Results 11 to 20 of about 12,909 (197)
Some properties of generalized hypergeometric Appell polynomials [PDF]
Karpatsʹkì Matematičnì Publìkacìï, 2020 Let $x^{(n)}$ denotes the Pochhammer symbol (rising factorial) defined by the formulas $x^{(0)}=1$ and $x^{(n)}=x(x+1)(x+2)\cdots (x+n-1)$ for $n\geq 1$.
L. Bedratyuk, N. Luno
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European Physical Journal C: Particles and Fields, 2020 Based on the method developed in Phan and Riemann (Phys Lett B 791:257, 2019), detailed analytic results for scalar one-loop two-, three-, four-point integrals in general d-dimension are presented in this paper.
Khiem Hong Phan
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Contiguous Function Relations and an Integral Representation for Appell k-Series F_(1,k) [PDF]
International Journal of Mathematical Research, 2015 The main objective of this paper is to derive contiguous function relations or recurrence relations and obtain an integral representation Appell k-series F_(1,k), where k>0.
Shahid Mubeen, Sana Iqbal, Gauhar Rahman
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Some new formulas for Appell series over finite fields
, 2017 In 1987 Greene introduced the notion of the finite field analogue of hypergeometric series. In this paper we give a finite field analogue of Appell series and obtain some transformation and reduction formulas. We also establish the generating functions for Appell series over finite fields.
Long Li, Xin Li, Rui Mao
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Transformation properties of Andrews-Beck $NT$ functions and generalized Appell-Lerch series [PDF]
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Chen Rong, Xiaojie Zhu
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Another finite field analogue for Appell series F_{1}
, 2017 In this paper we introduce another finite field analogue for Appell series F_{1} and obtain certain reduction formulae and a generating function for this analogue.
Bing He
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A finite field analogue of the Appell series $$F_4$$ F 4
Research in Number Theory, 2018 We define a function $F_4^{\ast}$ as a finite field analogue of the classical Appell series $F_4$ using Gauss sums. We establish identities for $F_4^{\ast}$ analogous to those satisfied by the classical Appell series $F_4$.
Mohit Tripathi, Rupam Barman
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Summations and Transformations for Basic Appell Series [PDF]
Journal of the London Mathematical Society, 1972 George E. Andrews
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Appell sequences, continuous wavelet transforms and series expansions
Applied and Computational Harmonic Analysis, 2016 Abstract A series expansion with remainder for functions in a Sobolev space is derived in terms of the classical Bernoulli polynomials, the B -spline scale-space and the continuous wavelet transforms with the derivatives of the standardized B -splines as mother wavelets.
Say Song Goh, Tim N.T. Goodman, S.L. Lee
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