Results 31 to 40 of about 47,854 (237)
Certain Class of Analytic Functions Connected with q-Analogue of the Bessel Function
Journal of Mathematics, 2021 The focus of this article is the introduction of a new subclass of analytic functions involving q-analogue of the Bessel function and obtained coefficient inequities, growth and distortion properties, radii of close-to-convexity, and starlikeness, as ...
Nazek Alessa +5 more
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Generalized q-Bessel function and its properties [PDF]
Advances in Difference Equations, 2013 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Inclusion Relations for Dini Functions Involving Certain Conic Domains
Fractal and Fractional, 2022 In recent years, special functions such as Bessel functions have been widely used in many areas of mathematics and physics. We are essentially motivated by the recent development; in our present investigation, we make use of certain conic domains and ...
Bilal Khan +5 more
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The solution of certain triple q-integral equations in fractional q-calculus approach
Arab Journal of Mathematical Sciences, 2019 In this paper, we consider a certain system of triple q-integral equations, where the kernel is the third Jackson q-Bessel functions. We give two solutions by using the fractional q-calculus approach. We study also the system with general kernel.
M.A. AL-Towailb
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Journal of Inequalities and Applications, 2022 The objective of this article is to incorporate the concept of the Ostrowski inequality with the Atangana–Baleanu fractional integral operator. A novel integral identity for twice-differentiable functions is established after a rigorous investigation of ...
Soubhagya Kumar Sahoo +4 more
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The Modified q-Bessel Functions and the q-Bessel-Macdonald Functions
, 1995 We define a q-analog of the modified Bessel and Bessel-Macdonald functions. As for the q-Bessel functions of Jackson there is a couple of functions of the both kind. They are arisen in the Harmonic analysis on quantum symmetric spaces similarly to their classical counterpart. Their definition is based on the power expansions.
Olshanetsky, M. A., Rogov, V. -B. K.
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Fractal and Fractional, 2021 The goal of this article is to establish several new formulas and new results related to the Marichev-Saigo-Maeda fractional integral and fractional derivative operators which are applied on the (p,q)-extended Bessel function.
Hari M. Srivastava +4 more
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Abstract and Applied Analysis, 2020 In this paper, we introduce new subclasses of the function class Σ of bi-univalent functions connected with a q-analogue of Bessel function and defined in the open unit disc.
Sheza M. El-Deeb
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Jackson Integral Representations of Modified $q$-Bessel Functions and $q$-Bessel-Macdonald Functions
, 1996 The $q$ analog of Modified Bessel functions and Bessel-Macdonald functions, were defined in our previous work (q-alg/950913) as general solutions of a second order difference equations. Here we present a collection of their representations by the Jackson q-integral.
Olshanetsky, M. A., Rogov, V-B. K.
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Fractal and Fractional, 2023 This paper presents a novel approach by introducing a set of operators known as the left and right generalized tempered fractional integral operators.
Artion Kashuri +3 more
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