I. S. Gradshteyn,et al. Table of Integrals, Series, and Products , 1976 .

[6] Hari M. Srivastava,et al. Certain classes of series associated with the Zeta function and multiple gamma functions , 2000 .

[7] Hari M. Srivastava,et al. Multiple Gamma and related functions , 2003, Appl. Math. Comput..

[8] Edmund Taylor Whittaker,et al. A Course of Modern Analysis: An Introduction to the General Theory of Infinite Processes and of Analytic Functions; with an Account of the Principal Transcendental Functions , 1920, Nature.

[9] K. Stolarsky,et al. Generalizations of the Logarithmic Mean , 1975 .

[10] Hari M. Srivastava,et al. Series Associated with the Zeta and Related Functions , 2001 .

[11] Hari M. Srivastava,et al. Series involving the Zeta function and multiple Gamma functions , 2004, Appl. Math. Comput..

[12] J. Crank. Tables of Integrals , 1962 .