Results 1 to 10 of about 10,247 (97)

Some general Gompertz and Gompertz-Makeham life expectancy models

open access: yesAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2022
Life expectancy models are highly important, as they indicate the populations health. The present models consider several types of factors, and by analyzing them we extend the formulae to new, mixed types in order to create particular representations ...
Drăgan Mihăiţă
doaj   +1 more source

On the Nonlinear Integro-Differential Equations

open access: yesFractal 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
doaj   +1 more source

Some Inequalities of Extended Hypergeometric Functions

open access: yesMathematics, 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
doaj   +1 more source

Some Results of Extended Beta Function and Hypergeometric Functions by Using Wiman’s Function

open access: yesMathematics, 2021
The main aim of this research paper is to introduce a new extension of the Gauss hypergeometric function and confluent hypergeometric function by using an extended beta function.
Shilpi Jain   +4 more
doaj   +1 more source

A short note on a extended finite secant series

open access: yesAIMS Mathematics, 2023
In this paper, a summation formula for a general family of a finite secant sum has been extended by making use of a particularly convenient integration contour method.
Robert Reynolds
doaj   +1 more source

Fixed-Time Stabilization of a Class of Stochastic Nonlinear Systems

open access: yesActuators, 2023
This paper investigates an improved fixed-time stability theory together with a state feedback controller for a class of nonlinear stochastic systems.
Zhenzhen Long   +3 more
doaj   +1 more source

Monotonicity and inequalities involving the incomplete gamma function

open access: yesJournal of Inequalities and Applications, 2016
In the article, we deal with the monotonicity of the function x → [ ( x p + a ) 1 / p − x ] / I p ( x ) $x\rightarrow[ (x^{p}+a )^{1/p}-x]/I_{p}(x)$ on the interval ( 0 , ∞ ) $(0, \infty)$ for p > 1 $p>1$ and a > 0 $a>0$ , and present the necessary and ...
Zhen-Hang Yang, Wen Zhang, Yu-Ming Chu
doaj   +1 more source

Some new results for the Srivastava-Luo-Raina $\mathbb{M}$-transform pertaining to the incomplete H-functions

open access: yesAIMS Mathematics, 2020
The image formula of the incomplete H-functions is derived in this paper by using the Srivastava-Luo-Raina M-Transform. Also, we obtained the image formulae of some useful and important cases of incomplete H-function.
M. K. Bansal   +4 more
doaj   +1 more source

Monotonicity of the incomplete gamma function with applications

open access: yesJournal of Inequalities and Applications, 2016
In the article, we discuss the monotonicity properties of the function x → ( 1 − e − a x p ) 1 / p / ∫ 0 x e − t p d t $x\rightarrow (1-e^{-ax^{p}} )^{1/p}/\int_{0}^{x}e^{-t^{p}}\,dt$ for a , p > 0 $a, p>0$ with p ≠ 1 $p\neq1$ on ( 0 , ∞ ) $(0, \infty ...
Zhen-Hang Yang, Wen Zhang, Yu-Ming Chu
doaj   +1 more source

Approximation for the gamma function via the tri-gamma function

open access: yesJournal of Inequalities and Applications, 2017
In this paper, we present a new sharp approximation for the gamma function via the tri-gamma function. This approximation is fast in comparison with the recently discovered asymptotic series.
Xu You, Xiaocui Li
doaj   +1 more source

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