scholarly journals On (p,q)-Sumudu and (p,q)-Laplace Transforms of the Basic Analogue of Aleph-Function

Symmetry ◽  
2020 ◽  
Vol 12 (3) ◽  
pp. 390
Author(s):  
Asifa Tassaddiq ◽  
Altaf Ahmad Bhat ◽  
D. K. Jain ◽  
Farhad Ali

In this paper, we introduce the definitions of Sumudu and Laplace transforms of first and second kind in quantum calculus by using functions of several variables. On account of the general nature of the ( p , q ) -analogue of Aleph-function, a large number of new and known results for these transforms were obtained. Also, we obtain some interesting relationships and identities for these transforms. We also derive some correlations among Aleph function and the above-mentioned integral transforms in quantum calculus.

2019 ◽  
Vol 118 (2) ◽  
pp. 189-211
Author(s):  
Altaf Ahmad Bhat ◽  
Garima Singh ◽  
Renu Jain ◽  
D. K. Jain

1966 ◽  
Vol 18 ◽  
pp. 1325-1332 ◽  
Author(s):  
J. L. B. Cooper

In a previous paper (2), I discussed conditions in order that a holomorphic function f(w) be a Laplace transform of a function F(t) such that, for some a, F(t)e-at ∈ Lp(0, ∞). These conditions involved (a) the behaviour of integral transforms of the values of the function on a vertical line w = const, and (b) conditions involving the order of magnitude of the function at infinity. The present article discusses the corresponding question for Laplace transforms of distributions.


Filomat ◽  
2017 ◽  
Vol 31 (9) ◽  
pp. 2587-2598 ◽  
Author(s):  
Shrideh Al-Omari

Theory and applications of q-integral transforms have been evolving rapidly over the recent years. Consequently, several q-analogues of certain classical integrals have been investigated by many authors in various citations. In this paper, we give the q-analogues of the Natural transform and we apply further the resulting analogues to three families of q-Bessel functions. Results of this paper are new and complement previously known results in this theory. Moreover, we give some examples to show effectiveness of the proposed results in case of q-Sumudu and q-Laplace transforms.


2021 ◽  
Vol 13 (S) ◽  
pp. 41-56
Author(s):  
Grigory V. FEDOTENKOV ◽  
Andrey V. GRITSKOV GRITSKOV ◽  
Dmitry Y. LEVITSKIY ◽  
Yana A. VAHTEROVA ◽  
Ying SUN

The problems of Timoshenko beams and plates lateral vibrations under the influence of unsteady loads are considered. Both beam and plate is supposed to be unlimited. In case of the plate the problem has been simply studied. The approach to the solution was based on dominant function method and principle of superposition. Integral models of solutions with cores as dominant functions were built which could be analytically found with the help of the Fourier and Laplace integral transforms. Two original analytical methods for Fourier and Laplace transforms were offered and realized. The examples of calculations were given.


2017 ◽  
Vol 35 (1) ◽  
pp. 173
Author(s):  
Arman Aghili

AbstractIn this paper, the authors provided a discussion on one and two dimensional Laplace transforms and generalized Stieltjes transform and their applications in evaluating special series and integrals. Finally, we implemented the joint Laplace – Fourier transforms to construct exact solution for a variant of the Kd.V equation. Illustrative examples are also provided.


2020 ◽  
Vol 6 (2) ◽  
pp. 243-254 ◽  
Author(s):  
Sapna Meena ◽  
Sanjay Bhatter ◽  
Kamlesh Jangid ◽  
Sunil Dutt Purohit

AbstractIn this article, we have derived some integral transforms of the polynomial weighted incomplete H-functions and incomplete ̄H-functions. The obtained image formulas are of general nature and may, as special cases, give rise to integral transforms involved with the H-functions and ̄H-functions.


1999 ◽  
Vol 10 (2) ◽  
pp. 77-86
Author(s):  
Martina Kindsmüller ◽  
Andrea Kaindl ◽  
Uwe Schuri ◽  
Alf Zimmer

Topographical Orientation in Patients with Acquired Brain Damage Abstract: A study was conducted to investigate the abilities of topographical orientation in patients with acquired brain damage. The first study investigates the correlation between wayfinding in a hospital setting and various sensory and cognitive deficits as well as the predictability of navigating performance by specific tests, self-rating of orientation ability and rating by staff. The investigation included 35 neuropsychological patients as well as 9 control subjects. Several variables predicted the wayfinding performance reasonably well: memory tests like the one introduced by Muramoto and a subtest of the Rivermead Behavioral Memory Test, the Map Reading Test and the rating by hospital staff. Patients with hemianopia experienced significant difficulty in the task.


Author(s):  
Endy Gunanto ◽  
Yenni Kurnia Gusti

In this article we present a conceptual of the effect of cross culture on consumer behavior incorporating the impact of globalization. This conceptual idea shows that culture inûuences various domains of consumer behavior directly as well as through international organization to implement marketing strategy. The conceptual identify several factors such as norm and value in the community, several variables and also depicts the impact of other environmental factors and marketing strategy elements on consumer behavior. We also identify categories of consumer culture orientation resulting from globalization. Highlights of each of the several other articles included in this special issue in Asia region. We conclude with the contributions of the articles in terms of the consumer cultural orientations and identify directions for future research.


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