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Cooper, R.D, Hoare, M.R, Rahman, Mizan (1977) Stochastic processes and special functions: On the probabilistic origin of some positive kernels associated with classical orthogonal polynomials. Journal of Mathematical Analysis and Applications, 61. 262-291 doi:10.1016/0022-247x(77)90160-3

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Reference TypeJournal (article/letter/editorial)
TitleStochastic processes and special functions: On the probabilistic origin of some positive kernels associated with classical orthogonal polynomials
JournalJournal of Mathematical Analysis and Applications
AuthorsCooper, R.DAuthor
Hoare, M.RAuthor
Rahman, MizanAuthor
Year1977 (November)Volume61
PublisherElsevier BV
DOIdoi:10.1016/0022-247x(77)90160-3Search in ResearchGate
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Mindat Ref. ID12376802Long-form Identifiermindat:1:5:12376802:7
GUID0
Full ReferenceCooper, R.D, Hoare, M.R, Rahman, Mizan (1977) Stochastic processes and special functions: On the probabilistic origin of some positive kernels associated with classical orthogonal polynomials. Journal of Mathematical Analysis and Applications, 61. 262-291 doi:10.1016/0022-247x(77)90160-3
Plain TextCooper, R.D, Hoare, M.R, Rahman, Mizan (1977) Stochastic processes and special functions: On the probabilistic origin of some positive kernels associated with classical orthogonal polynomials. Journal of Mathematical Analysis and Applications, 61. 262-291 doi:10.1016/0022-247x(77)90160-3
In(n.d.) Journal of Mathematical Analysis and Applications Vol. 61. Elsevier BV

See Also

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Hoare, M.R, Rahman, Mizan (1988) Cumulative hypergeometric processes: A statistical role for the nFn − 1 functions. Journal of Mathematical Analysis and Applications, 135. 615-626 doi:10.1016/0022-247x(88)90176-x
Gasper, George, Rahman, Mizan (1983) Nonnegative kernels in product formulas for q-Racah polynomials. I. Journal of Mathematical Analysis and Applications, 95. 304-318 doi:10.1016/0022-247x(83)90109-9
van Doorn, Erik A (1986) On orthogonal polynomials with positive zeros and the associated kernel polynomials. Journal of Mathematical Analysis and Applications, 113. 441-450 doi:10.1016/0022-247x(86)90315-x
Grünbaum, F.Alberto (1983) A new property of reproducing kernels for classical orthogonal polynomials. Journal of Mathematical Analysis and Applications, 95. 491-500 doi:10.1016/0022-247x(83)90123-3
Ismail, Mourad E.H (1977) Connection relations and bilinear formulas for the classical orthogonal polynomials. Journal of Mathematical Analysis and Applications, 57. 487-496 doi:10.1016/0022-247x(77)90241-4
Londen, Stig-Olof (1980) L2-Solutions of some integral equations with positive definite kernels. Journal of Mathematical Analysis and Applications, 78. 455-465 doi:10.1016/0022-247x(80)90160-2
Rahman, Mizan (1987) An integral representation and some transformation properties of q-Bessel functions. Journal of Mathematical Analysis and Applications, 125. 58-71 doi:10.1016/0022-247x(87)90164-8
Rahman, Mizan (1986) A product formula for the continuous q-Jacobi polynomials. Journal of Mathematical Analysis and Applications, 118. 309-322 doi:10.1016/0022-247x(86)90265-9
Lee, Alan J (1977) Continuous path approximations to measurable stochastic processes. Journal of Mathematical Analysis and Applications, 61. 1-6 doi:10.1016/0022-247x(77)90140-8
Dunkl, Charles F (1989) Poisson and Cauchy kernels for orthogonal polynomials with dihedral symmetry. Journal of Mathematical Analysis and Applications, 143. 459-470 doi:10.1016/0022-247x(89)90052-8
Ismail, Mourad E.H (1982) The zeros of basic Bessel functions, the functions Jv + ax(x), and associated orthogonal polynomials. Journal of Mathematical Analysis and Applications, 86. 1-19 doi:10.1016/0022-247x(82)90248-7
 
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