Results 11 to 20 of about 75,312 (219)

Growth and Approximation of Laplace-Stieltjes Transform with p,q-Proximate Order Converges on the Whole Plane [PDF]

open access: yesJournal of Function Spaces, 2020
One purpose of this paper is to study the growth of entire functions defined by Laplace-Stieltjes transform converges on the whole complex plane, by introducing the concept of p,q-proximate order, and one equivalence theorem of the p,q-proximate order of
Yong Qin Cui, Hong Yan Xu
doaj   +2 more sources

Evaluating Improper Integrals using Laplace Transforms [PDF]

open access: yes, 2023
We discuss and verify an interesting method for evaluating certain integrals of the form R ∞0 f(t) dt using Laplace transforms. Careful proofs are given to justify the method and establish some limits that streamline the computations.
Stewart, Sean M., Gordon, Russell A.
core   +1 more source

The Laguerre transform of a convolution product of vector-valued functions.

open access: yesМатематичні Студії, 2021
The Laguerre transform is applied to the convolution product of functions of a real argument (over the time axis) with values in Hilbert spaces.
A. O. Muzychuk
doaj   +1 more source

Fractional calculus and integral transforms of the product of a general class of polynomial and incomplete Fox–Wright functions

open access: yesAdvances in Difference Equations, 2020
Motivated by a recent study on certain families of the incomplete H-functions (Srivastava et al. in Russ. J. Math. Phys. 25(1):116–138, 2018), we aim to investigate and develop several interesting properties related to product of a more general ...
K. Jangid   +3 more
doaj   +1 more source

Beyond DGLAP improved saturation model

open access: yesEuropean Physical Journal C: Particles and Fields, 2023
We present a modification of the DGLAP improved saturation model with respect to the nonlinear correction (NLC). The GLR-MQ improved saturation model is considered by employing the parametrization of proton structure function due to the Laplace ...
G. R. Boroun
doaj   +1 more source

Regularity Properties and Lipschitz Spaces Adapted to High-Order Schrödinger Operators

open access: yesMathematics, 2022
Let be the high-order Schrödinger operator (−Δ)2+V2, where V is a non-negative potential satisfying the reverse Hölder inequality (RHq), with q>n/2 and n≥5.
Wei Chen, Chao Zhang
doaj   +1 more source

Nanomaterials in convection flow of nanofluid in upright channel with gradients

open access: yesJournal of Materials Research and Technology, 2021
This article highlights the natural convection nanofluids flow of in an upright channel undergoing chemical reaction and heat absorption. Five different nanoparticles such as titanium oxide (TiO2), aluminum oxide (Al2O3), copper oxide (CuO), copper (Cu ...
Imran Siddique   +3 more
doaj   +1 more source

Complex Generalized Representation of Gamma Function Leading to the Distributional Solution of a Singular Fractional Integral Equation

open access: yesAxioms, 2023
Firstly, a basic question to find the Laplace transform using the classical representation of gamma function makes no sense because the singularity at the origin nurtures so rapidly that Γze−sz cannot be integrated over positive real numbers.
Asifa Tassaddiq   +3 more
doaj   +1 more source

Solution of Fractional Kinetic Equations Associated with the p,q-Mathieu-Type Series

open access: yesDiscrete Dynamics in Nature and Society, 2020
In this paper, our aim is to finding the solutions of the fractional kinetic equation related with the p,q-Mathieu-type series through the procedure of Sumudu and Laplace transforms.
D. L. Suthar   +2 more
doaj   +1 more source

A new q-Laplace transform with many examples [PDF]

open access: yesAnnales Universitatis Mariae Curie-Sklodowska. Sectio A. Mathematica
In the spirit of Hahn 1949, the purpose of this paper is to introduce a new \(q\)-Laplace transform for a Jackson \(q\)-integral \(\int_{0}^{a} f(t,q) \,d_q(t)\), with upper integration boundary \(\frac{1}{s(1-q)}\). For this purpose we redefine this \(q\
Thomas Ernst
semanticscholar   +3 more sources

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