Results 21 to 30 of about 211,321 (287)

The Properties of Meromorphic Multivalent q-Starlike Functions in the Janowski Domain

open access: yesFractal and Fractional, 2023
Many researchers have defined the q-analogous of differential and integral operators for analytic functions using the concept of quantum calculus in the geometric function theory.
Isra Al-Shbeil   +5 more
doaj   +1 more source

New Symbolic Tools for Differential Geometry, Gravitation, and Field Theory [PDF]

open access: yes, 2011
DifferentialGeometry is a Maple software package which symbolically performs fundamental operations of calculus on manifolds, differential geometry, tensor calculus, Lie algebras, Lie groups, transformation groups, jet spaces, and the variational ...
Acvevedo M.   +5 more
core   +4 more sources

On stability of a class of second alpha-order fractal differential equations

open access: yesAIMS Mathematics, 2020
In this paper, we give a review of fractal calculus which is an expansion of standard calculus. Fractal calculus is applied for functions that are not differentiable or integrable on totally disconnected fractal sets such as middle-μ Cantor sets ...
Cemil Tunç   +1 more
doaj   +1 more source

An Introduction to Spinor Differential and Integral Calculus from q− Lorentzian Algebra

open access: yesRevista Integración, 2023
We introduce in this paper the spinor differential and integral calculus from q- lorentzian algebra, differential spinor equation and lorentzian q− spinor differential equation. Finally a few comments.
Julio Cesar Jaramillo Quiceno
doaj   +1 more source

Quantum Space-time and Classical Gravity [PDF]

open access: yes, 1996
A method has been recently proposed for defining an arbitrary number of differential calculi over a given noncommutative associative algebra. As an example a version of quantized space-time is considered here.
Madore, J., Mourad, J.
core   +2 more sources

Convoluted fractional differentials of various forms utilizing the generalized Raina's function description with applications

open access: yesJournal of Taibah University for Science, 2022
A generalized differential operator utilizing Raina's function is constructed in light of a certain type of fractional calculus. We next use the generalized operators to build a formula for analytic functions of type normalized.
Rabha W. Ibrahim, Dumitru Baleanu
doaj   +1 more source

A Geometry for Multidimensional Integrable Systems [PDF]

open access: yes, 1996
A deformed differential calculus is developed based on an associative star-product. In two dimensions the Hamiltonian vector fields model the algebra of pseudo-differential operator, as used in the theory of integrable systems.
Strachan, I. A. B.
core   +2 more sources

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

open access: yesMathematics, 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   +1 more source

Lie Calculus

open access: yes, 2017
We explain that general differential calculus and Lie theory have a common foundation: Lie Calculus is differential calculus, seen from the point of view of Lie theory, by making use of the groupoid concept as link between them.
Bertram, Wolfgang
core   +1 more source

Linear differential operators on contact manifolds [PDF]

open access: yes, 2012
We consider differential operators between sections of arbitrary powers of the determinant line bundle over a contact manifold. We extend the standard notions of the Heisenberg calculus: noncommutative symbolic calculus, the principal symbol, and the ...
Charles H. Conley   +4 more
core   +3 more sources

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