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Heavy-quark dominance and fine structure of excited heavy baryons $$\Sigma _{Q}$$ Σ Q , $$\Xi '_{Q}$$ Ξ Q ′ and $$\Omega _{Q}$$ Ω Q
Published 2024-12-01“…It modifies the energy level splitting of the orbital excitation significantly and causes the emergence of fine structures for $$\Sigma _{Q}$$ Σ Q , $$\Xi '_{Q}$$ Ξ Q ′ and $$\Omega _{Q}$$ Ω Q baryons. …”
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Testing the light scalar meson as a non- q q ¯ $$ q\overline{q} $$ state in semileptonic D decays
Published 2024-12-01“…Abstract While the light scalar mesons (S 0) are considered to be either ordinary q q ¯ $$ q\overline{q} $$ or exotic tetraquark states, we investigate the semileptonic decays D → S 0 e + ν e , by taking into account the resonant effects of S 0 → M 1 M 2, where S 0 = a 0(980), f 0(980), and f 0(500)/σ 0, and M 1(2) represents a pseudoscalar meson. …”
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𝑞-Bernstein Polynomials Associated with 𝑞-Stirling Numbers and Carlitz's 𝑞-Bernoulli Numbers
Published 2010-01-01“…Recently, Kim (2011) introduced 𝑞-Bernstein polynomials which are different 𝑞-Bernstein polynomials of Phillips (1997). …”
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Identities Involving q-Bernoulli and q-Euler Numbers
Published 2012-01-01“…We give some identities on the q-Bernoulli and q-Euler numbers by using p-adic integral equations on ℤp.…”
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Modulation spaces Mp,q for 0<p, q≦∞
Published 2006-01-01“…The purpose of this paper is to construct modulation spaces Mp,q(Rd) for general 0<p, q≦∞, which coincide with the usual modulation spaces when 1≦p,q≦∞, and study their basic properties including their completeness. …”
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On Q-algebras
Published 2001-01-01“…Moreover, we introduce the notion of quadratic Q-algebra, and show that every quadratic Q-algebra (X;∗,e), e∈X, has a product of the form x∗y=x−y+e, where x,y∈X when X is a field with |x|≥3.…”
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On the Sets of Convergence for Sequences of the 𝑞-Bernstein Polynomials with 𝑞>1
Published 2012-01-01“…The aim of this paper is to present new results related to the convergence of the sequence of the 𝑞-Bernstein polynomials {𝐵𝑛,𝑞(𝑓;𝑥)} in the case 𝑞>1, where 𝑓 is a continuous function on [0,1]. …”
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Exploring the q-Riemann zeta function and q-Bernoulli polynomials
Published 2005-01-01“…A new formula for the q-Riemann zeta function ζq(s) due to Kim in terms of nested series of ζq(n) is derived. …”
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On q-Euler Numbers Related to the Modified q-Bernstein Polynomials
Published 2010-01-01“…We consider q-Euler numbers, polynomials, and q-Stirling numbers of first and second kinds. …”
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The q-Chlodowsky and q-Szasz-Durrmeyer Hybrid Operators on Weighted Spaces
Published 2020-01-01“…The main aim of this article is to introduce a new type of q-Chlodowsky and q-Szasz-Durrmeyer hybrid operators on weighted spaces. …”
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On Saigo Fractional $q$-Calculus of a General Class of $q$-Polynomials
Published 2024-03-01Subjects: “…saigo fractional $q$-integral operators…”
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A characterization of the desarguesian planes of order q2 by SL(2,q)
Published 1983-01-01“…The main result is that if the translation complement of a translation plane of order q2 contains a group isomorphic to SL(2,q) and if the subgroups of order q are elations (shears), then the plane is Desarguesian. …”
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Classification theorem on irreducible representations of the q-deformed algebra U′q(son)
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Zeros of Analytic Continued q-Euler Polynomials and q-Euler Zeta Function
Published 2014-01-01“…We study that the q-Euler numbers En,q and q-Euler polynomials En,q(x) are analytic continued to Eq(s) and Eq(s,w). …”
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The geometry of GL(2,q) in translation planes of even order q2
Published 1978-01-01“…In this article we show the following: Let π be a translation plane of even order q2 that admits GL(2,q) as a collineation group. …”
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On q-Convex Functions Defined by the q-Ruscheweyh Derivative Operator in Conic Regions
Published 2022-01-01“…The core objective of this article is to introduce and investigate a new class β−UCVqλA,B of convex functions associated with the conic domain defined by the Ruscheweyh q-differential operator. Many interesting properties such as sufficiency criteria, coefficient bounds, partial sums, and radius of convexity of order α for the functions of the said class are investigated here.…”
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The geometry of GL(2,q) in translation planes of even order q2
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Certain Bound for q-Starlike and q-Convex Functions with respect to Symmetric Points
Published 2015-01-01“…The aim of this paper is to establish the coefficient estimates for the subclasses of q-starlike and q-convex functions with respect to symmetric points involving q-difference operator. …”
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Certain Subclasses of β-Uniformly q-Starlike and β-Uniformly q-Convex Functions
Published 2020-01-01“…In this paper, the authors introduced certain subclasses β-uniformly q-starlike and β-uniformly q-convex functions of order α involving the q-derivative operator defined in the open unit disc. …”
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Some Identities on the 𝑞-Integral Representation of the Product of Several 𝑞-Bernstein-Type Polynomials
Published 2011-01-01“…The purpose of this paper is to give some properties of several 𝑞-Bernstein-type polynomials to express the 𝑞-integral on [0, 1] in terms of 𝑞-beta and 𝑞-gamma functions. …”
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