Results 11 to 20 of about 3,014,066 (230)

Iterative Positive Solutions to a Coupled Riemann-Liouville Fractional q -Difference System with the Caputo Fractional q -Derivative Boundary Conditions

open access: yesJournal of Function Spaces, 2023
This paper is devoted to the existence of positive solutions for a nonlinear coupled Riemann-Liouville fractional q -difference system, with multistrip and multipoint mixed boundary conditions under Caputo fractional q -derivative.
Yuan Meng, Xinran Du, H. Pang
semanticscholar   +1 more source

Subclasses of p-Valent κ-Uniformly Convex and Starlike Functions Defined by the q-Derivative Operator

open access: yesMathematics, 2023
The potential for widespread applications of the geometric and mapping properties of functions of a complex variable has motivated this article. On the other hand, the basic or quantum (or q-) derivatives and the basic or quantum (or q-) integrals are ...
E. E. Ali, H. M. Srivastava, A. Albalahi
semanticscholar   +1 more source

Applications of q‐Derivative Operator to the Subclass of Bi‐Univalent Functions Involving q‐Chebyshev Polynomials

open access: yesJournal of mathematics, 2022
In recent years, the usage of the q‐derivative and symmetric q‐derivative operators is significant. In this study, firstly, many known concepts of the q‐derivative operator are highlighted and given.
B. Khan   +5 more
semanticscholar   +1 more source

Certain Subclasses of Analytic and Bi-Univalent Functions Governed by the Gegenbauer Polynomials Linked with q-Derivative

open access: yesSymmetry, 2023
In this paper, we introduce and investigate two new subclasses of analytic and bi-univalent functions using the q-derivative operator ...
S. Kazımoğlu   +2 more
semanticscholar   +1 more source

Applications of the q-Derivative Operator to New Families of Bi-Univalent Functions Related to the Legendre Polynomials

open access: yesAxioms, 2022
By using the q-derivative operator and the Legendre polynomials, some new subclasses of q-starlike functions and bi-univalent functions are introduced.
Ying Cheng, R. Srivastava, Jin-Lin Liu
semanticscholar   +1 more source

Subclasses of Analytic Functions with Negative Coefficients Involving q-Derivative Operator

open access: yesScience and Technology Indonesia, 2022
Let A denote the class of functions f which are analytic in the open unit disk U. The subclass of A consisting of univalent functions is denoted by M.
Andy Liew Pik Hern, A. Janteng, R. Omar
semanticscholar   +1 more source

A Class of k-Symmetric Harmonic Functions Involving a Certain q-Derivative Operator

open access: yesMathematics, 2021
In this paper, we introduce a new class of harmonic univalent functions with respect to k-symmetric points by using a newly-defined q-analog of the derivative operator for complex harmonic functions.
H. Srivastava   +4 more
semanticscholar   +1 more source

Certain Subclasses of Meromorphically q-Starlike Functions Associated with the q-Derivative Operators

open access: yesUkrains'kyi Matematychnyi Zhurnal, 2021
We establish several general results concerning the partial sums of meromorphically starlike functions defined by means of a certain class of q -derivative (or q -difference) operators.
H. Srivastava   +5 more
semanticscholar   +1 more source

On a generalized class of bi-univalent functions defined by subordination and \(q\)-derivative operator

open access: yesOpen Journal of Mathematical Analysis, 2021
In this paper, the \(q\)-derivative operator and the principle of subordination were employed to define a subclass \(\mathcal{B}_q(\tau,\lambda,\phi)\) of analytic and bi-univalent functions in the open unit disk \(\mathcal{U}\).
A. Lasode, T. Opoola
semanticscholar   +1 more source

A possible deformed algebra and calculus inspired in nonextensive thermostatistics [PDF]

open access: yes, 2004
We present a deformed algebra related to the q-exponential and the q-logarithm functions that emerge from nonextensive statistical mechanics. We also develop a q-derivative (and consistently a q-integral) for which the q-exponential is an eigenfunction ...
Borges, Ernesto P.
core   +1 more source

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