Results 11 to 20 of about 2,203,972 (289)
Kober fractional q-derivative operators [PDF]
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 [PDF]
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 Note on the q-Derivative Operator
Journal of Mathematical Analysis and Applications, 1993 We prove a formula for the nth power of the q-derivative operator at x=0 for every function whose nth derivative at x=0 exists. We give a proof in both the real variable and the complex variable case.
Koekoek, J., Koekoek, R.
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The q-derivative and applications to q-Szász Mirakyan operators
Calcolo, 2006 The article is devoted to investigation of so-called \(q\)-Szász Mirakyan operators introduced recently by one of the authors. These operators are defined in the following way. For \(f\in C\left[0,\infty\right)\), \(q\in\left(0,1\right)\) and each natural \(n\) \[ S_n^q\left(f;x\right)\equiv S_n^q\left(f\right)\left(x\right)= E_q\left(-\left[n\right]_q{
Aral, Ali, Gupta, Vijay
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On q-Operators and Summation of Some q-Series [PDF]
International Journal of Mathematics and Mathematical Sciences, 2010 Using Jackson's q-derivative and the q-Stirling numbers, we establish some transformation theorems leading to the values of some convergent q-series.
Sana Guesmi, Ahmed Fitouhi
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Multivariable Tangent and Secant q-derivative Polynomials
, 2012 The derivative polynomials introduced by Knuth and Buckholtz in their calculations of the tangent and secant numbers are extended to a multivariable $q$--environment. The $n$-th $q$-derivatives of the classical $q$-tangent and $q$-secant are each given two polynomial expressions.
Foata, Dominique, Han, Guo-Niu
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Subclasses of Analytic Functions with Negative Coefficients Involving q-Derivative Operator [PDF]
Science and Technology Indonesia, 2022 LetAdenote the class of functionsfwhich are analytic in the open unit diskU. The subclass ofAconsisting of univalent functionsis denoted byM.
Andy Liew Pik Hern +2 more
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Certain Subclasses of β-Uniformly q-Starlike and β-Uniformly q-Convex Functions
Journal of Function Spaces, 2020 In this paper, the authors introduced certain subclasses β-uniformly q-starlike and β-uniformly q-convex functions of order α involving the q-derivative operator defined in the open unit disc. Coefficient bounds were also investigated.
Eman S. A. AbuJarad +3 more
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A Unified Representation of q- and h-Integrals and Consequences in Inequalities
AxiomsThis paper aims to unify q-derivative/q-integrals and h-derivative/h-integrals into a single definition, called q−h-derivative/q−h-integral. These notions are further extended on the finite interval [a,b] in the form of left and right q−h-derivatives and
Da Shi +4 more
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On q-Mocanu Type Functions Associated with q-Ruscheweyh Derivative Operator [PDF]
International Journal of Analysis and Applications, 2020 In this paper, we introduce certain subclasses of analytic functions defined by using the q-difference operator. Mainly we give several inclusion results for defined classes.
Khalida Inayat Noor, Shujaat Ali Shah
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