Turán-type inequalities for generalized polygamma function

Authors

  • Omprakash Atale  Department of Mathematics, Khandesh College Education Society's. Moolji Jaitha College, K.B.C. North Maharashtra University, Jalgaon, Maharashtra, India

DOI:

https://doi.org/ 10.32628/IJSRST2293162

Keywords:

Turan-type inequalities, Holder’s inequality, k-polygamma function, p-k-polygamma function.

Abstract

Inspired by the work of C. Mortici [1] and A. Laforgia et. al [2] we have established some new Turán-type inequalities for k-polygamma function and p-k-polygamma function.

References

  1. P. Tur´an,On the zeros of the polynomials of Legendre, Casopis Pˇest. Mat. Fys. ˇ 75 (1950), 113–122.
  2. Mortici, Cristinel. (2010). TURN-TYPE INEQUALITIES FOR THE GAMMA AND POLYGAMMA FUNCTIONS. Acta Universitatis Apulensis. Mathematics - Informatics. 23.
  3. A. Laforgia and P. Natalini, Tur´an-type inequalities for some special functions, J. Inequal. Pure Appl. Math., 27 (2006), Issue 1, Art. 32.
  4. Diaz - E. Pariguan, On hypergeometric functions and k-Pochhammer symbol,Divulgaciones Matematicas 15 (2) (2007), 179–192.
  5. Gehlot, Kuldeep Singh. "Two Parameter Gamma Function and It’s Properties." arXiv preprint arXiv:1701.01052 (2017).

International Journal of Scientific Research in Science and Technology

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Published

2022-07-30

Issue

Volume 9, Issue 4, July-August-2022

Section

Research Articles

License

Copyright (c) IJSRST

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

How to Cite

[1]
Omprakash Atale "Turán-type inequalities for generalized polygamma function" International Journal of Scientific Research in Science and Technology(IJSRST), Online ISSN : 2395-602X, Print ISSN : 2395-6011,Volume 9, Issue 4, pp.21-26, July-August-2022. Available at doi : https://doi.org/ 10.32628/IJSRST2293162