Some families of generating functions for the multiple orthogonal polynomials associated with modified Bessel \(K\)-functions
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Publication:1883083
DOI10.1016/j.jmaa.2004.04.054zbMath1057.33006OpenAlexW2019302446MaRDI QIDQ1883083
Abduhllah Altin, Mehmet Ali Özarslan
Publication date: 1 October 2004
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.2004.04.054
Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10)
Related Items (8)
Some Results on the Bivariate Laguerre Polynomials ⋮ On a multivariable extension of Jacobi matrix polynomials ⋮ New families of generating functions for certain class of three-variable polynomials ⋮ Some families of generating functions for the extended Srivastava polynomials ⋮ On a singular integral equation including a set of multivariate polynomials suggested by Laguerre polynomials ⋮ Some families of generating functions for a class of bivariate polynomials ⋮ Some families of generating functions for a certain class of three-variable polynomials ⋮ Families of linear generating functions for polynomials in two variables
Cites Work
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- Bessel polynomials
- A note on certain generating functions for the generalized Bessel polynomials
- Some families of generating functions for the Bessel polynomials
- Certain classes of finite-series relationships and generating functions involving the generalized Bessel polynomials.
- On two-orthogonal polynomials related to the Bateman's \(J_n^{u,v}\)-function
- Multiple orthogonal polynomials associated with macdonald functions
- Some properties of multiple orthogonal polynomials associated with Macdonald functions
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