Results 151 to 160 of about 12,909 (197)
Appel à contributions : Annales de l’Université de Craiova journal, Psychology-Teaching series
, 2018 openaire +2 more sources
Appel : Monographs and edited collections for the new horror series "Terror: Estudios Criticos"
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Appel à contribution: New Book Series, Non-Mainstream Religion in the Middle East, Brill
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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¦
Yu. A. Kaz’min
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Appell series over finite fields and Gaussian hypergeometric series
Research in the Mathematical Sciences, 2021 In this article, we find finite field analogues of certain identities satisfied by the classical $${_4}F_3$$ -hypergeometric series and Appell series. As an application, we find new summation and product formulas satisfied by the Gaussian hypergeometric ...
Mohit Tripathi, Rupam Barman
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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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On a generalized Appell system and monogenic power series
Mathematical Methods in the Applied Sciences, 2009 AbstractRecently Appell systems of monogenic polynomials in ℝ3were constructed by several authors. Main purpose of this paper is the description of another Appell system that is complete in the space of square integrable quaternion‐valued functions. A new Taylor‐type series expansion based on the Appell polynomials is presented, which can be related to
S. Bock, Klaus Gürlebeck
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Appell series 𝔽1 over finite fields
International Journal of Number Theory, 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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Congruences for the truncated Appell series F3 and F4 [PDF]
Integral Transforms and Special Functions, 2019 In this paper, we establish two congruences on the truncated Appell series F3 and F4, one of which relates the truncated Appell series F4 to the values of p-adic Gamma functions.
Keyu Lin, Ji-Cai Liu
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Supercongruences for truncated Appell series
Colloquium Mathematicum, 2019 Ji-Cai Liu
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