Results 31 to 40 of about 235,552 (326)
, 2004 We complete the construction of raising and lowering operators, given in a previous work, for the orthogonal polynomials of hypergeometric type on non-homogeneous lattice, and extend these operators to the generalized orthogonal polynomials, namely ...
Alvarez-Nodarse R +24 more
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An algebraic interpretation of the multivariate $q$-Krawtchouk polynomials [PDF]
, 2015 The multivariate quantum $q$-Krawtchouk polynomials are shown to arise as matrix elements of "$q$-rotations" acting on the state vectors of many $q$-oscillators. The focus is put on the two-variable case.
Genest, Vincent X. +2 more
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Non-linear difference polynomials sharing a polynomial with finite weight
Ratio MathematicaThe uniqueness theory of meromorphic function mainly studies the conditions under which there exists only one function satisfying these conditions. The uniqueness theory of entire and meromorphic functions has grown up as an extensive sub-field of value ...
Harina Pandit Waghamore +1 more
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q-Calculus as operational algebra; pp. 73–97 [PDF]
Proceedings of the Estonian Academy of Sciences, 2009 This second paper on operational calculus is a continuation of Ernst, T. q-Analogues of some operational formulas. Algebras Groups Geom., 2006, 23(4), 354â374. We find multiple q-analogues of formulas in Carlitz, L.
Thomas Ernst
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Polynomial Differences in the Primes [PDF]
, 2014 We establish, utilizing the Hardy-Littlewood Circle Method, an asymptotic formula for the number of pairs of primes whose differences lie in the image of a fixed polynomial. We also include a generalization of this result where differences are replaced with any integer linear combination of two primes.
Lyall, Neil, Rice, Alex
openaire +2 more sources
AIMS MathematicsWe construct a new type of Genocchi polynomials using degenerate quantum exponential functions and find various forms of $ (q, h) $-difference equations with these polynomials as solutions. This paper includes properties of the symmetric structures of $ (
Jung Yoog Kang , Cheon Seoung Ryoo
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Value Sharing Results for q-Shifts Difference Polynomials
Discrete Dynamics in Nature and Society, 2013 We investigate the zero distribution of q-shift difference polynomials of meromorphic functions with zero order and obtain some results that extend previous results of K. Liu et al.
Yong Liu +3 more
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Unicity of transcendental meromorphic functions concerning differential-difference polynomials
AIMS Mathematics, 2022 Let $ f $ and $ g $ be two transcendental meromorphic functions of finite order with a Borel exceptional value $ \infty $, let $ \alpha $ $ (\not\equiv 0) $ be a small function of both $ f $ and $ g $, let $ d, k, n, m $ and $ v_j (j = 1, 2, \cdots, d) $
Zhiying He, Jianbin Xiao, Mingliang Fang
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Schubert polynomial expansions revisited
Forum of Mathematics, SigmaWe give an elementary approach utilizing only the divided difference formalism for obtaining expansions of Schubert polynomials that are manifestly nonnegative, by studying solutions to the equation $\sum Y_i\partial _i=\operatorname {id}$ on ...
Philippe Nadeau +2 more
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$q$-Classical orthogonal polynomials: A general difference calculus approach
, 2009 It is well known that the classical families of orthogonal polynomials are characterized as eigenfunctions of a second order linear differential/difference operator.
A.F. Nikiforov +26 more
core +4 more sources