Results 31 to 40 of about 88 (84)

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

On the properties and algebraic features of extended multivariate Hermite-based Appell polynomials

Demonstratio Mathematica
This paper introduces a new family of multivariate Hermite-based Appell polynomials with a one-parameter extension, defined through an appropriate generating function.
Zayed Mohra, Alqurashi Taghreed, Khan Waseem Ahmad, Wani Shahid Ahmad, Oros Georgia Irina   +4 more
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

Parametric Fourier and Mellin transforms of power-constructible functions

Forum of Mathematics, Sigma
We enrich the class of power-constructible functions, introduced in [CCRS23], to a class $\mathcal {C}^{\mathcal {M,F}}$ of algebras of functions which contains all complex powers of subanalytic functions and their parametric Mellin and Fourier ...
Raf Cluckers, Georges Comte, Tamara Servi   +2 more
doaj   +1 more source

Certain properties and characterizations of a novel family of bivariate 2D-q Hermite polynomials

Open Mathematics
This study presents a novel family of bivariate 2D-qq Hermite polynomials. We derive explicit forms and qq-partial differential equations and investigate numerical aspects associated with these polynomials.
Wani Shahid Ahmad, Zayed Mohra, Nahid Tabinda   +2 more
doaj   +1 more source

Two-iterated degenerate Appell polynomials: properties and applications

Arab Journal of Basic and Applied Sciences
In the development of hybrid special polynomials, it is essential to incorporate the monomiality principle, operational rules, and other related properties.
Shahid Ahmad Wani
doaj   +1 more source

Hypergeometric series approach to the p-generalized Masjed-Jamei type inequality

Demonstratio Mathematica
In this paper, we establish a counterpart of the Masjed-Jamei inequality involving the inverse hyperbolic tangent and inverse trigonometric sine functions, and extend this Masjed-Jamei type inequality to the setting of p-generalized inverse trigonometric
Liao Yuqun, Zhao Tiehong
doaj   +1 more source

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

New approximation inequalities for circular functions. [PDF]

J Inequal Appl, 2018
Zhu L, Nenezić M.
europepmc   +1 more source

Refinements and generalizations of some inequalities of Shafer-Fink's type for the inverse sine function. [PDF]

J Inequal Appl, 2017
Malešević B, Rašajski M, Lutovac T.
europepmc   +1 more source