Results 31 to 40 of about 6,564,190 (278)
KETIDAKSAMAAN PADA FUNGSI Q-GAMMA [PDF]
, 2012 Alsina and Tomas (2005) discuss about inequaty of the gamma function by geometricalapproach. Sandor (2005) and Baiduri (2008) discuss about some inequalities that involves the gammafunction based on the series representaion of psi function.
., Baiduri
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On the Nonlinear Integro-Differential Equations
Fractal and Fractional, 2021 The goal of this paper is to study the uniqueness of solutions of several nonlinear Liouville–Caputo integro-differential equations with variable coefficients and initial conditions, as well as an associated coupled system in Banach spaces.
Chenkuan Li, Joshua Beaudin
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Inverses of Gamma Functions [PDF]
Constructive Approximation, 2014 Euler's Gamma function $Γ$ either increases or decreases on intervals between two consequtive critical points. The inverse of $Γ$ on intervals of increase is shown to have an extension to a Pick-function and similar results are given on the intervals of decrease, thereby answering a question by Uchiyama.
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Asymptotic Formulas and Inequalities for the Gamma Function in Terms of the Tri-Gamma Function [PDF]
Results in Mathematics, 2015 6 ...
Mortici, Cristinel, Qi, Feng
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On the Multiple Gamma-Functions
Tokyo Journal of Mathematics, 1998 The authors obtain generalizations of the Shintani type infinite product representations for the \(r\)-ple gamma functions \(\Gamma_r(w;\widetilde\omega)\) and \(r\)-ple Stirling's modular forms \(\rho_r(\widetilde\omega)\) in the sense of Barnes. As an application, ``a simple proof'' of the inversion formulas of theta-function and Dedekind \(\eta ...
KATAYAMA, Koji, OHTSUKI, Makoto
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Optimal bounds for the generalized Euler–Mascheroni constant
Journal of Inequalities and Applications, 2018 We provide several sharp upper and lower bounds for the generalized Euler–Mascheroni constant. As consequences, some previous bounds for the Euler–Mascheroni constant are improved.
Ti-Ren Huang +3 more
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AxiomsHilbert-type inequalities derive from the classical Hilbert inequality, and their theoretical work has key applications not only in operator theory but also in various analytic disciplines.
Yong Hong, Qian Zhao, Zhihong Zhao
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Some Inequalities of Extended Hypergeometric Functions
Mathematics, 2021 Hypergeometric functions and their inequalities have found frequent applications in various fields of mathematical sciences. Motivated by the above, we set up certain inequalities including extended type Gauss hypergeometric function and confluent ...
Shilpi Jain +3 more
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Two Approximation Formulas for Gamma Function with Monotonic Remainders
MathematicsIn this paper, two new approximation formulas with monotonic remainders for the gamma function have been presented. Also, we present some numerical comparisons between our new approximation formulas and some known ones, which demonstrate the superiority ...
Mansour Mahmoud, Hanan Almuashi
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Increasing property and logarithmic convexity of functions involving Dirichlet lambda function
Demonstratio Mathematica, 2023 In this article, with the help of an integral representation of the Dirichlet lambda function, by means of a monotonicity rule for the ratio of two integrals with a parameter, and by virtue of complete monotonicity and another property of an elementary ...
Qi Feng, Lim Dongkyu
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