Results 1 to 10 of about 54,241 (298)

Differential and fuzzy differential sandwich theorems involving quantum calculus operators

Journal of Nigerian Society of Physical Sciences
The principle of subordination is useful in comparing two holomorphic functions when the range of one holomorphic function is a subset of the other and they comply at a single point.
I. R. Silviya, K. Muthunagai
doaj   +3 more sources

Multivalent Functions and Differential Operator Extended by the Quantum Calculus

Fractal and Fractional, 2022
We used the concept of quantum calculus (Jackson’s calculus) in a recent note to develop an extended class of multivalent functions on the open unit disk. Convexity and star-likeness properties are obtained by establishing conditions for this class.
Samir B. Hadid, Rabha W. Ibrahim, Shaher Momani   +2 more
doaj   +2 more sources

Fuzzy Differential Subordination and Superordination Results Involving the q-Hypergeometric Function and Fractional Calculus Aspects

Mathematics, 2022
The concepts of fuzzy differential subordination and superordination were introduced in the geometric function theory as generalizations of the classical notions of differential subordination and superordination.
Alina Alb Lupaş, Georgia Irina Oros
doaj   +2 more sources

Geometric Inequalities via a Symmetric Differential Operator Defined by Quantum Calculus in the Open Unit Disk

Journal of Function Spaces, 2020
The present investigation covenants with the concept of quantum calculus besides the convolution operation to impose a comprehensive symmetric q-differential operator defining new classes of analytic functions. We study the geometric representations with
Rabha W. Ibrahim, Rafida M. Elobaid, Suzan J. Obaiys   +2 more
doaj   +2 more sources

On the quantum differential calculus and the quantum holomorphicity

Journal of Mathematical Physics, 1992
Under some natural assumptions [less restrictive than in the paper by Wess and Zumino (preprint CERN-TH-5697/90, LAPP-TH-284/90)] differential calculi on the quantum plane are found and investigated. Complex structure, complex derivatives, and holomorphic functions on the quantum plane are defined.
T. Brzeziński, H. Dąbrowski, J. Rembieliński   +2 more
semanticscholar   +4 more sources

On the construction of unitary quantum group differential calculus [PDF]

Journal of Physics A: Mathematical and Theoretical, 2015
We develop a construction of the unitary type anti-involution for the quantized differential calculus over GL q ( n ) in the case ∣ q ∣ = 1 . To this end, we consider a joint associative algebra of quantized functions, differential forms and Lie ...
P. Pyatov
semanticscholar   +4 more sources

New approach to solutions of a class of singular fractional q-differential problem via quantum calculus

Advances in Difference Equations, 2020
In the present article, by using the fixed point technique and the Arzelà–Ascoli theorem on cones, we wish to investigate the existence of solutions for a non-linear problems regular and singular fractional q-differential equation (cDqαf)(t)=w(t,f(t),f ...
Sihua Liang, Mohammad Esmael Samei
doaj   +2 more sources

Covariant differential calculus on the quantum hyperplane [PDF]

Nuclear Physics B - Proceedings Supplements, 1991
Abstract We develop a differntial calculus on the quantum hyperplane covariant with respect to the action of the quantum group GLq(n). This is a concrete example of noncommutative differential geometry. We describe the general constraints for a noncommutative differential calculus and verify that the example given here satisfies all these constraints.
J. Wess, B. Zumino
semanticscholar   +3 more sources

Application of (q, τ)-Bernoulli Interpolation to the Spectral Solution of Quantum Differential Equations

International Journal of Differential Equations
In order to solve fractional differential equations on quantum domains, this work provides a spectral approach based on higher-order q,τ-Bernoulli functions and polynomials.
Shaher Momani, Rabha W. Ibrahim
doaj   +2 more sources

Boundary values of Hankel and Toeplitz determinants for q-convex functions [PDF]

MethodsX
The study of holomorphic functions has been recently extended through the application of diverse techniques, among which quantum calculus stands out due to its wide-ranging applications across various scientific disciplines. In this context, we introduce
Sarem H. Hadi, Timilehin Gideon Shaba, Zainab S. Madhi, Maslina Darus, Alina Alb Lupaş, Fairouz Tchier   +5 more
doaj   +2 more sources