Results 61 to 70 of about 2,972,572 (324)
MathematicsBi-univalent functions associated with the leaf-like domain within open unit disks are investigated, and a new subclass is introduced and studied in the research presented here.
A. Alsoboh, G. Oros
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On Quantum Differential Subordination Related with Certain Family of Analytic Functions
Journal of Mathematics, 2020 Recently, there is a rapid increase of research in the area of Quantum calculus (known as q-calculus) due to its widespread applications in many areas of study, such as geometric functions theory.
Afis Saliu +3 more
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Arab Journal of Basic and Applied Sciences, 2023 The fractional q-calculus has attracted the interest of a large number of academics over the last four decades or so, due mainly to a wide range of applications that cover natural sciences to social sciences.
Biniyam Shimelis, D. L. Suthar
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Fractal and FractionalRecently, a number of researchers from different fields have taken a keen interest in the domain of fractional q-calculus on the basis of fractional integrals and derivative operators.
Mohammad Faisal Khan, Mohammed AbaOud
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Simpson- and Newton-Type Inequalities for Convex Functions via (p,q)-Calculus
, 2021 In this paper, we establish several new (p,q)-integral identities involving (p,q)-integrals by using the definition of a (p,q)-derivative. These results are then used to derive (p,q)-integral Simpson- and Newton-type inequalities involving convex ...
W. Luangboon +3 more
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A Bi-Starlike Class in a Leaf-like Domain Defined through Subordination via q̧-Calculus
MathematicsBi-univalent functions associated with the leaf-like domain within the open unit disk are investigated and a new subclass is introduced and studied in the research presented here.
A. Amourah +3 more
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Kneser\u27s Theorem in Q-calculus
, 2005 While difference equations deal with discrete calculus and differential equations with continuous calculus, so-called q-difference equations are considered when studying q-calculus. In this paper, we obtain certain oscillation criteria for second-order q-
Bohner, Martin, Unal, Mehmet
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Estimates and properties of certain q-Mellin transform on generalized q-calculus theory
Advances in Differential Equations, 2021 This paper deals with the generalized q -theory of the q -Mellin transform and its certain properties in a set of q -generalized functions. Some related q -equivalence relations, q -quotients of sequences, q -convergence definitions, and q -delta ...
S. Al-Omari
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Generalized $ q $-convex functions characterized by $ q $-calculus
AIMS Mathematics, 2023 <abstract><p>The objective of the current examination is to present new sub-classes of $ q $-convex and $ q $-starlike functions inside $ \mathcal E = \left\{z\in\mathbb C: \left|z\right| < 1\right\} $, by $ q $-difference operator.
Aisha M. Alqahtani +4 more
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AxiomsIn this article, the authors introduce the q-analogue of the M-function, and establish four theorems related to the Riemann–Liouville fractional q-calculus operators pertaining to the newly defined q-analogue of M-functions. In addition, to establish the
B. Shimelis, D.L. Suthar, Dinesh Kumar
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