Results 171 to 180 of about 4,179,714 (219)

Prenatal acoustic communication triggers adaptive vascular programming in the developing avian brain. [PDF]

J Exp Biol
Subba P, Mariette MM, Palios KA, Emmerson MG, Versace E, Buchanan KL, Clayton DF, George JM.   +7 more
europepmc   +1 more source

Interactome modules underlie shared spatiotemporal patterns in specific psychiatric and neurodegenerative disorders

Karunakaran KB, Ganesh S, Mahadevan J, Purushottam M, Balakrishnan N, Amemori K, Jain S, Viswanath B.   +7 more
europepmc   +1 more source

Appell series over finite fields and Gaussian hypergeometric series [PDF]

Research in Mathematical Sciences, 2021
Supervisor: Rupam BarmanIn this thesis we study classical hypergeometric series and Appell series over finite fields, and find finite field analogues of several product and summation formulas satisfied by the classical hypergeometric series ...
Rupam Barman
exaly   +2 more sources

k-Hypergeometric Series Solutions to One Type of Non-Homogeneous k-Hypergeometric Equations

Symmetry, 2019
In this paper, we expound on the hypergeometric series solutions for the second-order non-homogeneous k-hypergeometric differential equation with the polynomial term.
Shengfeng Li
exaly   +2 more sources

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An Analytic Continuation of the Hypergeometric Series

SIAM Journal on Mathematical Analysis, 1987
The points \(z=(1\pm i\sqrt{3})\) of the complex z-plane are on the boundary for each of the convergence domains of the various hypergeometric series which appear in the transformation or continuation formulas of the hypergeometric function \({}_ 2F_ 1(a,b;c;z)\). This paper presents a continuation formula containing series in powers of 1/(z-\()\) with
Wolfgang Bühring
exaly   +3 more sources

Supercongruences and truncated hypergeometric series

Proceedings of the American Mathematical Society, 2016
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Application of basic hypergeometric series

Applied Mathematics and Computation, 2004
The study of the average search costs in a digital search tree built from \(n\) random data relies on the explicit expression of the polynomial \(H_{n}(u)\), of degree \(n\) in \(u\), which has as the coefficient of \(u^{k}\) the expected number of nodes on this level.
Medhat Ahmed Rakha, Essam S. El-Sedy
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Hypergeometric Series, I

1989
In 1923, Hardy published a paper [1],[7, pp. 505–516] providing an overview of the contents of Chapter 12 of the first notebook. This chapter which corresponds to Chapter 10 of the second notebook, is connected primarily with hypergeometric series. It should be emphasized that Hardy gave only a brief survey of Chapter 12; this chapter contains many ...
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Ramanujan and hypergeometric and basic hypergeometric series

Russian Mathematical Surveys, 1990
An incomplete survey of hypergeometric series is given, and some of Ramanujan's work on hypergeometric and basic hypergeometric series is put into the general framework as we understand it now.
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Strange Evaluations of Hypergeometric Series

SIAM Journal on Mathematical Analysis, 1982
Many evaluations of terminating hypergeometric series at arguments other than 1 are given. Some are equivalent to some unpublished work of Gosper, while others are new. In particular, two new evaluations of ${}_7 F_6 $’s with four parameters are stated.
Gessel, Ira, Stanton, Dennis
openaire   +1 more source