On a Sum of the Psi Function with a Logarithm  ABSTRACT  |  FULL TEXT 

Yıl 2011, Cilt: 40 Sayı: 6, 775 - 780, 01.06.2011

Cristinel Mortici

Anahtar Kelimeler

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Kaynakça

• Abramowitz, M. and Stegun, I. A. (Eds.) Handbook of Mathematical Functions with Formu- las, Graphs and Mathematical Tables(Dover, New York, 1965).
• Alzer, H. On some inequalities for the gamma and psi functions, Math. Comp. 66 (217), 373–389, 1997.
• Alzer, H. Sharp inequalities for the harmonic numbers, Expo. Math. 24, 385–388, 2006.
• Batir, N. Some new inequalities for gamma and polygamma functions, J Inequal. Pure Appl. Math. 6 (4), Art. 103 (electronic), 2005.
• Guo, B. -N. and Qi, F. Some properties of the psi and polygamma functions, Hacet. J. Math. Stat. 39 (2), 219–231, 2010.
• Mortici, C. A quicker convergence toward the gamma constant with the logarithm term in- volving the constant e, Carpathian J. Math. 26 (1), 86–91, 2010.
• P´olya, G. and Szeg¨o, C. Problems and Theorems in Analysis, vol. I-II (Springer Verlag, Berlin, Heidelberg, 1972).
• Widder, D. V. The Laplace Transform (Princeton Univ. Press, Princeton, 1981).