Results 11 to 20 of about 13,300 (186)
A GENERALISATION OF A SUPERCONGRUENCE ON THE TRUNCATED APPELL SERIES
Bulletin of the Australian Mathematical Society, 2022 AbstractRecently, Lin and Liu [‘Congruences for the truncated Appell series $F_3$ and $F_4$ ’, Integral Transforms Spec. Funct.31(1) (2020), 10–17] confirmed a supercongruence on the truncated Appell series $F_3$ . Motivated by their work, we give a generalisation of this supercongruence by establishing a q-supercongruence modulo the fourth power ...
Xiaoxia Wang, Menglin Yu
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Some new formulas for Appell series over finite fields [PDF]
, 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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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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An Appell series over finite fields
Finite Fields and Their Applications, 2017 In this paper we present a finite field analogue for one of the Appell series. We shall derive its transformations, reduction formulas as well as generating functions.
Bing He, Long Li, Ruiming Zhang
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NEW CONGRUENCES FOR THE TRUNCATED APPELL SERIES $F_1$
Bulletin of the Australian Mathematical SocietyAbstractLiu [‘Supercongruences for truncated Appell series’, Colloq. Math.158(2) (2019), 255–263] and Lin and Liu [‘Congruences for the truncated Appell series $F_3$ and $F_4$ ’, Integral Transforms Spec. Funct.31(1) (2020), 10–17] confirmed four supercongruences for truncated Appell series. Motivated by their work, we give a new supercongruence for
Xiaoxia Wang, Wenjie Yu
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Transformation properties of Andrews-Beck $NT$ functions and generalized Appell-Lerch series [PDF]
47 ...
Rong Chen, Xiaojie Zhu
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A note on Appell sequences, Mellin transforms and Fourier series [PDF]
Journal of Mathematical Analysis and Applications, 2019 A large class of Appell polynomial sequences {p n (x)} n=0 8 are special values at the negative integers of an entire function F(s, x), given by the Mellin transform of the generating function for the sequence. For the Bernoulli and Apostol-Bernoulli polynomials, these are basically the Hurwitz zeta function and the Lerch transcendent.
Luis M. Navas +2 more
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Appell sequences, continuous wavelet transforms and series expansions
Applied and Computational Harmonic Analysis, 2016 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Say Song Goh, Tim N.T. Goodman, S.L. Lee
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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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A finite sum representation of the Appell series F1(a,b,b′;c;x,y)
Journal of Computational and Applied Mathematics, 1999 The Appel function of the first kind is defined by the series (we use Pochammer symbols) \[ F_1(a,b,b';c;x,y)=\sum_{i,j=0}^\infty {(a)_{i+j}(b)_i(b')_j \over (c)_{i+j} i!j!} x^i y^j, \] converging in \(|x|
Annie Cuyt +3 more
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