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Meromorphic functions with missing coefficients defined by $q$-derivative [PDF]
Journal of Mahani Mathematical Research, 2023 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
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A certain ( p , q ) $(p,q)$ -derivative operator and associated divided differences [PDF]
Journal of Inequalities and Applications, 2016 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
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Kober fractional q-derivative operators
Le Matematiche, 2011 In the present paper, we define right and left sided Kober fractional q-derivative operators and show that these derivative operators are left inverse operators of Kober fractional q-integral operators.
Mridula Garg, Lata Chanchlani
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On generalized composite fractional q-derivative
Le Matematiche, 2015 In the present paper, we define a generalized composite fractional q-derivative D^{\alpha,\beta,\nu}_q and obtain some results for it. These results are image of power function under D^{\alpha,\beta,\nu}_q, composition of Riemann-Liouville type ...
Mridula Garg +2 more
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A certain q-Ruscheweyh type derivative operator and its applications involving multivalent functions
Advances in Difference Equations, 2021 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
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Journal 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.
Bilal Khan +5 more
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An Application for Bi-Concave Functions Associated with q-Convolution
Mathematics, 2023 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
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Construction of the generalised q-derivative operators [PDF]
Journal of Geometry and Physics, 2003 11 pages, LaTeX, published in ...
Parashar, Dayanand, Parashar, Deepak
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Fractal and Fractional, 2022 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
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On q-Quasi-Newton’s Method for Unconstrained Multiobjective Optimization Problems
Mathematics, 2020 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
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