Estimates and properties of certain \(q\)-Mellin transform on generalized \(q\)-calculus theory

DOI10.1186/s13662-021-03391-zzbMath1495.44007OpenAlexW3165525681MaRDI QIDQ2166962

Shrideh K. Q. Al-Omari

Publication date: 25 August 2022

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13662-021-03391-z

zbMATH Keywords

\(q\)-calculus\(q\)-convolution\(q\)-Boehmian\(q\)-delta sequences\(q\)-Mellin

Mathematics Subject Classification ID

Special integral transforms (Legendre, Hilbert, etc.) (44A15) Classical operational calculus (44A45)

Related Items (1)

A fractional \(q\)-integral operator associated with a certain class of \(q\)-Bessel functions and \(q\)-generating series

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Applications of the Mellin transform in quantum calculus
• Boehmians and generalized functions
• Some results for Laplace-type integral operator in quantum calculus
• Periodic Boehmians
• A note on \(q\)-Fubini-Appell polynomials and related properties
• \(q\)-analogues and properties of the Laplace-type integral operator in the quantum calculus theory
• On weighted \(q\)-Daehee polynomials with their applications
• On a class of generalized Meijer-Laplace transforms of Fox function type kernels and their extension to a class of Boehmians
• On point values of Boehmians
• The \(q\)-Sumudu transform and its certain properties in a generalized \(q\)-calculus theory
• Onq-Laplace type integral operators and their applications
• The Support of Mikusinski Operators
• Wavelet Transforms in Quantum Calculus
• The $q$-analogue of the $E_{2;1}$-transform and its applications
• An application of q-Sumudu transform for fractional q-kinetic equation
• On flexibility of boehmians
• On q-analogues of the natural transform of certain q-Bessel functions and some application
• On q-Sumudu transforms of certain q-polynomials
• The distribution solutions of ordinary differential equation with polynomial coefficients

This page was built for publication: Estimates and properties of certain \(q\)-Mellin transform on generalized \(q\)-calculus theory