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Rahman, Mizan. A Generalization of Gasper's Kernel for Hahn Polynomials: Application to Pollaczek Polynomials. Canadian journal of mathematics, Tome 30 (1978) no. 1, pp. 133-146. doi: 10.4153/CJM-1978-011-7
@article{10_4153_CJM_1978_011_7,
author = {Rahman, Mizan},
title = {A {Generalization} of {Gasper's} {Kernel} for {Hahn} {Polynomials:} {Application} to {Pollaczek} {Polynomials}},
journal = {Canadian journal of mathematics},
pages = {133--146},
year = {1978},
volume = {30},
number = {1},
doi = {10.4153/CJM-1978-011-7},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CJM-1978-011-7/}
}
TY - JOUR AU - Rahman, Mizan TI - A Generalization of Gasper's Kernel for Hahn Polynomials: Application to Pollaczek Polynomials JO - Canadian journal of mathematics PY - 1978 SP - 133 EP - 146 VL - 30 IS - 1 UR - http://geodesic.mathdoc.fr/articles/10.4153/CJM-1978-011-7/ DO - 10.4153/CJM-1978-011-7 ID - 10_4153_CJM_1978_011_7 ER -
%0 Journal Article %A Rahman, Mizan %T A Generalization of Gasper's Kernel for Hahn Polynomials: Application to Pollaczek Polynomials %J Canadian journal of mathematics %D 1978 %P 133-146 %V 30 %N 1 %U http://geodesic.mathdoc.fr/articles/10.4153/CJM-1978-011-7/ %R 10.4153/CJM-1978-011-7 %F 10_4153_CJM_1978_011_7
[1] 1. Askey, R., Orthogonal polynomials and special functions, Vol. 21, SIAM series of Regional Conference Lectures (1974). Google Scholar
[2] 2. Bailey, W. N., Generalized hyper geometric series (Stechert-Hafner Serivce Agency, Inc., New York, 1964). Google Scholar
[3] 3. Erdélyi, A., Magnus, W., Oberhettinger, F., Tricomi, F. H. eds., Higher transcendental junctions, Bateman Manuscript Project, Vol. I (McGraw-Hill, 1953). Google Scholar
[4] 4. A., Erdélyi, Magnus, W., Higher transcendental junctions, Bateman Manuscript Project, Vol. II (McGraw- Hill, 1953). Google Scholar
[5] 5. Fields, J. L. and Ismail, M. E. H., Polynomial expansions, Mathematics of Computation 20 (1975), 894–902. Google Scholar
[6] 6. Gasper, G., Nonnegativity of a discrete Poisson kernel for the Hahn polynomials, J. Math. Anal. Appl. 42 (1973), 438–451. Google Scholar
[7] 7. Gasper, G., Positivity and special functions, in Theory and application of special functions, ed. Askey, Richard A. (Academic Press, 1975). Google Scholar
[8] 8. Karlin, S. and McGregor, J., The Hahn polynomials, formulas and an application, Scripta Math. 26 (1961), 33–46. Google Scholar
[9] 9. Mathews, J. and Walker, R. L., Mathematical methods of physics, 2nd edn. (W. A. Benjamin, Inc., New York, 1970). Google Scholar
[10] 10. Mizan, Rahman, On a generalization of the Poisson kernel for Jacobi polynomials, SIAM J. Math. Anal., to appear. Google Scholar
[11] 11. Slater, L. J., Generalized hyper geometric functions (Cambridge University Press, 1966). Google Scholar
[12] 12. Srivastava, H. M., Infinite series of certain products involving AppelVs double hyper geometric functions, Glasnik Mat. 4 (24) (1969), 67–73. Google Scholar
[13] 13. Szego, G., Orthogonal polynomials, American Mathematical Society Colloquium publications, Vol. XXIII, 4th edn. (1975). Google Scholar
[14] 14. Verma, A., Some transformations of series with arbitrary terms, 1st Lombardo Accad. Sci. Lett. Rend. A 106 (1972), 342–353. Google Scholar
[15] 15. Zemanian, A. H., Distribution theory and transform analysis (McGraw-Hill Book Company, 1965). Google Scholar
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