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NEW COMPLETE MONOTONICITY PROPERTIES OF THE GAMMA FUNCTION

Batir
장전수학회 (Jangjeon Mathematical Society)|2009.10|Advanced Studies in Contemporary Mathematics|제19권 제2호|pp. 165-170

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참고문헌

키워드

Gamma functioncomplete monotonictydigamma functionharmonic numbers.
주제분류수학

초록

In this paper we prove new complete monotonicity proper- ties of some functions involving the gamma function.

Abstract

In this paper we prove new complete monotonicity proper- ties of some functions involving the gamma function.

참고문헌 (21)

  1. H. Alzer, "Gamma function inequalities, Numer. Algor.,DOI10.1007", 511075-008-9160-4, 2008
  2. H. Alzer, "Monotonicty properties of the gamma function", Appl. Math. Lett., 20, pp.778~781 (2007)
  3. H. Alzer, "Inequalities fo the gamma function", Proc. Amer. Math. Soc., 128, pp.141~147 (1999)
  4. H. Alzer, "Inequalities for the gamma and q-gamma functions", J. Approx. Theory, 144, pp.67~83 (2007)
  5. H. Alzer, "Some Classes of completeley monotonic functions II", The Ramanujan Journal, 11(2), pp.225~248 (2006)
  6. H. Alzer, "On Ramanujan's Double inequality for the gamma function", Bull. London Math. Soc., 35, pp.601~607 (2003)
  7. H. Alzer, "On some inequalities for the gamma and psi functions", Math. Comp., 66(217), pp.373~389 (1997)
  8. G.D. Anderson, "Inequalities for zero-balanced hypergeometric functions", Trans Amer. Math. Soc., 347, pp.1713~1723 (1995)
  9. G. Andrews, "Special functions in Encyclopedia of Mathematics and its Applications, v.71" (1999), Cambridge U. Pres
  10. N. Batir, "Sharp inequalities for factorial n", Proyecciones, 27(1), pp.97~102 (2008)
  11. N. Batir, "On some properties of the gamma function", Expo. Math., 26, pp.187~196 (2008)
  12. N. Batir, "Some new inequalities for gamma and polygamma functions", JIPAM. J. Inequal. Pure Appl., 6(4), pp.9~ (2005)
  13. N. Batir, "Inequalities for the gamma function, Archiv der Math(Basel), accepted", ~
  14. C. Berg, "Potential theorem on locally compact abelian groups", Ergeb. Math. Grenzgeb., 87 (1975), Springer-Verlag
  15. L. Bondesson, "Generalized gamma convulation and Related classes of distributions and densities", Lecture notes in Statistics, 76 (1992), Springer-verlag
  16. W. A. Day, "On monotonicities of the relaxation functions of viscoclastic material", Proc. Cambridge Philos. Soc., 67, pp.503~508 (1970)
  17. W. Feller, "An Introduction to Probability Theory and its applicatipons" (1984), Willey
  18. C. H. Kiberling, "A probabilistic interpretation of completely monotonicity", Aequationes Math., 10, pp.152~164 (1974)
  19. L. Frenzen, "Error bounds for asyptotic expansions of the ratio of two gamma functions", SIAM J. Math. Anal., 18, pp.890~896 (1987)
  20. G. K. Srinivasan, "The gamma function: An Eclectic Tour", Amer. Math. Monthly, (April), pp.297~315 (2007)
  21. D. V. Widder, "The Laplace Transform" (1981), Princeton University Pres

관련 논문AI추천

Inequalities and complete monotonicity for the gamma and related functions최준상, Chao-Ping Chen대한수학회 · 대한수학회논문집2019 · 제34권 제4호Some completely monotonic functions involving the gamma and polygamma functionsAi-Jun Li, Chao-Ping Chen대한수학회 · 대한수학회지2008 · 제45권 제1호COMPLETELY MONOTONIC FUNCTIONS RELATING TO THE GAMMA AND PSI FUNCTIONSX. Li장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2009 · 제12권 제1호TWO NEW PROOFS OF THE COMPLETE MONOTONICITY OF A FUNCTION INVOLVING THE PSI FUNCTIONBai-Ni Guo, Feng Qi대한수학회 · 대한수학회보2010 · 제47권 제1호SOME LOGARITHMICALLY COMPLETELY MONOTONIC FUNCTIONS RELATED TO THE GAMMA FUNCTIONBai-Ni Guo, Feng Qi대한수학회 · 대한수학회지2010 · 제47권 제6호Logarithmetically complete monotonicity properties for the ratio of gamma functionA.-J. Li, C.-P. Chen, W.-Z. Zhao장전수학회 · Advanced Studies in Contemporary Mathematics2006 · 제13권 제2호

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