지원사업
학술연구/단체지원/교육 등 연구자 활동을 지속하도록 DBpia가 지원하고 있어요.
커뮤니티
연구자들이 자신의 연구와 전문성을 널리 알리고, 새로운 협력의 기회를 만들 수 있는 네트워킹 공간이에요.
논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 발행연도
- 2019.1
- 수록면
- 1,261 - 1,278 (18page)
이용수
초록· 키워드
오류제보하기
It is well-known that if $\phi ''>0$ for all $x$, $\phi(0)=0$, and $\phi /x$ is interpreted as $\phi '(0)$ for $x=0$, then $\phi /x$ increases for all $x$. This has been extended in [Complete monotonicity and logarithmically complete monotonicity properties for the gamma and psi functions, J. Math. Anal. Appl. \textbf{336} (2007), 812--822]. In this paper, we extend the above result to the very general cases, and then use it to prove some (logarithmically) completely monotonic functions related to the gamma function. We also establish some inequalities for the gamma function and generalize some known results.
목차
등록된 정보가 없습니다.
참고문헌 (54)
참고문헌 신청
M. Abramowitz / 1964 / Handbook of mathematical functions with formulas, graphs, and mathematical tables / Superintendent of Documents, U.S. Government Printing Oce
C. Alsina / 2005 / A geometrical proof of a new inequality for the gamma function / J. Ineq. Pure Appl. Math 6(2)
Horst Alzer / 1993 / Some Gamma Function Inequalities / Mathematics of Computation 60(201):337
Horst Alzer / 1997 / A harmonic mean inequality for the gamma function / Journal of Computational and Applied Mathematics 87(2):195~198
Horst Alzer / 1997 / On some inequalities for the gamma and psi functions / Mathematics of Computation 66(217):373~390
C. Alsina / 2005 / A geometrical proof of a new inequality for the gamma function / J. Ineq. Pure Appl. Math 6(2)
Horst Alzer / 1993 / Some Gamma Function Inequalities / Mathematics of Computation 60(201):337
Horst Alzer / 1997 / A harmonic mean inequality for the gamma function / Journal of Computational and Applied Mathematics 87(2):195~198
Horst Alzer / 1997 / On some inequalities for the gamma and psi functions / Mathematics of Computation 66(217):373~390
함께 읽어보면 좋을 논문
논문 유사도에 따라 DBpia 가 추천하는 논문입니다. 함께 보면 좋을 연관 논문을 확인해보세요!
-
On complete monotonicity of linear combination of finite psi functions
대한수학회논문집
2019 .01
-
Monotonicity criterion and functional inequalities for some $q$-special functions
대한수학회지
2021 .01
-
Some inequalities and absolute monotonicity for modified Bessel functions of the first kind
대한수학회논문집
2016 .01
-
INEQUALITIES FOR THE (q, k)-DEFORMED GAMMA FUNCTION EMANATING FROM CERTAIN PROBLEMS OF TRAFFIC FLOW
호남수학학술지
2016 .01
-
On the coefficients of gamma-starlike functions
대한수학회지
2018 .01
-
AN INTEGRAL REPRESENTATION, SOME INEQUALITIES, AND COMPLETE MONOTONICITY OF THE BERNOULLI NUMBERS OF THE SECOND KIND
대한수학회보
2015 .01
-
MONOTONICITY PROPERTIES OF THE GENERALIZED STRUVE FUNCTIONS
대한수학회지
2017 .01
-
Continued fraction representations of the incomplete gamma function
Proceedings of the Jangjeon Mathematical Society
2024 .04
-
A monotonicity formula and a Liouville type theorem of $V$-harmonic maps
대한수학회보
2019 .01
-
A Study on Increasing the Useful Field of View by Minimizing the Edge Effect of Gamma Camera
한국자기학회 학술연구발표회 논문개요집
2021 .11
-
INSERTION OF A CONTRA-BAIRE-1 (BAIRE-.5) FUNCTION
순수 및 응용수학
2019 .01
-
A NOTE ON DEGENERATE GAMMA FUNCTION AND DEGENERATE STIRLING NUMBER OF THE SECOND KIND
Advanced Studies in Contemporary Mathematics
2018 .01
-
Estimates for Schr\"{o}dinger maximal operators along curve with complex time
대한수학회지
2020 .01
-
On characterizing the gamma and the beta $q$-distributions
대한수학회보
2018 .01
-
Super and strong $\gamma \h$-compactness in Hereditary $m$-Spaces
대한수학회논문집
2024 .07
-
NOTES ON γ-OPEN SETS DEFINED BY γ-OPERATION ON A SUPRATOPOLOGICAL SPACE
충청수학회지
2019 .01
-
A Study on Increasing the Useful Field of View of Gamma Camera through the Expansion of the Use of Photosensors
Journal of Magnetics
2023 .12
-
CERTAIN INTEGRAL FORMULAS INVOLVING LOGARITHM FUNCTION
Nonlinear Functional Analysis and Applications
2018 .12
-
INEQUALITIES OF EXTENDED (p, q)-BETA AND CONFLUENT HYPERGEOMETRIC FUNCTIONS
호남수학학술지
2019 .01
이 논문의 저자 정보
최근 본 자료
댓글(0)
0