Results 151 to 160 of about 6,972,539 (190)

Integrative Surface Antigen Profiling of KLK2 and STEAP1 in Advanced Prostate Cancer. [PDF]

Mol Cancer Res
Sayar E, Richards HM, Gulati R, Patel RA, Hanratty B, Lee HJ, Coleman I, Mustafi P, Ding CC, Chen WS, Quigley D, Setty M, Lang JM, True LD, Kollath L, Lin DW, Luo J, Lee JK, Ha G, Yu EY, Cheng HH, Montgomery B, Corey E, Morrissey C, Schweizer MT, Nelson PS, Raychaudhuri R, Haffner MC.   +27 more
europepmc   +1 more source

Two New Transformation Formulas of Basic Hypergeometric Series

Journal of Mathematical Analysis and Applications, 2007
By means of a modified version of Cauchy's method for obtaining bilateral series identities, two new transformation formulas for bilateral basic hypergeometric series are derived. These contain several important identities for basic hypergeometric series
Zhizheng Zhang
exaly   +2 more sources

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Dn Basic Hypergeometric Series

Ramanujan Journal, 1999
The purpose of this paper is the study of multiple series extensions of basic hypergeometric series related to the root system \(D_n\). The starting point in this paper is a small change in the notation of \(C_n\) and \(D_n\) series to bring them closer to \(A_n\) series.
Gaurav Bhatnagar
exaly   +2 more sources

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
openaire   +3 more sources

Some Identities Between Basic Hypergeometric Series Deriving From a New Bailey-Type Transformation [PDF]

Journal of Mathematical Analysis and Applications, 2008
We prove a new Bailey-type transformation relating WP-Bailey pairs. We then use this transformation to derive a number of new 3- and 4-term transformation formulae between basic hypergeometric ...
James Mc Laughlin, Peter Zimmer
exaly   +2 more sources

CAUCHY AUGMENTATION FOR BASIC HYPERGEOMETRIC SERIES

Bulletin of the London Mathematical Society, 2004
The authors introduce a method which they call ``Cauchy augmentation'', in order to derive certain summation and transformation formulas for basic hypergeometric series from specializations of them. This method is essentially an application to those series of an identity, due to Cauchy, which gives the expansion of a power of \(x\) in terms of the \(q\)
Chen, William Y. C., Fu, Amy M.
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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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Hypergeometric and Basic Hypergeometric Series and Integrals Associated With Root Systems [PDF]

, 2020
39 pages; small changes and references added; this text will appear as a chapter in the book "Multivariable Special Functions" (edited by Tom Koornwinder and Jasper Stokman) which is part of the new Askey-Bateman ...
exaly   +3 more sources