Results 31 to 40 of about 12,909 (197)
Derivatives of Horn-type hypergeometric functions with respect to their parameters [PDF]
, 2017 We consider the derivatives of Horn hypergeometric functions of any number variables with respect to their parameters. The derivative of the function in $n$ variables is expressed as a Horn hypergeometric series of $n+1$ infinite summations depending on ...
Bytev, V., Kniehl, B., Moch, S.
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Analysis of Verdicchio harvest data in Matelica appellation area during the 1989-2016 time series [PDF]
BIO Web of Conferences, 2022 The knowledge of the climatological trend of an area and its influences on grapevine growth is a helpful tool for the prediction of the ripening process: climate change effects on viticulture can be thus studied. In a first step, the climate of the Matelica area, central Italy, was characterized, then Verdicchio grapevines harvest data and its ...
Pallotti Luca +6 more
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A note on totally regular variables and Appell sequences in hypercomplex function theory [PDF]
, 2013 Series title : Lecture notes in computer science, vol. 7971, ISSN 0302-9743The aim of our contribution is to call attention to the relationship between totally regular variables, introduced by R. Delanghe in 1970, and Appell sequences with respect to the
F. Brackx +10 more
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A (p, ν)-extension of the Appell function F1(·) and its properties [PDF]
, 2019 In this paper, we obtain a (p, v)-extension of the Appell hypergeometric functionF1(·), together with its integral representation, by using the extended Beta functionBp,v(x, y) introduced in [9].
Dar, S. A., Paris, R. B.
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Exploring the strong-coupling region of SU(N) Seiberg-Witten theory
Journal of High Energy Physics, 2022 We consider the Seiberg-Witten solution of pure N $$ \mathcal{N} $$ = 2 gauge theory in four dimensions, with gauge group SU(N). A simple exact series expansion for the dependence of the 2(N − 1) Seiberg-Witten periods a I (u), a DI (u) on the N − 1 ...
Eric D’Hoker +2 more
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MathematicsIn this paper, by using the zeroth-order q-Tricomi functions, the theory of three-variable q-Legendre-based Appell polynomials is introduced.
Naeem Ahmad, Waseem Ahmad Khan
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On the dual nature of partial theta functions and Appell-Lerch sums
, 2014 In recent work, Hickerson and the author demonstrated that it is useful to think of Appell--Lerch sums as partial theta functions. This notion can be used to relate identities involving partial theta functions with identities involving Appell--Lerch sums.
Andrews +28 more
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Appell polynomials and their relatives [PDF]
, 2004 This paper summarizes some known results about Appell polynomials and investigates their various analogs. The primary of these are the free Appell polynomials.
Anshelevich, Michael
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A New Family of Appell-Type Changhee Polynomials with Geometric Applications
AxiomsRecently, Appell-type polynomials have been investigated and applied in several ways. In this paper, we consider a new extension of Appell-type Changhee polynomials.
Rashad A. Al-Jawfi +2 more
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Identities for generalized Appell functions and the blow-up formula
, 2015 In this paper, we prove identities for a class of generalized Appell functions which are based on the $\operatorname{A}_2$ root lattice. The identities are reminiscent of periodicity relations for the classical Appell function, and are proven using only ...
Bringmann, Kathrin +2 more
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