Results 11 to 20 of about 11,483,751 (209)
Applications of q-Real Numbers to Triple q-Hypergeometric Functions and q-Horn Functions
, 2023 The purpose of this article is to study how q-real numbers can be used for computations of convergence regions, q-integral representations of certain multiple triple q-Lauricella functions.
Thomas Ernst
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Second order linear $q$-difference equations: nonoscillation and asymptotics [PDF]
, 2011 summary:The paper can be understood as a completion of the $q$-Karamata theory along with a related discussion on the asymptotic behavior of solutions to the linear $q$-difference equations.
Řehák, Pavel
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, 2020 In this paper, we study the existence of nontrivial solutions for a system of fractional q-difference equations involving q-integral boundary conditions, and we use the topological degree to establish our main results by considering the first eigenvalue ...
Jiafa Xu +3 more
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The Fixed Points of Solutions of Some q-Difference Equations [PDF]
, 2014 The purpose of this paper is to investigate the fixed points of solutions f(z) of some q-difference equations and obtain some results about the exponents of convergence of fixed points of f(z) and f(qjz) (j∈N+), q-differences Δqf(z)=f(qz)-f(z), and q ...
Hong-Yan Xu, Xiu-Min Zheng, Jun-Feng Xu
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Difference equations over fields of elliptic functions.
, 2021 Adamczewski and Bell proved in 2017 a 30-year old conjecture of Loxton and van der Poorten, asserting that a Laurent power series, which simultaneously satisfies a p-Mahler equation and a q-Mahler equation for multiplicatively independent integers p and ...
Deshalit, Ehud
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, 2023 In this review paper, our aim is to study the current research progress of q-difference equations for generalized Al-Salam–Carlitz polynomials related to theta functions and to give an extension of q-difference equations for q-exponential operators and q-
Mohammed Fadel +3 more
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Approximate Roots and Properties of Differential Equations for Degenerate q-Special Polynomials
, 2023 In this paper, we generate new degenerate quantum Euler polynomials (DQE polynomials), which are related to both degenerate Euler polynomials and q-Euler polynomials.
Cheon-Seoung Ryoo, Jung-Yoog Kang
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Asymptotic iteration method for solving Hahn difference equations
, 2021 Hahn’s difference operator Dq;wf(x)=(f(qx + w) – f(x))/((q – 1)x + w), q ∈ (0, 1), w > 0, x = w/(1 – q) is used to unify the recently established difference and q-asymptotic iteration methods (DAIM, qAIM).
Md. Shafiqul Islam +2 more
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q-Difference equations for the 2-iterated q-Appell and mixed type q-Appell polynomials [PDF]
, 2018 In this article, the authors establish the recurrence relations and q-difference equations for the 2-iterated q-Appell polynomials. The recurrence relations and the q-difference equations for the 2-iterated q-Bernoulli polynomials, the q-Euler ...
H. M. Srivastava +5 more
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The homotopy analysis method for q-difference equations
, 2018 The q-difference equations are kind of important problems in q-calculus and applied mathematics. In this paper, the homotopy analysis method is extended to find approximate solution for some of q-differential equations.
Hany N. Hassan, Mourad S. Semary
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