Results 171 to 180 of about 13,300 (186)

Rigidity for Appell's Hypergeometric Series F4

Funkcialaj Ekvacioj, 2008
Appell's hypergeometric series F4 defines a multi-valued function in P2C$\\backslash$L with some hypersurface L, and then defines a local system over it. We show that the local system is physically rigid. Using this fact, we get a monodromy representation of F4 without using any analytic expression such as integral expression of F4. A condition for the
Yoshishige Haraoka, Youichi Ueno
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A new analytic continuation of Appell’s hypergeometric series F2

Journal of Mathematical Physics, 1976
The doubly infinite series for Appell’s function F2(α,a1,a2,b1,b2;x,y) is written in terms of four of Appell’s F3 functions. Analytic continuations are given for the F3 series, thereby allowing one to obtain a new analytic continuation for the F2 series.
Sud, Krishan, Wright, L. E.
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Expansions in series of appell polynomials

Mathematical Notes of the Academy of Sciences of the USSR, 1969
We consider questions connected with the problem of expanding an entire function in a series of Appell polynomials {Pn(t)}, when the entire function is of growth no higher than first order and of normal type σ, under the assumption that certain functions A(t) and B(t) are regular in the disc ¦t¦
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More supercongruences for the truncated Appell series $$F_{1}$$ and $$F_{4}$$

The Ramanujan Journal
Xiaoxia Wang, Wenjie Yu
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Appellate and trial court caseload growth: A pooled time-series-cross-section analysis

Journal of Quantitative Criminology, 1987
This is an econometric study of factors behind filing growth since 1970 in state trial courts and, especially, appellate courts. The model posits two categories of variables: those affecting the supply of disputes and those affecting the costbenefit considerations of potential litigants.
Carlisle E. Moody, Thomas B. Marvell
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Some properties for Appell series F₂ over finite fields

Integral Transforms and Special Functions, 2019
ABSTRACTHe et al. [Finite Fields and Their Applications 48 (2017), 289–305] introduced a finite field analogue for the Appell series F2 and derived its transformations, reduction formulas as well a...
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NEW PROPERTIES OF THE P. E. APPELL HYPERGEOMETRIC SERIES F₂(α;β, β′;γ, γ′;x, y) TO THE VICINITY OF THE SINGULAR POINT (1, 1) AND NEAR THE BOUNDARY OF ITS DOMAIN OF CONVERGENCE D₂:|x|+|y|<1

, 2010
V. F. Tarasov
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Mock Theta-Functions of the Third Order of Ramanujan in Terms of Appell–Lerch Series

, 2018
Changgui Zhang
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On some series and index integrals involving 2$$F_1$$ and a reduction formula for the appell function $$F_1$$

I. A. Shilin, Junesang Choi
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Some new supercongruences on the truncated Appell series F3

Xiaoxia Wang, Wenjie Yu
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