Results 41 to 50 of about 13,043 (276)

q-Calculus Revisited

, 2021
In this study, a new representation is obtained for \emph{q}-calculus, as proposed by Borges [Phyica A 340 (2004) 95], and a new dual \emph{q}-integral is suggested.
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Multiplicative Laplace transform in q−calculus

Filomat, 2023
In this study, we introduce q*-(or q-multiplicative) Laplace transform by means of q*-integral. Some properties of q*-Laplace transform are presented. Also, q*-Laplace transform can be utilized for solving q*-linear differential equations.
Mehmet Yilmazer, Emrah Yilmaz, Sertac Goktas, Mikail Et   +3 more
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Specific Classes of Analytic Functions Communicated with a Q-Differential Operator Including a Generalized Hypergeometic Function

Fractal and Fractional, 2022
A special function is a function that is typically entitled after an early scientist who studied its features and has a specific application in mathematical physics or another area of mathematics.
Najla M. Alarifi, Rabha W. Ibrahim
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Generalized $ q $-convex functions characterized by $ q $-calculus

AIMS Mathematics, 2023
<abstract><p>The objective of the current examination is to present new sub-classes of $ q $-convex and $ q $-starlike functions inside $ \mathcal E = \left\{z\in\mathbb C: \left|z\right| &lt; 1\right\} $, by $ q $-difference operator.
Aisha M. Alqahtani, Rashid Murtaza, Saba Akmal, Adnan Abbasi, Ilyas Khan   +4 more
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Relativistic DNLS and Kaup-Newell Hierarchy [PDF]

, 2017
By the recursion operator of the Kaup-Newell hierarchy we construct the relativistic derivative NLS (RDNLS) equation and the corresponding Lax pair.
Lee, Jyh Hao, Pashaev, Oktay, Pashaev, Oktay   +2 more
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Saigo fractional q-integral involving the generalized q-hypergeometric series and a general class of q-polynomials

Arab Journal of Basic and Applied Sciences, 2023
The fractional q-calculus has attracted the interest of a large number of academics over the last four decades or so, due mainly to a wide range of applications that cover natural sciences to social sciences.
Biniyam Shimelis, D. L. Suthar
doaj   +1 more source

On Quantum Differential Subordination Related with Certain Family of Analytic Functions

Journal of Mathematics, 2020
Recently, there is a rapid increase of research in the area of Quantum calculus (known as q-calculus) due to its widespread applications in many areas of study, such as geometric functions theory.
Afis Saliu, Khalida Inayat Noor, Saqib Hussain, Maslina Darus   +3 more
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Variational q-calculus

Journal of Mathematical Analysis and Applications, 2004
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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A note on the values of the weighted q-Bernstein polynomials and modified q-Genocchi numbers with weight alpha and beta via the p-adic q-integral on Zp [PDF]

, 2012
The rapid development of q-calculus has led to the discovery of new generalizations of Bernstein polynomials and Genocchi polynomials involving q-integers.
DS Kim, HM Srivastava, HM Srivastava, IN Cangul, M Acikgoz, Mehmet Açikgöz, S Araci, S Araci, S Araci, S Araci, S Araci, S Araci, S-H Rim, Serkan Araci, T Kim, T Kim, T Kim, T Kim, T Kim, T Kim, T Kim, T Kim, T Kim, T Kim, Y Simsek, Y Simsek   +25 more
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Fisher information, Borges operators, and q-calculus

Physica A: Statistical Mechanics and its Applications, 2008
Abstract We discuss applying the increasingly popular q -calculus, or deformed calculus, so as to suitably generalize Fisher’s information measure and the Cramer–Rao inequality. A q -deformation can be attained in multiple ways, and we show that most of them do not constitute legitimate procedures. Within such a context, the only completely
Pennini, F., Plastino, A., Ferri, G. L.
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