Airy functions and Riesz fractional trigonometric operators

DOI10.1080/10652469.2018.1472593zbMath1393.33005OpenAlexW2806137992MaRDI QIDQ3177595

Alireza Ansari, Hassan Randjbar Askari

Publication date: 1 August 2018

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10652469.2018.1472593

zbMATH Keywords

Mellin transformsOstrovsky equationAiry functionsaddition formulaRiesz fractional derivatives

Mathematics Subject Classification ID

Integral transforms of special functions (44A20) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10)

Related Items (6)

Some integral representations for the Faxén function ⋮ Fractional Ostrovsky Equation ⋮ Logarithmic functions are eigenfunctions of integral operators with \(M\)-Wright kernels ⋮ Macdonald's identities and integral representations of products of Airy functions ⋮ On Mellin transforms of solutions of differential equation \(\chi^{(n)}(x)+\gamma_nx\chi (x)=0\) ⋮ Green's function of two-dimensional time-fractional diffusion equation using addition formula of Wright function

Cites Work

• Asymptotic expansions for Riesz fractional derivatives of Airy functions and applications
• Semi-integer derivatives of the Airy functions and related properties of the Korteweg-de Vries-type equations
• Differential and integral relations involving fractional derivatives of Airy functions and applications
• Integrals involving products of Airy functions, their derivatives and Bessel functions
• Integral representations for products of Airy functions. II: Cubic products
• Integral representations for products of Airy functions. III: Quartic products
• On fractional calculus of \(\mathcal A_{2n+1}(x)\) function
• Integral representations for products of Airy functions
• Fractional derivatives of products of Airy functions
• Oscillatory integrals generated by the Ostrovsky equation
• Riesz fractional derivatives of solutions of differential equation y⁽⁴⁾ + xy = 0
• Integral addition formulae for airy function
• Integral representations of products of airy functions related to fractional calculus
• Some results involving integral transforms of Airy functions
• Composite Approximations to the Solutions of the Orr‐Sommerfeld Equation
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Airy functions and Riesz fractional trigonometric operators