Results 31 to 40 of about 1,838,482 (246)
Can Umbral and q-calculus be merged? [PDF]
, 2019 The q-calculus is reformulated in terms of the umbral calculus and of the associated operational formalism. We show that new and interesting elements emerge from such a restyling. The proposed technique is applied to a different formulations of q special
G. Dattoli +3 more
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Fractional (p,q)-Calculus on Finite Intervals and Some Integral Inequalities
, 2021 Fractional q-calculus has been investigated and applied in a variety of fields in mathematical areas including fractional q-integral inequalities. In this paper, we study fractional (p,q)-calculus on finite intervals and give some basic properties.
Jessada Tariboon +3 more
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Applications of q-calculus in operator theory
, 2013 The approximation of functions by linear positive operators is an important research topic in general mathematics and it also provides powerful tools to application areas such as computer-aided geometric design, numerical analysis, and solutions of ...
Gupta V., Aral A., Agarwal R.P.
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On fractional (p,q) $(p,q)$-calculus
Advances in Difference Equations, 2020 In this paper, the new concepts of (p,q) $(p,q)$-difference operators are introduced. The properties of fractional (p,q) $(p,q)$-calculus in the sense of a (p,q) $(p,q)$-difference operator are introduced and developed.
Jarunee Soontharanon +1 more
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Mathematics, 2023 As a powerful tool for models of quantum computing, q-calculus has drawn the attention of many researchers in the discipline of special functions. In this paper, we present new properties and characterize q-Bessel functions of the first kind using some ...
Mohammed Fadel, Nusrat Raza, Wei-Shih Du
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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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A STUDY ON SOME NEW RESULTS ARISING FROM (p, q)-CALCULUS
, 2020 This paper includes some new investigations and results for post quantum calculus, denoted by (p, q)-calculus. A chain rule for (p, q)-derivative is given. Also, a new (p, q)-analogue of the exponential function is introduced and its properties including
Araci, Serkan +3 more
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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 +3 more
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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
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Kneser\u27s Theorem in Q-calculus
, 2005 While difference equations deal with discrete calculus and differential equations with continuous calculus, so-called q-difference equations are considered when studying q-calculus. In this paper, we obtain certain oscillation criteria for second-order q-
Bohner, Martin +2 more
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