A note on moment integrals and some applications
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Publication:2260425
DOI10.1016/j.jmaa.2013.08.032zbMath1307.33008OpenAlexW2072301137MaRDI QIDQ2260425
Publication date: 10 March 2015
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2013.08.032
generating functionsmoment integralKalnins-Miller transformationRogers-Szegő polynomialSears's transformation
Related Items (7)
\(q\)-difference equations for Askey-Wilson type integrals via \(q\)-polynomials ⋮ A note on q-difference equations for Cigler’s polynomials ⋮ Generalized \(q\)-difference equations for \((q, c)\)-hypergeometric polynomials and some applications ⋮ Homogeneous \(q\)-partial difference equations and some applications ⋮ A note on certain modular equations about infinite products of Ramanujan ⋮ q-Difference equations for the generalized Cigler’s polynomials ⋮ Some new generating functions for \(q\)-Hahn polynomials
Cites Work
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- On Carlitz's trilinear generating functions
- Notes on Carlitz's \(q\)-operators
- Bivariate generating functions for Rogers-Szegö polynomials
- Towards a \(q\)-analogue of the Kibble-Slepian formula in 3 dimensions
- Operator identities and several \(U(n+1)\) generalizations of the Kalnins--Miller transformations
- Poisson kernel and multilinear generating functions of some orthogonal polynomials
- New proofs of generating functions for Rogers-Szegö polynomials
- A queueing model and a set of orthogonal polynomials
- q-beta integrals and the q-Hermite polynomials
- Some multilinear generating functions for q-Hermite polynomials
- Ramanujan's ``lost notebook. I: Partial Theta-functions
- Balanced \(_ 3\phi_ 2\) summation theorems for \(U(n)\) basic hypergeometric series
- Some operator identities and \(q\)-series transformation formulas
- Generating functions for certain q-orthogonal polynomials
- \(q\)-difference equation and the Cauchy operator identities
- Twoq-difference equations andq-operator identities
- An extension of the non-terminating6φ5summation and the Askey–Wilson polynomials
- q-Integral and Moment Representations for q-Orthogonal Polynomials
- Some basic hypergeometric orthogonal polynomials that generalize Jacobi polynomials
- On the Askey-Wilson and Rogers Polynomials
- q-Series and Orthogonal Polynomials Associated with Barnes’ First Lemma
- Classical Orthogonal Polynomials as Moments
- q-Hermite Polynomials and Classical Orthogonal Polynomials
- Some Orthogonal q‐Polynomials
- Some polynomials related to theta functions
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