Stochastic processes and special functions: On the probabilistic origin of some positive kernels associate with classical orthogonal polynomials
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Publication:1256814
DOI10.1016/0022-247X(77)90160-3zbMath0404.60097MaRDI QIDQ1256814
Mizan Rahman, R. D. Cooper, Michael R. Hoare
Publication date: 1977
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Continuous-time Markov processes on general state spaces (60J25) Probability distributions: general theory (60E05) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45)
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Cites Work
- Fractional calculus and its applications. Proceedings of the international conference held at the University of New Haven, June 1974
- Projection formulas for orthogonal polynomials of a discrete variable
- Lie theory and special functions
- Banach algebras for Jacobi series and positivity of a kernel
- Nonnegativity of a discrete Poisson kernel for the Hahn polynomials
- Erzeugende Funktionen der Charlierschen Polynome
- Construction of a Family of Positive Kernels from Jacobi Polynomials
- A Five-Parameter Family of Positive Kernels from Jacobi Polynomials
- Some Positive Kernels and Bilinear Sums for Hahn Polynomials
- On a Generalization of the Poisson Kernel for Jacobi Polynomials
- Random Walk and the Theory of Brownian Motion
- Factorization Ladders and Eigenfunctions
- The Factorization Method
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