A q-Extension of Feldheim's Bilinear Sum for Jacobi Polynomials and Some Applications
1985 ◽
Vol 37
(3)
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pp. 551-576
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The main objective of this paper is to find useful q-extensions of Feldheim's [6] bilinear formula for Jacobi polynomials, namely,1.1where the Appel function F4 is defined by1.2α1, α2, ρ are arbitrary complex parameters such that the series on both sides of (1.1) are convergent, and1.3is the Jacobi polynomial of degree k, (a)k being the usual shifted factorial.
1953 ◽
Vol 5
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pp. 301-305
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1970 ◽
Vol 22
(3)
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pp. 582-593
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1968 ◽
Vol 16
(2)
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pp. 101-108
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1969 ◽
Vol 66
(1)
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pp. 105-107
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1971 ◽
Vol 70
(2)
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pp. 243-255
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1968 ◽
Vol 64
(3)
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pp. 687-690
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1968 ◽
Vol 64
(3)
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pp. 695-698
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1994 ◽
Vol 46
(06)
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pp. 1318-1337
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1967 ◽
Vol 63
(2)
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pp. 457-459
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1963 ◽
Vol 59
(2)
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pp. 363-371
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