Some Properties of the Psi and Polygamma Functions

Volume: 39 Number: 2 February 1, 2010
  • Bai-ni Guo
  • Feng Qi
EN TR

Some Properties of the Psi and Polygamma Functions

Abstract

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Keywords

References

  1. Abramowitz, M. and Stegun, I. A. (Eds), Handbook of Mathematical Functions with Formu- las, Graphs, and Mathematical Tables(National Bureau of Standards, Applied Mathematics Series 55, 4th printing, with corrections, Washington, 1965).
  2. Alzer, H. Inequalities for the volume of the unit ball in Rn, II, Mediterr. J. Math. 5 (4), –413, 2008.
  3. Alzer, H. Sharp inequalities for the harmonic numbers, Expo. Math. 24 (4), 385–388, 2006.
  4. Andrews, G. E., Askey, R. and Roy, R. Special Functions (Encyclopedia of Mathematics and its Applications 71, Cambridge University Press, Cambridge, 1999).
  5. Atanassov, R. D. and Tsoukrovski, U. V. Some properties of a class of logarithmically com- pletely monotonic functions, C. R. Acad. Bulgare Sci. 41 (2), 21–23, 1988.
  6. Batir, N. Inequalities for the gamma function, Arch. Math. 91, 554–563, 2008.
  7. Batir, N. On some properties of digamma and polygamma functions, J. Math. Anal. Appl. (1), 452–465, 2007.
  8. Batir, N. Some new inequalities for gamma and polygamma functions, J. Inequal. Pure Appl. Math. 6 (4), Art. 103, 2005.

Details

Primary Language

Turkish

Subjects

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Journal Section

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Authors

Bai-ni Guo This is me

Feng Qi This is me

Publication Date

February 1, 2010

Submission Date

May 12, 2014

Acceptance Date

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Published in Issue

Year 2010 Volume: 39 Number: 2

APA
Guo, B.- ni, & Qi, F. (2010). Some Properties of the Psi and Polygamma Functions. Hacettepe Journal of Mathematics and Statistics, 39(2), 219-231. https://izlik.org/JA53HE29CK
AMA
1.Guo B ni, Qi F. Some Properties of the Psi and Polygamma Functions. Hacettepe Journal of Mathematics and Statistics. 2010;39(2):219-231. https://izlik.org/JA53HE29CK
Chicago
Guo, Bai-ni, and Feng Qi. 2010. “Some Properties of the Psi and Polygamma Functions”. Hacettepe Journal of Mathematics and Statistics 39 (2): 219-31. https://izlik.org/JA53HE29CK.
EndNote
Guo B- ni, Qi F (February 1, 2010) Some Properties of the Psi and Polygamma Functions. Hacettepe Journal of Mathematics and Statistics 39 2 219–231.
IEEE
[1]B.- ni Guo and F. Qi, “Some Properties of the Psi and Polygamma Functions”, Hacettepe Journal of Mathematics and Statistics, vol. 39, no. 2, pp. 219–231, Feb. 2010, [Online]. Available: https://izlik.org/JA53HE29CK
ISNAD
Guo, Bai-ni - Qi, Feng. “Some Properties of the Psi and Polygamma Functions”. Hacettepe Journal of Mathematics and Statistics 39/2 (February 1, 2010): 219-231. https://izlik.org/JA53HE29CK.
JAMA
1.Guo B- ni, Qi F. Some Properties of the Psi and Polygamma Functions. Hacettepe Journal of Mathematics and Statistics. 2010;39:219–231.
MLA
Guo, Bai-ni, and Feng Qi. “Some Properties of the Psi and Polygamma Functions”. Hacettepe Journal of Mathematics and Statistics, vol. 39, no. 2, Feb. 2010, pp. 219-31, https://izlik.org/JA53HE29CK.
Vancouver
1.Bai-ni Guo, Feng Qi. Some Properties of the Psi and Polygamma Functions. Hacettepe Journal of Mathematics and Statistics [Internet]. 2010 Feb. 1;39(2):219-31. Available from: https://izlik.org/JA53HE29CK