Results 1 to 10 of about 2,203,972 (289)
Meromorphic functions with missing coefficients defined by $q$-derivative [PDF]
By considering a fixed point in the punctured unit disk and using the $q$--derivative, a new subfamily of meromorphic and univalent functions is defined.
Shahram Najafzadeh +3 more
doaj +5 more sources
A certain ( p , q ) $(p,q)$ -derivative operator and associated divided differences [PDF]
Recently, Sofonea (Gen. Math. 16:47-54, 2008) considered some relations in the context of quantum calculus associated with the q-derivative operator D q $D_{q}$ and divided difference. As applications of the post-quantum calculus known as the ( p , q ) $(
Serkan Araci +3 more
doaj +5 more sources
A certain q-Ruscheweyh type derivative operator and its applications involving multivalent functions
In the present paper, by using the concept of convolution and q-calculus, we define a certain q-derivative (or q-difference) operator for analytic and multivalent (or p-valent) functions.
Bilal Khan +5 more
doaj +2 more sources
Applications of q-Derivative Operator to the Subclass of Bi-Univalent Functions Involving q-Chebyshev Polynomials [PDF]
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.
Bilal Khan +5 more
doaj +2 more sources
On Harmonic Univalent Functions Involving q-Poisson Distribution Series
Lately, the q- derivative operator has been used to investigate several subclasses of harmonic functions in different ways with different perspectives by many researchers and many interesting results were obtained.
Sibel Yalçın
doaj +2 more sources
The Q-Time Deformed Wave Equation
For q∈0,1, we introduce the q-time deformed wave equation; using the q-derivative, the solution of the q-time deformed wave equation is given. Also, we introduce the free-time wave equation which is a limit case q⟶0 of the q-time deformed wave equation.
Al-Nashri Al-Hossain Ahmad +1 more
doaj +2 more sources
An Application for Bi-Concave Functions Associated with q-Convolution
The aim of this paper is to introduce and investigate some new subclasses of bi-concave functions using q-convolution and some applications. These special cases are obtaining by making use of a q- derivative linear operator.
Sheza M. El-Deeb, Adriana Catas
doaj +1 more source
The q-derivative and Hohlov operators have seen much use in recent years. First, numerous well-known principles of the q-derivative operator are highlighted and explained in this research.
Isra Al-Shbeil +2 more
doaj +1 more source
A new generalization of Mittag-Leffler function via q-calculus
The present paper deals with a new different generalization of the Mittag-Leffler function through q-calculus. We then investigate its remarkable properties like convergence, recurrence relation, integral representation, q-derivative formula, q-Laplace ...
Raghib Nadeem +3 more
doaj +1 more source
On q-Quasi-Newton’s Method for Unconstrained Multiobjective Optimization Problems
A parameter-free optimization technique is applied in Quasi-Newton’s method for solving unconstrained multiobjective optimization problems. The components of the Hessian matrix are constructed using q-derivative, which is positive definite at every ...
Kin Keung Lai +2 more
doaj +1 more source

