Appell hypergeometric series

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• Clingher, Adrian, Charles F. Doran, and Andreas Malmendier. “Special Function Identities from Superelliptic Kummer Varieties.” arXiv:1510.06435 [math], October 21, 2015. http://arxiv.org/abs/1510.06435.
• Bringmann, Kathrin, Jan Manschot, and Larry Rolen. “Identities for Generalized Appell Functions and the Blow-up Formula.” arXiv:1510.00630 [math], October 2, 2015. http://arxiv.org/abs/1510.00630.
• Matsumoto, Keiji, Takeshi Sasaki, Tomohide Terasoma, and Masaaki Yoshida. ‘An Example of Schwarz Map of Reducible Hypergeometric Equation \(E_2\) in Two Variables’. arXiv:1503.07623 [math], 26 March 2015. http://arxiv.org/abs/1503.07623.

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말뭉치

1. In this paper we present a finite field analogue for one of the Appell series.
2. Recently, finite field alanogues of Appell series F1, F2 and F3 are introduced and their relations with certain Gaussian hypergeometric series are established.
3. We then establish finite field analogues of classical identities satisfied by the Appell series and hypergeometric series.
4. We use properties of Gauss and Jacobi sums and our works on finite field Appell series to deduce these product formulas satisfied by the Gaussian hypergeometric series.
5. In this paper we give a finite field analogue of Appell series and obtain some transformation and reduction formulas.
6. We also establish the generating functions for Appell series over finite fields.
7. A FINITE FIELD ANALOGUE FOR APPELL SERIES F3 BING HE Abstract.
8. In this paper we introduce a nite eld analogue for the Appell series F3 and give some reduction formulae and certain generating functions for this function over nite elds.
9. Appell series F3 over nite elds, reduction formula, transformation formula, generating function.
10. In that paper, the nite eld analogue of the Appell series F1 was given by F1(A; B, B(cid:48); C; x, y) = (xy)AC(1) (cid:88) u A(u)AC(1 u)B(1 ux)B(cid:48)(1 uy).
11. The Appell series F2 is a hypergeometric series in two vari- ables that was introduced by Paul Appell in 1880 as generalization of Gauss hy- pergeometric series 2F1 of one variable.
12. In 1933 Bailey derived a reduction formula for the Appell series F4 as product of two Gauss hypergeometric functions.

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위키데이터

• ID : Q4780998

Spacy 패턴 목록

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• [{'LOWER': 'appell'}, {'LOWER': 'hypergeometric'}, {'LEMMA': 'series'}]
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