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Extending and Refining Some Inequalities for the Beta Func tion in n Variables

Mustapha Raissouli|Salma Ibrahim El-Soubhy
경북대학교 자연과학대학 수학과|2021.12|Kyungpook Mathematical Journal|제61권 제4호|pp. 765-779

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키워드

InequalitiesBeta functionBeta function in n variables
주제분류수학

초록

The fundamental goal of this paper is to investigate some inequalities in volving the special beta function in n variables. Our theoretical results obtained here are extensions and refinements for some inequalities already discussed in the literature.

Abstract

The fundamental goal of this paper is to investigate some inequalities in volving the special beta function in n variables. Our theoretical results obtained here are extensions and refinements for some inequalities already discussed in the literature.

참고문헌 (12)

  1. H. Alzer, "Inequalities for the beta function in n variables", Anziam J, 44, pp.609~923 (2003)
  2. G. D. Anderson, "Conformal invariants, inequalities, and quasiconformal maps" (1997), Wiley
  3. L. C. Andrews, "Special functions for engineers and applied mathematicians" (1985), MacMillan Publishing Company
  4. G. E. Andrews, "Special functions" (1999), Cambridge Univ. Press
  5. W. W. Bell, "Special functions for scientist and engineers" (1968), Oxford Univ. Press
  6. B. C. Carlson, "Special functions of applied mathematics" (1977), Academic Press Inc
  7. S. S. Dragomir, "Inequalities for beta and gamma functions via some classical and new integral inequalities", J. Inequal. Appl, 5, pp.103~165 (2000)
  8. L. Greni´e, "Inequalities for the beta function", Math. Inequal. Appl, 18(4), pp.1427~1442 (2015)
  9. P. Iv´ady, "On a beta function inequality", J. Math. Inequal, 6(3), pp.333~341 (2012)
  10. N. N. Lebedev, "Special functions and their applications" (1965), Prentice-Hall, Inc
  11. Y. L. Luke, "The special functions and their approximations" (1969), Academic Press Inc
  12. E. T. Whittaker, "A course of modern analysis" (1962), Cambridge Univ. Press

관련 논문AI추천

INEQUALITIES INVOLVING EXTENDED k-GAMMA AND k-BETA FUNCTIONS김태균, G. Rahman, K.S. NISAR, M. ARSHAD, S. MUBEEN장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2018 · 제21권 제1호Some completely monotonic functions involving the gamma and polygamma functionsAi-Jun Li, Chao-Ping Chen대한수학회 · 대한수학회지2008 · 제45권 제1호Certain Fractional Integral Inequalities Involving Hypergeometric Operators최준상, Praveen Agarwal영남수학회 · East Asian Mathematical Journal2014 · 제30권 제3호Inequalities and complete monotonicity for the gamma and related functions최준상, Chao-Ping Chen대한수학회 · 대한수학회논문집2019 · 제34권 제4호Extended beta, hypergeometric and confluent hypergeometric functions via multi-index mittag-leffler functionMohd Aman, Nabiullah Khan, Talha Usman장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2022 · 제25권 제1호Landen type inequalities for generalized elliptic integralsLI YIN, LU-FANG MI장전수학회 · Advanced Studies in Contemporary Mathematics2016 · 제26권 제4호

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