Certain results related to the \(N\)-transform of a certain class of functions and differential operators

DOI10.1186/S13662-017-1457-YzbMath1445.33024OpenAlexW2782978509MaRDI QIDQ1711136

Shrideh K. Q. Al-Omari

Publication date: 17 January 2019

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

Full work available at URL: https://doi.org/10.1186/s13662-017-1457-y

zbMATH Keywords

Heaviside function\(q\)-convolution product\(q\)-differential operator\(q\)-hyperbolic function\(q\)-natural transform\(q\)-trigonometric function

Mathematics Subject Classification ID

(q)-calculus and related topics (05A30) Binomial coefficients; factorials; (q)-identities (11B65) Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15) (q)-gamma functions, (q)-beta functions and integrals (33D05)

Related Items (4)

Certain fundamental properties of generalized natural transform in generalized spaces ⋮ A fractional \(q\)-integral operator associated with a certain class of \(q\)-Bessel functions and \(q\)-generating series ⋮ On the quantum theory of the natural transform and some applications ⋮ \(q\)-analogues and properties of the Laplace-type integral operator in the quantum calculus theory

Cites Work

• Applications of the Mellin transform in quantum calculus
• On \(q\)-Laplace transforms of certain \(q\)-hypergeometric polynomials
• Onq-Laplace type integral operators and their applications
• Wavelet Transforms in Quantum Calculus
• The $q$-analogue of the $E_{2;1}$-transform and its applications
• On q-Sumudu transforms of certain q-polynomials
• Beiträge zur Theorie der Heineschen Reihen. Die 24 Integrale der hypergeometrischen q‐Differenzengleichung. Das q‐Analogon der Laplace‐Transformation
• Quantum calculus
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Certain results related to the \(N\)-transform of a certain class of functions and differential operators