On \(q\)-definite integrals.

zbMath41.0317.04MaRDI QIDQ1486252

F. H. Jackson

Publication date: 1910

Published in: The Quarterly Journal of Pure and Applied Mathematics (Search for Journal in Brave)

Related Items (35)

Linear transform that preserve real roots of polynomials ⋮ Some properties for spirallike functions involving generalized \(q\)-integral operator ⋮ On an \(m\)-dimensional system of quantum inclusions by a new computational approach and heatmap ⋮ Inequalities for the \(m\)-th derivative of the \((q, k)\)-gamma function ⋮ New quantum integral inequalities for left and right log-\(\hbar\)-convex interval-valued functions ⋮ On subclasses of analytic functions involving \(q\)-derivative operator with negative coefficients ⋮ \(q\)-analog of prestarlike functions ⋮ Existence property of solutions for multi-order \(q\)-difference FBVPs based on condensing operators and end-point technique ⋮ Indefinite \(q\)-integrals from a method using \(q\)-Riccati equations ⋮ Initial coefficient estimates for subclasses of bi-univalent functionsinvolving \(q\)-derivative operator ⋮ A note on \(q\)-truncated exponential polynomials ⋮ Generalization of quantum calculus and corresponding Hermite-Hadamard inequalities ⋮ New trends in geometric function theory ⋮ Szász-type operators involving \(q\)-Appell polynomials ⋮ Upper bound for the second and third Hankel determinants of analytic functions associated with the error function and \(q\)-convolution combination ⋮ Upper and lower solutions for an integral boundary problem with two different orders \((p, q)\)-fractional difference ⋮ On \(q^2\)-analogue of the one-dimensional non-homogeneous heat equation ⋮ A Cauchy problem for \(q\)-heat equation ⋮ Coefficient bounds for \(q\)-starlike functions associated with \(q\)-Bernoulli numbers ⋮ A certain subclass of bi-univalent functions associated with Chebyshev polynomials ⋮ Third-order Hankel determinants for q -analogue analytic functions defined by a modified q -Bernardi integral operator ⋮ Generalised subclasses of meromorphically \(q\)-starlike function using the Janowski functions ⋮ On the rate of convergence for the \(q\)-Durrmeyer polynomials in complex domains ⋮ Certain advancements in multidimensional \(q\)-Hermite polynomials ⋮ On some generalized Simpson type inequalities for \((\alpha,m)\)-coordinated convex functions in context of \(q_1 q_2\)-calculus ⋮ Second main theorems of Jackson difference operator for holomorphic curves with slowly moving targets ⋮ Majorizations for subclasses of analytic functions connected with the \(Q\)-difference operator ⋮ Quantum Simpson like type inequalities for \(q\)-differentiable convex functions ⋮ Applications of the \(q\)-Wanas operator for a certain family of bi-univalent functions defined by subordination ⋮ Local Price uncertainty principle and time-frequency localization operators for the \(q\)-Hankel-Stockwell transform ⋮ Certain results on a class of analytic functions involving \(q\)-hypergeometric series ⋮ The Fekete-Szegö inequality for a subfamily of \(q\)-analogue analytic functions associated with the modified \(q\)-Opoola operator ⋮ Analysis of a certain pseudo \(q\)-calculus and its applications in integral inequalities ⋮ Quantum analogue of Hermite-Hadamard type inequalities for strongly convex functions ⋮ The saturation of convergence for the complex \(q\)-Durrmeyer polynomials

This page was built for publication: On \(q\)-definite integrals.