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

Year 2011, Volume: 40 Issue: 6, 775 - 780, 01.06.2011

References

  • 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).

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

Year 2011, Volume: 40 Issue: 6, 775 - 780, 01.06.2011

References

  • 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).
There are 8 citations in total.

Details

Primary Language Turkish
Journal Section Mathematics
Authors

Cristinel Mortici This is me

Publication Date June 1, 2011
Published in Issue Year 2011 Volume: 40 Issue: 6

Cite

APA Mortici, C. (2011). On a Sum of the Psi Function with a Logarithm  ABSTRACT  |  FULL TEXT . Hacettepe Journal of Mathematics and Statistics, 40(6), 775-780.
AMA Mortici C. On a Sum of the Psi Function with a Logarithm  ABSTRACT  |  FULL TEXT . Hacettepe Journal of Mathematics and Statistics. June 2011;40(6):775-780.
Chicago Mortici, Cristinel. “On a Sum of the Psi Function With a Logarithm  ABSTRACT  |  FULL TEXT ”. Hacettepe Journal of Mathematics and Statistics 40, no. 6 (June 2011): 775-80.
EndNote Mortici C (June 1, 2011) On a Sum of the Psi Function with a Logarithm  ABSTRACT  |  FULL TEXT . Hacettepe Journal of Mathematics and Statistics 40 6 775–780.
IEEE C. Mortici, “On a Sum of the Psi Function with a Logarithm  ABSTRACT  |  FULL TEXT ”, Hacettepe Journal of Mathematics and Statistics, vol. 40, no. 6, pp. 775–780, 2011.
ISNAD Mortici, Cristinel. “On a Sum of the Psi Function With a Logarithm  ABSTRACT  |  FULL TEXT ”. Hacettepe Journal of Mathematics and Statistics 40/6 (June 2011), 775-780.
JAMA Mortici C. On a Sum of the Psi Function with a Logarithm  ABSTRACT  |  FULL TEXT . Hacettepe Journal of Mathematics and Statistics. 2011;40:775–780.
MLA Mortici, Cristinel. “On a Sum of the Psi Function With a Logarithm  ABSTRACT  |  FULL TEXT ”. Hacettepe Journal of Mathematics and Statistics, vol. 40, no. 6, 2011, pp. 775-80.
Vancouver Mortici C. On a Sum of the Psi Function with a Logarithm  ABSTRACT  |  FULL TEXT . Hacettepe Journal of Mathematics and Statistics. 2011;40(6):775-80.