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Orthogonal Basic Hypergeometric Laurent Polynomials
Symmetry, Integrability and Geometry: Methods and Applications, 2012 The Askey-Wilson polynomials are orthogonal polynomials in$x = cos heta$, which are given as a terminating $_4phi_3$ basic hypergeometric series. The non-symmetric Askey-Wilson polynomials are Laurent polynomials in $z=e^{iheta}$, which are given as a ...
Mourad E.H. Ismail, Dennis Stanton
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New Phytologist, Volume 250, Issue 5, Page 3460-3474, June 2026.Summary In plants, a key example of convergence is the repeated evolution of floral traits associated with the transition from outcrossing to self‐fertilization, often resulting in the ‘selfing syndrome’ (e.g. reduced flower size and loss of scent). However, potentially overlooked changes concern the pollen coat, which plays a role in different aspects
Ömer İltaş +7 more
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EncyclopediaThe observation of randomness patterns serves as guidance for the craft of probabilistic modelling. The most used count models—Binomial, Poisson, Negative Binomial—are the discrete Morris’ natural exponential families whose variance is at most quadratic ...
Sandra Mendonça +3 more
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Plant Biotechnology Journal, Volume 24, Issue 6, Page 4121-4135, June 2026.ABSTRACT Cassava (Manihot esculenta Crantz) exhibits exceptional tolerance to infertile soils and contains abundant cyanogenic glucosides (CGs). Previous research has indicated that CGs can serve as a significant reservoir of organic nitrogen in plants.
Weitao Mai +10 more
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Bilateral inversions and terminating basic hypergeometric series identities
, 2009 The q-analogue of Legendre inversions is established and generalized to bilateral sequences. They are employed to investigate the dual relations of three basic formulae due to Jackson and Bailey, on balanced 3ϕ2-series, well-poised 8ϕ7-series and ...
Chu, Wenchang, Wang, Chenying, WANG C.
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A Family of Integral Transformations and Basic Hypergeometric Series [PDF]
Communications in Mathematical Physics, 2006 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Advanced Science, Volume 13, Issue 26, 8 May 2026.GNL3 is a novel AR coregulator with dual coactivator and corepressor functions in prostate cancer (PCa). Our study uncovers a previously unrecognized mechanism by which the AR transcriptional complex integrates oncogenic signaling and immune suppression.
Cuiting Zhang +12 more
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Nonsymmetric interpolation Macdonald polynomials and gln basic hypergeometric series
, 2009 The Knop-Sahi interpolation Macdonald polynomials are inhomogeneous and nonsymmetric generalisations of the well-known Macdonald polynomials. In this paper we apply the interpolation Macdonald polynomials to study a new type of basic hypergeometric ...
Lascoux, Alain +5 more
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Two Inequalities for
Journal of Inequalities and Applications, 2008 We use the -binomial formula to establish two inequalities for the basic hypergeometric series . As applications of the inequalities, we discuss the convergence of -series.
Wang Mingjin
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Basic hypergeometric series very well-poised in U(n)
, 1987 We introduce and study a U(n) multiple series generalization of classical very well-poised basic hypergeometric series of one variable. Two new multiple series generalizations of the terminating 6Φ5 summation theorem are derived.
Milne, S.C
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