Results 11 to 20 of about 36 (36)

Decreasing and complete monotonicity of functions defined by derivatives of completely monotonic function involving trigamma function

Demonstratio Mathematica
In this study, using convolution theorem of the Laplace transforms, a monotonicity rule for the ratio of two Laplace transforms, Bernstein’s theorem for completely monotonic functions, and other analytic techniques, the authors verify decreasing property
Yin Hong-Ping, Han Ling-Xiong, Qi Feng
doaj   +1 more source

An analysis of exponential kernel fractional difference operator for delta positivity

Nonlinear Engineering
Positivity analysis for a fractional difference operator including an exponential formula in its kernel has been examined. A composition of two fractional difference operators of order (ν,μ)\left(\nu ,\mu ) in the sense of Liouville–Caputo type operators
Mohammed Pshtiwan Othman
doaj   +1 more source

On singular nonlinear distributional and impulsive initial and boundary value problems

Boundary Value Problems, 2011
Purpose To derive existence and comparison results for extremal solutions of nonlinear singular distributional initial value problems and boundary value problems.
Heikkilä Seppo
doaj  

Necessary and sufficient conditions for a class of functions and their reciprocals to be logarithmically completely monotonic

Journal of Inequalities and Applications, 2011
We prove that the function F α,β (x) = x α Γ β (x)/Γ(βx) is strictly logarithmically completely monotonic on (0, ∞) if and only if (α, β) ∈ {(α, β) : β > 0, β ≥ 2 ...
Lv Yu-Pei, Sun Tian-Chuan, Chu Yu-Ming
doaj  

Optical soliton solutions of the coupled Radhakrishnan-Kundu-Lakshmanan equation by using the extended direct algebraic approach. [PDF]

Heliyon, 2023
Mahmood A, Srivastava HM, Abbas M, Abdullah FA, Othman Mohammed P, Baleanu D, Chorfi N.   +6 more
europepmc   +1 more source

Convexity of ratios of the modified Bessel functions of the first kind with applications. [PDF]

Rev Mat Complut, 2022
Yang ZH, Tian JF.
europepmc   +1 more source

Equality of Ultradifferentiable Classes by Means of Indices of Mixed O-regular Variation. [PDF]

Results Math, 2022
Jiménez-Garrido J, Sanz J, Schindl G.
europepmc   +1 more source

Notes on three conjectures involving the digamma and generalized digamma functions. [PDF]

J Inequal Appl, 2018
Matejíčka L.
europepmc   +1 more source

On approximating the modified Bessel function of the second kind. [PDF]

J Inequal Appl, 2017
Yang ZH, Chu YM.
europepmc   +1 more source

Mushroom Bulgaria inquinans Modulates Host Immunological Response and Gut Microbiota in Mice. [PDF]

Front Nutr, 2020
Sang H, Xie Y, Su X, Zhang M, Zhang Y, Liu K, Wang J.   +6 more
europepmc   +1 more source